Theories of Everything with Curt Jaimungal - When Physics Gets Rid of Time and Quantum Theory | Julian Barbour
Episode Date: April 29, 2025What if quantum mechanics is not fundamental? What if time itself is an illusion? In this new episode, physicist Julian Barbour returns to share his most radical ideas yet. He proposes that the univer...se is built purely from ratios, that time is not fundamental, and that quantum mechanics might be replaced entirely without the need for wave functions or Planck’s constant. This may be the simplest vision of reality ever proposed. As a listener of TOE you can get a special 20% off discount to The Economist and all it has to offer! Visit https://www.economist.com/toe Join My New Substack (Personal Writings): https://curtjaimungal.substack.com Listen on Spotify: https://tinyurl.com/SpotifyTOE Become a YouTube Member (Early Access Videos): https://www.youtube.com/channel/UCdWIQh9DGG6uhJk8eyIFl1w/join Videos Mentioned: Julian’s previous appearance on TOE: https://www.youtube.com/watch?v=bprxrGaf0Os Neil Turok on TOE (Big Bang): https://www.youtube.com/watch?v=ZUp9x44N3uE Neil Turok on TOE (Black Holes): https://www.youtube.com/watch?v=zNZCa1pVE20 Debunking “All Possible Paths”: https://www.youtube.com/watch?v=XcY3ZtgYis0 John Vervaeke on TOE: https://www.youtube.com/watch?v=GVj1KYGyesI Jacob Barandes & Scott Aaronson on TOE: https://www.youtube.com/watch?v=5rbC3XZr9-c The Dark History of Anti-Gravity: https://www.youtube.com/watch?v=eBA3RUxkZdc Peter Woit on TOE: https://www.youtube.com/watch?v=TTSeqsCgxj8 Books Mentioned: The Monadology – G.W. Leibniz: https://www.amazon.com/dp/1546527664 The Janus Point – Julian Barbour: https://www.amazon.ca/dp/0465095461 Reflections on the Motive Power of Heat – Carnot: https://www.amazon.ca/dp/1514873974 Lucretius: On the Nature of Things: https://www.amazon.ca/dp/0393341364 Heisenberg and the Interpretation of QM: https://www.amazon.ca/dp/1107403510 Quantum Mechanics for Cosmologists: https://books.google.ca/books?id=qou0iiLPjyoC&pg=PA99 Faraday, Maxwell, and the EM Field: https://www.amazon.ca/dp/1616149426 The Feeling of Life Itself – Christof Koch: https://www.amazon.ca/dp/B08BTCX4BM Articles Mentioned: Time’s Arrow and Simultaneity (Barbour): https://arxiv.org/pdf/2211.14179 On the Moving Force of Heat (Clausius): https://sites.pitt.edu/~jdnorton/teaching/2559_Therm_Stat_Mech/docs/Clausius%20Moving%20Force%20heat%201851.pdf On the Motions and Collisions of Elastic Spheres (Maxwell): http://www.alternativaverde.it/stel/documenti/Maxwell/1860/Maxwell%20%281860%29%20-%20Illustrations%20of%20the%20dynamical%20theory%20of%20gases.pdf Maxwell–Boltzmann distribution (Wikipedia): https://en.wikipedia.org/wiki/Maxwell–Boltzmann_distribution Identification of a Gravitational Arrow of Time: https://arxiv.org/pdf/1409.0917 The Nature of Time: https://arxiv.org/pdf/0903.3489 The Solution to the Problem of Time in Shape Dynamics: https://arxiv.org/pdf/1302.6264 CPT-Symmetric Universe: https://arxiv.org/pdf/1803.08928 Mach’s Principle and Dynamical Theories (JSTOR): https://www.jstor.org/stable/2397395 Timestamps: 00:00 Introduction 01:35 Consciousness and the Nature of Reality 3:23 The Nature of Time and Change 7:01 The Role of Variety in Existence 9:23 Understanding Entropy and Temperature 36:10 Revisiting the Second Law of Thermodynamics 41:33 The Illusion of Entropy in the Universe 46:11 Rethinking the Past Hypothesis 55:03 Complexity, Order, and Newton's Influence 1:02:33 Evidence Beyond Quantum Mechanics 1:16:04 Age and Structure of the Universe 1:18:53 Open Universe and Ratios 1:20:15 Fundamental Particles and Ratios 1:24:20 Emergence of Structure in Age 1:27:11 Shapes and Their Explanations 1:32:54 Life and Variety in the Universe 1:44:27 Consciousness and Perception of Structure 1:57:22 Geometry, Experience, and Forces 2:09:27 The Role of Consciousness in Shape Dynamics Support TOE on Patreon: https://patreon.com/curtjaimungal Twitter: https://twitter.com/TOEwithCurt Discord Invite: https://discord.com/invite/kBcnfNVwqs #science Learn more about your ad choices. Visit megaphone.fm/adchoices
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Conditions apply to all benefits. Visit pcfinancial.ca for details. I think it's just possible that there really isn't any quantum mechanics at all.
It's just a manifestation of classical physics that has not been recognized.
This is a major discovery in Newton's theory of gravity, only four years old.
This is probably the most important symmetry in physics. This is why
I think we may have stumbled on the nature of creation. Physics traditionally builds from
notions of time and scale. However, today we have a treat with British physicist Julian Barbour,
who argues that the universe is grounded fundamentally in relationships between particles.
And this upends even the primacy of wave functions.
All the evidence can in principle be explained without any wave function.
Discarding external clocks and rulers, Julian develops something called shape dynamics.
This is where instantaneous configurations or snapshots are primary.
My conjecture now is that the whole story is incredibly much simpler than anybody thinks.
Ordinarily, we rely on concepts like entropy increase and the past hypothesis to explain
times arrow. However...
The second law applies to systems in a box. If the universe is not in a box, all bets are off.
This relational view implies that quantum mechanics comes from the statistics of the ratios of the shapes between particles.
Nothing but ratios.
You said that you have some radical ideas that you've developed recently with your main collaborator about the structure of creation.
You're going to speak about what that means. You also have some ideas on consciousness and some new ideas about
how quantum theory needs to be interpreted
without reference to wave functions or Planck's constant.
Please explain what all of that means.
Right. Well, leaving actually,
well, just about quantum mechanics.
I think it's just possible that there really isn't any quantum mechanics at all.
It's just a manifestation of classical physics that has not been recognized.
But let's come to that because we need to build up to it step by step.
All of this has come from, in fact, it came from a very standard idea that's been doing the rounds in attempts to
create quantum gravity for 60 years, because, well, nearly 60 years, when the famous Wheeler-Dewitt
equation suggested that the quantum universe was completely static.
There were just probabilities for different configurations.
If you had the simplest model universe of three particles that would form a triangle,
according to the Wheeler-DeWitt equation, you would just have probabilities for those
triangles and nothing less. Now, I've been thinking for a long time. It's nonsense to say if there's just three particles
that they have a triangle which has both a shape and a size because a size assumes that
you've got a ruler in addition to the universe. If there's three particles in the whole universe,
it's ridiculous to say that there's a ruler in addition to measure its size.
So you must think just purely in terms of its size.
Sorry, its shape.
So my idea was to, so in this idea with the Wheeler-Dewitt equation, people had been thinking
that there's no sort of change overall, but what happens is part of the universe looks, if
you look what, well, you can see as I move my head, my head is moving relative to the
background.
But you could have lots of snapshots where my head is in different positions relative
to the background.
So you would have a heap of snapshots.
My head is there in different positions relative to the background.
And then they would say that my head is the hand of the moving clock.
And that tells you what the rest of the universe.
You'd have to have pictures with the rest of my room looking rather different than it is with just that beam above behind me.
This was called the internal time idea.
People have been putting it forward different versions of what they would propose.
Now, none of them had chosen something which was scale invariant and it was always a bit
invidious. They were choosing out one part of the universe to be the clock and the rest to be the
rest of the universe. So then I suggested, well, first of all, it should be something which
doesn't depend on size. It should be scale invariant. It should be just something that depends upon the size, the size of the shape.
And let's see what's happened.
So you can consider, I introduced a long time ago, the notion of shape space.
So if you have three identical particles, they're shape space, it just consists of the complete set
of all the shapes that those three particles can make. There's one distinguished, which is the
equilateral triangle, and then they get more and more pointed. So there's one particle here and two,
and they get further out like that.. I suggested that quantum theory,
the time of quantum theory should be
something which measures that quantity.
That quantity turns out to be very, very interesting.
When my collaborator, I wrote down,
I proposed a time-dependent Schrodinger equation
where that quantity is the time.
Now, it's scale invariant.
So it can't have a Planck's constant because Planck's constant has got dimensions.
It's got the dimensions of action.
So that would mean already that
Planck's constant would have to emerge out of the theory.
Sorry, what are you trying to measure?
You said you're trying to measure that?
What's the that?
The, this quantity,
something that would be scale invariant.
Well, I wonder why don't we actually look at the,
on page one,
because there's a formula there which would.
Sure.
Well, first of all, this is very, very interesting.
A lot of this has come from me reading Leibniz back in 1977. And Leibniz said,
if there was no variety in the world, we couldn't say anything. We couldn't see anything. We
wouldn't exist. I mean, you can see me talking because this variety,
there's a lot of different structure in my head and behind me and things like that.
So Leibniz elevated variety to
the maximum most important thing that you could have in anything.
It's surprising how few people think that way in theoretical physics.
You mean to say that in order for you to perceive something or in order for something to exist,
there needs to be difference?
There has to be difference, yes. So I'm calling it variety.
So then the question is, suppose the universe just consists of point particles or points, and they exist in space.
So then given those points distributed in space, what is the simplest scale invariant
number which characterizes the extent to which they are distributed or uniformly clustered?
So that's sort of the first thing. I mean, think about looking at the
stars at night. I mean, wonderful if you're in Arizona or somewhere and you can see there's the
constellation of Orion. It's a distribution of stars and it stands out. There's variety there,
and then there's large stretches of the sky where there's not much variety and then the other ones where there are.
So then the question is, can you express that mathematically?
So in Euclidean space, suppose there are just three particles.
Now here's my definition for variety.
So they are the separations between, let there be three particles and let the separations between them be A,
B, and C. Now square all those separations,
and you can make as many as you like.
You just go on adding more however many separations you've got.
You take the square root of that,
and then you multiply it by the sum of one over a plus 1 over b plus 1 over c. Now if you
look at that expression clearly if you multiply everything by x so everything in the square root
you multiply by x so that makes it x squared so you can take the x squared out and it becomes x on
the top and then you do
the bottom the same with the ones on the right, and you get an x one over x. So you get x over x
equals one. So that quantity has not changed its scale invariant. And this is really, to me, amazing
This is really, to me, amazing that, as I say, this quantity emerged in Newton's theory of gravity
in a special situation when in the Newtonian terms,
all the particles collide together.
But in reality, what's happening is the shape is
becoming an equilateral triangle.
That's the most interesting case.
It can also happen if they're all on a line.. That's the most interesting case. It can also
happen if they're all on a line, but it's a very special shape. That's the only case I know in the
whole of theoretical physics where something which does not depend on scale plays a role.
I've increasingly come to think this is probably the most important symmetry in physics,
far more important than the Lorentz group and all the other things that seem to be so very important.
And it's really fascinating what that number does, that pure number there.
It's such a simple number. fascinating what that number does, that pure number there.
It's such a simple number.
And Leibniz wrote a famous little book called The Monadology in 1714.
Well, time doesn't exist, so it could have been 1900s.
Yes, that's right.
But duration doesn't exist. I would say instance of time exists.
They are like the images on a pack of cards or something like that. We showed that last time we
spoke. Yeah. And just for people who are wondering about the last time we spoke, it was a video that
went quite viral actually, especially for how in-depth and technical it was.
And I'll place that link on screen and in the description.
Yes.
So Leibniz talked about looking at a town from different points of view.
And he says, they all look different, but there's really just one town there seen from
different points of view.
He says they're multiplied in perspective.
And then he says, this is the means of obtaining as much variety as possible,
but with the greatest order possible.
And he certainly didn't have that expression that I've got there, variety, the one that I've just described with the square root and then the thing that multiplies it.
But I think this is there, you could make many more like that, but this is the absolute simplest one you can choose.
And in fact, there's two or three really fascinating things about it.
One is that when you really look at Newton's theory, so Newton introduced these concepts
of absolute space, absolute time, absolute space, and with absolute space goes the notion
of an absolute scale, that there is a ruler outside the universe. When you
get rid of those things which Newton added and you just keep his notion of the gravitational force
and his second law of motion, what you find is that the real core of Newton's theory
find is that the real core of Newton's theory for three particles is just that quantity that I've called variety there. It comes out of saying, well, there are points in space just like there
are stars in the sky, and lo and behold, the expression you use to characterize
their distribution is right at the heart.
It's the beginning and end of Newton's theory of gravity.
Isn't that pretty surprising for a start?
Then even more remarkable,
and this was a discovery that was made about four years ago.
This came about because I've been talking for many years to a professor at the Observatory
in Paris about Newton's theory of gravity, and particularly because there are Newtonian
big bangs.
What do you mean? So back in 1907, a Finnish mathematician called Sundman asked in Newtonian terms,
can all the three particles, so there's a three-body problem, that's three particles
interacting with each other, can they all collide together at a point?
He said, nobody's asked this question before, but I'm going to prove that they can.
What he meant by that is that that quantity that's the square root vanishes, that one that is the
sum of the things that's that square root would vanish because that's the quantity which measures the size of a
Newtonian three-body universe, three-particle universe.
Why can't it trivially vanish in the equilateral case that you mentioned as long as the masses
are the same?
They can in an absolute space, but if they start off and you imagine they've got a certain size,
this is why it is so difficult to shed a lot of preconceptions that are built into us by
our experience, the way we live on the surface of the stable Earth. I come into my study,
you see it behind me, and it always seems to be the same size.
Now, it's the same size relative to me. The ratio of the sizes doesn't change,
and that leads us to believe that sizes are absolute. But without all the evidence from
the universe around us and in the first place, the world around us, we couldn't say something like that.
If you start and you imagine that you've got an equilateral triangle of a given size,
you can only make the size vanish by bit by bit bringing the points closer to each other. It still stays as an equilateral triangle. So however small you
make it, it stays an equilateral triangle. Now what it turns out in Newton's theory of gravity,
when you try and do that imagining that this quantity in the square root,
under the square root, it's the square root measures the size,
you find that Newton's equations stop.
When you get to the equilateral shape,
the equations don't work any longer.
You can't go any further.
This was discovered in 1907.
There's a special condition.
They can't have any angular momentum.
They can't be rotating at all.
But then in Newtonian terms, if you run that the other way, what happens is that then the
shape changes.
So it starts off equilateral and then the shape changes
and becomes more and more pointed.
And in fact, then you find that two particles
start going around each other
and the other one goes off in the other direction.
So things start happening.
But that's really a Newtonian big bang.
It starts with the equilateral triangle.
That's the first instant of time.
And then things happen, so to speak, you go on there.
So that's all very interesting.
Now, this is 20 years,
two decades before Hubble discovers expansion of the universe.
But it's sitting there in Newton's theory,
and that equilateral triangle is,
is in some very real sense the first
instant of time.
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After that, things happen.
Moreover, then a year later, it was shown that that can happen with an arbitrary number of particles.
You can have a trillion particles.
They can't all start off as equal out of a triangle, but they will start off with a very, very, very uniform shape.
Won't be completely uniform.
It'll be somewhat like the one on the left-hand one at
the bottom of the illustration that I'm showing there.
So the bottom left would be akin to the FRW universe?
Well, no, Friedman-Robertson walk,
you see that I would say cosmology is very, very suspect.
I've been discussing this with one or two really top cosmologists because there's no
variety in it at all.
It's completely washed out and they do actually quite struggle.
So all of modern cosmology relies upon something called inflation and
quantum effects while inflation is happening. Now, in part, it works remarkably well, but
it's all a bit ad hoc and people don't quite know how it starts.
The great joy about the Newtonian theory is there's always variety there and it will form
structure.
So that was the great problem with Friedman-Robertson-Walker in general relativity.
How on earth does the structure form?
What I mean to say is if you take a look at the bottom left one, that one looks like the
homogenous universe that's isotropic, whereas the one on the right is what characterizes people's experience when
they look up at the galaxies and the stars.
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What characterizes people's experience
when they look up at the galaxies and the stars?
Yes. But in fact, if you could see it,
why don't we actually a better one,
why don't we go and look at page three.
On the left, this is again equivalent to the first instant of time.
On the left, this is 5,000 particles,
an incredible spherical ball.
That's unique, this extraordinary spherical ball.
It only happens exactly with Newton's theory.
Then on the right, there's
an equatorial section through it. You'll see, although it's very uniform, it's not perfectly
uniform. Newtonian theory is completely lacking that appalling problem that they had in cosmology
with Einstein's theory, which starts the Friedman-Robertson-Walker model,
which has been the backbone of cosmology for 60 years or more, 80 years.
When you say that people here are looking at particles,
particles are usually defined with respect to some space-time symmetry.
So, for instance, in electrons like a certain irreducible representation of the Poincare symmetry.
So what sort of particle here is there
if you don't have space in order for you to even have space-time? How are you
defining particles? I'm just using Euclidean space. Euclidean space is
you can have different, you can have points separated by Euclidean distances.
Okay, so these are just points in Euclidean space,
and you're calling those points particles.
I think what I'm now
arguing is that it's very interesting.
The challenge I'm putting to people and to myself and
my collaborators is let us make this absolutely the simplest
possible way we can to explain
all the variety that we find in the universe, everything that we find around us and things
like that. In the end, remember this is a point that the famous John Bell made, who made those amazing discoveries
in quantum mechanics.
All the information that comes out of these experiments that are done at CERN is actually
images or information.
It's a printout.
The information is actually always a little bit like what you see on the page three.
You see black dots on white paper and then you see some words underneath saying what they mean.
So everything that we know about the universe is deduced from, well, from variety to which we attach meaning because of the structure that it has.
This is my main project now with my main collaborators is just to see how far we can go in explaining
everything we know about the universe in the
utterly simplest possible terms.
So first of all, ratios are essential.
So I allow the different particles to have different ratios of their masses.
I allow the electromagnetic force or the electric charges to be much stronger than the gravitational
mass, the strength there.
So the electrostatics can be much, much stronger than gravity.
And then the other thing are the ratios of separation.
So if you have a triangle, one of the sides can be shorter than the other two.
So that's a ratio there.
And in fact, I would say that's the way to think about the expansion of the universe.
If the equilateral triangle, if the sides of the triangle are aware of themselves, or
shall we say that the triangle is aware of themselves. Or shall we say that the triangle is aware of itself. We
have this effect of proprioception. This is the sense where as I speak, I know how far apart my
two knees are and I can bring them together and I'm confident that they will bump when I do it. That's a pretty amazing property. Now if the universe is like that,
the shortest side is a triangle would start off and say, ah, all my sides are equal.
But then after a bit it would say, ah, side A is shorter than the other two and side A will say,
ah, the universe is getting bigger because the other particle is going
away from the two of us that make side A. So that's how I think one should think of
the expansion of the universe. That's not the way people think about it in cosmology.
They talk about space expanding. I'm not saying this is going to be right, that we're all going to get Nobel prizes
in a few years or anything like that.
But what I'm saying is it's a very, very good exercise that should be done to see if we
can root out all of the assumptions that don't really need to be made.
I think that consciousness has put a lot of wrong ideas into our head.
The first one is closely related to one that I already spoke about before, which is motion. When I do that, you see my hand moving.
Now that's clearly an effect of consciousness. That you can see me is clearly also consciousness,
but that you see me moving. Now, is the movement as important as the instantaneous position of my finger? But the position of my
finger, the instantaneous position of my finger, must be more fundamental than its being in
different positions because you couldn't say that it's in a move to a different position without
those knowledge about the position. So if you look through the whole history of dynamics
from Newton's great advance in 1687,
all the way through,
they have, theoreticians have put position
on the same status as they've given motion,
the same status as position, or rather the momentum. So momentum and position motion the same status as position,
or rather the momentum.
So momentum and position have the same status.
That was formalized in very beautiful mathematical theory
by the great Irish theoretician Hamilton in the 1830s.
There were what they call canonical coordinates,
position and momentum are canonical coordinates.
That goes right through,
that was the basis of the quantum mechanics that was then
discovered by Heisenberg and by Schrodinger.
You see it exactly in Heisenberg's famous uncertainty principle,
where the position and the momentum are said to be equally important. You can't measure both of
them accurately at the same time. There's always some uncertainty around it. But the underlying
statement, and it's right at the heart of the whole of quantum mechanics, is that they are on
an equal footing. But I think that's very, very suspicious. Particularly if really the reality, so what, in my book, The End of Time, years ago, I
suggested that when we see a kingfisher in flight, incredibly beautiful, what is really
in our brain when we think we see the kingfishnan flight is service a six or seven snapshots.
Arrange in encoded in our neurons.
They're all there in one instant and then consciousness of the brain plays the movie for us.
and the brain plays the movie for us. It's really a static arrangement of six or seven snapshots,
which we then experience as motion.
Let me see if I can get this straight.
When movies first came out and there were something like
10 frames a second or so,
something small, maybe even five frames a second,
they were shown on some wheel and there was
someone dancing or a horse moving.
And they would say, look, the illusion of motion is being created because
actually these are just different snapshots and you move them quick,
and your brain creates motion.
You're saying, actually, that's what the world is.
It's not just this film that produces the illusion of motion.
The world produces the illusion of motion
in concert with your consciousness or your perception? Yes, I would say it's the,
if you say there are particles in my brain and there are
particles in your brain and particles in my laptop screen and things like that,
that's all interconnected.
There are distances between all of these particles.
And I would say in my brain at this moment,
there's a whole lot of encoded images of you and myself,
because I can see myself as I talk to you.
And it's just that the brain and consciousness
are playing the movie,
are making it appear continuous.
So the first task is, but it's a huge task,
but it's a very clearly defined task,
is to say everything must be expressed
in terms of separations between points,
and every experience we have must
somehow be correlated, explained by the differences in the separation between points.
So in my image with the Kingfisher, the images of the Kingfisher against the background,
there are differences.
So I've got my six or seven snapshots of the Kingfisher, but first of all, the Kingfisher against the background, there are differences. So I've got my six or seven snapshots of the Kingfisher,
but first of all, the Kingfisher's wings
are in slightly different relative positions to each other
and also relative to the bank of the river
against which it's flying along.
So those are differences there.
So that's enough fact from which my experience of motion can be
explained or correlated. Now a relatively easy one is the experience of heat. So we
touch something and it's hot. But what, when the old thermometers, the mercury thermometers, with a bit of mercury in a tube,
how did that get the temperature measured? Well, the atoms or whatever the form that the different
particles in the mercury take, they are moved slightly further apart. So it's not, so if
these ideas are right, it's not that there is any real motion at all, it's just that
the greater separation between the particles when I touch it, I feel that as heat. So the separations of the molecules in my finger when I touch the slightly
hotter thing, that then comes to me as the feeling that it's hotter, that that body is
hotter than my finger. And it's not to do with, so the standard story of a hot body
is it's hot because there's lots of part of the particles are all moving around relative
to each other at a terrific high speed. So this is saying, no, there could be a completely
different explanation. This is my principle, reduce everything to the absolute minimum that you can do it. I believe that just the relative positions,
all expressed as ratios of points,
are sufficient to explain everything that we experience.
Let's linger on this for a moment.
Can you explain the traditional account of what temperature slash heat is,
and then what it would be in your model plus how that connects to entropy?
Because as we were speaking about off air,
you were suggesting that entropy was some
emergent property or emergent illusion or not fundamental.
Yes. People were already suspecting it in soon after Newton's time, but by the mid-19th
century people were suspecting that there really were atoms and that when we feel heat
or hot bodies, they really are just atoms or molecules moving relative to each other.
The faster they move,
the hotter the object is.
Then there was very brilliant work done from 1850 through to 1875
by it started with somebody called Rudolph Claudius. He was the person
who first formulated the second law of thermodynamics that very, very simple, that heat flows spontaneously
from a hotter to a colder body, but never in the opposite direction. And very soon after
that he started developing this atomistic explanation
of the laws of thermodynamics,
which were that it's just a measure of how
the particles are moving around
that creates the impression of heat.
And then Maxwell, the great Maxwell,
who developed the theory of electromagnetism,
he came in and
he then found the expression for how the velocities change.
So, Clausius had originally just assumed that they all have the same velocity, but Maxwell
saw no, that can't be right.
Some must be moving faster than others.
And then he proposed an expression which is called the Maxwellian thermal distribution,
the expression for that.
And then the numbers that have the different velocities, the different speeds, that's then
associated with what then became called the entropy.
So entropy is a measure of how things are spread out and how they're distributed.
So the easiest way to think about entropy is actually not where there's motion,
where you've just got checkers on a checkerboard.
So eight by eight squares, and you've got a whole lot of checkers.
So you've got a thousand checkers.
So you could put all the checkers on one square.
Well, there's only 64 ways of putting all the checkers on one square, the 64 squares.
So there's 64 ways of doing that. But then the great insight that led to
the definition of entropy was by Boltzmann,
who said there are vastly more ways of
distributing the checkers by spreading
an amount uniformly on all the squares.
You get a huge increase more.
Then how entropy is defined is you then actually take
the logarithm of that number of ways that you could distribute them.
So the entropy will be minimal if you put all the checkers on one square,
and then it will go up to its maximum possible value if you
distribute them in the most uniform way that you possibly can.
And then this leads to the idea that entropy defines the direction of time because if you
had particles in a box and they all start off in one corner, that they're all moving
relative to each other, but they're off in one corner, that they're all moving relative to each other,
but they're all in one corner. So that means they've got a low entropy because they're not
uniformly distributed. And after a bit, they'll bump around and bump into each other. And then
they'll spread out and after a while they'll fill the whole box uniformly. So that was how
That was how the increase of entropy was explained. Then I can't remember whether,
I think it was Ludwig Boltzmann who first suggested that we get
our notion of the direction of time from the increase of entropy.
That was how the idea that entropy was very significant. It then turned out that a huge number of things
could be understood with this concept of entropy. But what is very significant and what then got
But what is very significant and what then got totally forgotten was this final state where everything is uniformly distributed relies upon the box.
If the box wasn't there, what would happen?
Now, this is all, I would say, intellectual inertia. So the laws of thermodynamics came out, were discovered,
all through an absolutely wonderful book that was
published in 1824 by the Frenchman Sadi Carnot.
And Carnot was interested in what's
the maximum efficiency that a steam engine can have.
And he didn't quite get it right, but he got very close to it.
But one thing that he did, so the key thing, well, first of all, if a steam engine is going
to run continuously, first of all, you heat up the steam from the furnace and you expand
the cylinder and that does some work, moves the steam engine forward.
But then you've got to get it back again for continuous operation.
And to get it back again, there's still some heat in there and you would have to exert
some work.
So you've got to cool down that steam to get it back to the starting position.
And that wastes some of the energy.
So this was the second, that's one of the formulations of the second law of thermodynamics.
Some of the energy, some of the heat is lost for continuous operation. That was a great insight
already of Sadiq Khan and then that was then formalized later on. But all of that still only works in a box. So then when you look at all these
wonderful papers by Clausius, then by Maxwell, then by Boltzmann, and later on by the American Gibbs, they're all using systems in the box.
And what is interesting is there's just one of them who really pointed out that his whole
theory based on probability, the probability of these distributions, he, this will fail if the system I'm talking about can expand into infinite space,
unlimited space. He puts that as a caveat. He also says there must be a restriction on what
the momenta can do. If the momenta can become infinite, my system won't work. But he doesn't
explore what happens if that's not the case. That's been virtually ignored.
I think, I haven't seen anybody
draw attention to that is really very important
before I did it myself about 10 years ago.
Now, that just makes you think.
When things are working very well,
because the value that came out of this
notion of entropy, it's just amazing. I mean the first quantum effects were discovered through the
study of entropy. Endless results in all sorts of technical fields.
Understanding communication, Shannon with the notion, Shannon entropy,
it's just incredible.
But all of them actually depend upon a cistern that is either in a box or it's bounded.
Also, it's when there's a finite number of possibilities.
For example, if you have a deck of cards with 52 in it, your chance of drawing the Ace of
Spades is 1 over 52.
But if there are infinitely many cards in a deck, your chance of getting a particular
card is zero.
This is essentially the simplest form of what Gibbs was saying.
My whole system will fail. So this is just
a good example of how science can go incredibly successfully for a long time without realizing
what's going, you know, the assumptions that are being made. Now, the great problem with entropy and the whole idea that it's what determines time,
the direction of time, is that you have to have some initial state.
So I talked about all those molecules being in one corner of the box.
How do they get there?
Now, this comes into what's called the past hypothesis. So this
already goes back to a debate with Bozeman in 1896. Was there a special initial? So the idea is,
if entropy is determining the direction of time, well, first of all, one immediate problem
is we couldn't be talking to each other if entropy hadn't already reached, entropy must
be way below any possible maximum it could have, otherwise we couldn't talk to each other.
It's obviously clear that the universe is not in maximal entropy, nowhere near, but if entropy is really
the fundamental quantity, then the only way that you can explain that you and I can still
talk to each other is that the universe must have started in an incredibly low entropy state, which cannot be explained on the basis
of the known laws of physics.
This is what Richard Feynman said about when was it 50 years ago or something, certainly
40, 50 years ago.
He said to understand why we haven't got maximal entropy now. The only way to explain that is to add to the known laws,
the assumption that in the past there was
a very special state of low entropy.
That's now been called the past hypothesis,
and people struggle to find out what it was like.
Well, I think this is my conjecture now is that is completely and utterly wrong.
It's because entropy does not apply to the universe.
It's just naive extrapolation from what is perfectly true in a box.
Now because all around us we can find ice, we can make ice in a refrigerator, we can put ice in a
corner of a box, and it will melt and then evaporate, and then you will get what's called
heat death. So already back in 1854, four years after the laws of thermodynamics were discovered,
Helmholtz in Germany talked about the heat death of the universe.
in Germany talked about the heat death of the universe. And all, everywhere, everything will be uniform,
and there will be no life heat death.
This has been a horrendous nightmare for the universe.
But it could be just a complete fundamental mistake in thinking that what happens in
a box is a true model of what happens in the whole universe.
This is what my book, The Janus Poet, is about in a paper that, with my two collaborators,
Tim Koslowski and Flavia McCarty, we published 11 years ago. It was in Physical Review Letters.
When you mention that physics happens in a box, are you referring to a closed system? Yes. Well, the danger with that word closed is are there in dynamics, people mean by that
that there are no forces acting on the system in addition to the system you're thinking
about.
They're not meaning by that whether it's in a box or not.
So a closed system normally just is assumption that,
say you've got 100 particles and
they've got forces that act on each other,
but there aren't other particles far away that are also exerting forces.
That word closed is a bit dangerous.
I would prefer to say confined,
if I want to to rather than closed.
The reason I was asking about that is that there are
studies in physics of open systems
and there have been for decades, no?
By open systems, what they mean is
systems that interact with a thermal bath.
bath. So basically what they, so you can have, you could have say particles kept within a membrane and but there are particles outside in what's called a thermal bath and so heat and energy can
pass between the exterior and that's what they mean by an open system. So I'm
meaning something quite different when I'm in the Newtonian n-body problem.
In the simplest case of three particles in Newtonian terms those three
particles if the energy and the angular momentum are exactly zero then what
always happens in
both directions of Newtonian time, you will always finish up with two particles going around each
other forming a clock, a rod, and a compass direction because of the way they behave,
and the third particle is going away in the other direction.
particle is going away in the other direction. And that system, the Newtonian size, grows to infinity. And that's what I call, that's not a confined system. That's the one where
we found an alternative arrow of time, which is nothing whatever to do with the entropy or the system in the box.
And it's precisely if we go back to page one, it's precisely that quantity on the expression
on page one that I call the variety.
So those are the A, B and C, those are the lengths of the sides of the triangle and that quantity is scale invariant.
But as the ratios of the sides change,
that increases that expression just if it's just the three,
you've got three particles and their separations
between the pairs are A, B, and C.
That quantity will start off, in fact I think it's one
over the square root of three when you do the calculation, that's the minimum
value it can have as an equilateral triangle and then as it gets more and
more pointed that quantity will increase not steadily but with fluctuations but
it will go on increasing
upwards. And that defines an hour of time. And I think that is much more likely to be what is
really determining the direction of time in the universe as a whole than anything to do with
entropy. And it's based on ratios. And this is, I mean, it was recognized, I mean, the
It's based on the shows. It was recognized.
I mean, the physical review letters, they sent it to five referees because we were saying
here we've got a major new thing, so they wanted to be sure they got it right.
They then decided on the basis of what the referee said, they gave it an acorn.
It's a sort of recognition as a special paper.
And then they also got quite a distinguished person
in quantum gravity to write comment on it.
So, you know, it was recognized as being definitely interesting.
Are these A, B, and Cs and Ds and so on,
are they allowed to be any real number?
Any real number greater than zero.
So you have continuity in that you have a real line?
Yes. So what I have,
so in my minimal ontology,
the minimum assumptions I make about
the universe is that there are points,
and you can say they're particles,
but they have zero size.
Very important in this is the particles have zero size.
That enables you to define scale invariance very precisely.
And then those ratios of the separations can change and they can go from the most uniform
distribution that can have, it's always a positive definite quantity, so it's positive
and it's always greater than zero. And the absolute minimum is very, very uniform, but except for three or four
particles where it's the equilateral triangle or the regular tetrahedron,
in nearly all cases, it's not exactly uniform.
And you can, you can see that it's in page three.
That's really what it's really like at its absolute minimum for 5,000 particles.
The one on the, it's an incredibly spherical ball and on the right it's an equatorial section
through.
But you see it's uniform but not exactly uniform.
Got it. through. But you see it's uniform but not exactly uniform. That's why structure forms totally
naturally in the Newtonian theory, in the Newtonian Big Bang. But they have such struggles with it in
cosmology because everything in general relativity is based on averaging things out and having continuous distributions of,
not of separations between particles, but continuous distributions of fields.
And that's where all the problem comes from in general relativity.
Is there a reason that you say that the size is zero instead of saying that the size is ill-defined or not unique?
Well, the size is in, if you imagine that there's a ruler outside the universe, then
you can say the size is zero.
That's where on page one, that's where the quantity under the square root can become
zero. I joke to my children, I say, when I'm buried on my gravestone,
it should be inscribed, nothing but ratios. It's amazing how that is forgotten.
Let me point out, it's forgotten by Einstein in his general theory of relativity because
the key quantities that define his theory are proper time and proper distance.
They are not ratios.
His theory does not rest on secure foundations. I'm not saying that it's,
but it needs certainly sorting out
the foundations of general relativity need to be properly clarified.
In fact, my collaborator, Tim Koslovsky, has gone a long way,
I think in really putting
general relativity in the shape it should be on much more secure foundations.
They don't rest on this imaginary rule of an imaginary clock outside the universe.
Okay. Let's talk about Newton. We'll get to Einstein.
In our last conversation, I recall you said something about how Newton's gravity was
inherently driving the universe towards states of increasing structural complexity and order.
That's right.
And you measured this with that scale invariant complexity, which I believe now is called
variety.
That's what I'm for.
That's because I'm now coming back to my think that that's the most well, first of all, complex
that we had, we were calling it complexity for a long time, but the problem with complexity,
everybody uses that word in many different senses,
and quite often it's not well-defined.
We at least had a very well-defined notion of complexity,
but I'm now calling it variety,
well, in a tribute to Leibniz,
because it was through Leibniz that I was thinking about.
Once I read Leibniz back in 1977,
I was looking out for a quantity
to characterize variety.
And then it was in 2011, I realized that it was actually the Newton gravitational potential
made scale invariant.
And this is actually so that second quantity on page one in the round brackets, if you change the sign of
that, that's the Newton gravitational potential made scale invariant by the quantity which
measures its size.
Now, I would say
the first, what ought to have been discovered as the first gauge field is actually what
my Italian collaborator Bruno Bartotti and I did in 1982 in our paper there.
That isn't a non-abelian gauge.
The simplest non-abelian gauge theory is the three-body problem.
That's because in rotations, when you have rotations,
they do not commute.
If you have one rotation A and another rotation B, the effect of A B doing A first and then
B is not the same as doing B first and then A, you get a different result. So that's an example of non-commutativity.
Non-commutativity is right at the heart of
quantum mechanics as it's formulated at the moment.
So what Bertotti and I showed in 1982 is that
the Newtonian n-body problem for arbitrary number of particles, three or more,
if the angular momentum is exactly zero,
that is technically a non-abelian gauge theory.
Well, wait, just because you have something that doesn't commute,
what makes it a non-abelian gauge theory?
It just makes it non-abelian.
Ah, because what really now you're getting into something that I call best matching,
which is what really is underlying gauge theory. So if I have two, I don't think I've got my triangles now with which I have.
But trusty diorama.
But if I have to, I'll have to, just imagine that my two hands are two triangles that are not the same size and not exactly the same shape.
But I put one on top of the other
and I rotate them around until I get
the difference to be absolutely minimum.
But I also divide by quantity so that I'm only talking about the shape.
So that's what I call best matching.
So if I don't worry about the overall size, but just the shape.
So if I leave the size as they are,
so I've got two triangles that are more or less the same size, but they're not exactly the same.
So I put one on top of the other and I give each vertex the name one, two, or three. I number them
one, two, or three. Then I put them in any position and then I will find that particle
one has moved a certain distance. So I take the mass of particle one and the distance is,
I've square that distance and multiply it by its mass.
I do the same for particle two and the same for particle three.
So then I've got a quantity which measures how they have not been brought to
perfect overlap or the closest overlap you can get.
But as I rotate one relative to the
other, that quantity is positive. There must come just one precise position where that quantity is
minimized. In that situation, I say the two triangles are best matched and the quantity
is the best matched thing. That is actually what is going on in all of gauge
theory in more complicated situations than just with triangles. That, by the way, is also what's
underlies what's going on in general relativity, but in a much more sophisticated form. It's really just best matching. As you go to the limit where the distance, it's all expressed
with what are called, what are they called? Li derivatives and things like that. But in its
absolutely simplest form, it is what I call best matching. That concept of best matching is now you can find it cited every now and then in the literature.
People are recognizing that that is what's going on.
It's again something that you can visualize very easily.
That's actually what is underlying gauge theory.
And the simplest example is just with a triangle with three particles.
And in that case, you get three particles whose angular momentum is exactly zero.
So that's the condition that comes out of a gauge, of a non-abelian gauge.
It's the simplest non-abelian gauge theory.
But all of the gauge theory is just that writ much larger.
So is general relativity in some of its key aspects.
I want to get to this whole quantum without quantum.
Because when people say something without something,
like John Vervecky is a philosopher, he says he wants a religion without religion.
I always wonder, like, what are you referring to?
Because if my wife asked me to clean up, I could say, yeah, no, I'm doing the dishes
without doing the dishes, so to justify that usage.
What is quantum without quantum?
What's being saved and what is the first
quantum referring to that's different than the second quantum?
What I'm suggesting is that the, all the evidence on which quantum mechanics is
based can in principle be explained in a completely different way without any
wave function and without
any Planck's constant. That is the, if you like, the outrageous claim I'm making.
What I certainly can do, I think I can make a pretty plausible case that there could be
a completely different explanation than going
on.
So let's go back to the evidence on which quantum mechanics was based and what the founding
fathers were trying to do from about 1925 through to about 1933 when the result was
there. So what they were trying to do, it was a huge role, was
explain the structure of photographs taken in the laboratory. They were photographs of
cloud chambers. It's a wonderful story of how the cloud chamber was invented by Wilson was the man who did
it.
And then he was trying to imitate, make clouds, things like clouds.
And that was a cloud chamber.
And suddenly he saw these curved tracks.
He saw these tracks in this thing when he, It was in the metastable state, and he did the thing which made it then form all these
vapor bubbles.
And suddenly in the vapor bubbles, he saw all these tracks.
That was the discovery of cosmic rays.
But then the great mystery that they were trying to understand when they were talking about the foundations of quantum
mechanics was to explain the structure of photographs taken in a laboratory.
And in fact, all of the evidence for quantum mechanics, so I did actually, I once did some practical work in astrophysics,
which was to measure the spectral lines in the spectrum of a variable star.
And what I was looking at through a microscope was,
it was a photographic emulsion, what I was looking at. As I went along, it was where there was a double,
where there were two spectral lines close to each other, a doublet.
As you went along,
it just got darker and darker,
and then there was a place where it was darkest.
That was the center of the spectral line.
Then it went down again,
and then it got darker again.
That was a photograph.
I was measuring the darkness in the photograph.
That then was expressed in terms,
that was the raw data.
I call that the raw data,
the evidence in the photographs.
But then that was then processed data became interpreted in terms of frequencies and wavelengths.
But when think about Newton, for example, when Newton saw the colors of the spectrum
on the wooden paneling in his room in Cambridge, the structure of the molecules in his retina were correlated with
very subtle changes in the chemical composition on the surface of the wood. That's what was there.
It was another, it was over a century before those, that was then formalized as wavelengths and frequencies.
So quantum mechanics in that form was based not on raw data, but on processed data.
As I like to say, processed food is not good for us. So I think processed data is bad for theorizing.
So the, now there's, there is a completely different explanation possible for those cloud chamber photographs that Wilson obtained.
Okay.
Suppose that at the instant at which that happens, some deity could take a snapshot
of the whole universe.
And that universe satisfies just one condition, that quantity that I call the variety has a particular value.
So suppose we have a universe with a trillion particles in it.
Now there's a huge number of shapes that will all have
the same value of the variety, that can all have the same value of the variety.
The deity takes snapshots of all of them, and then he looks carefully through all of
them. And then in one of them, he finds in a tiny part of it is exactly the laboratory where the
photograph is taken and the photograph itself, it's sitting there. And the explanation is just
determined by the statistics. we'll come onto this,
there are probabilities of shapes.
The explanation for why that photograph
is and the laboratory is in part of just one of
those shapes is statistical and
the fact that the variety has a particular value.
That is an explanation
in principle. Now, this brings in the difference between holism and reductionism. The whole
of physics, certainly since Newton, but before that has been reductionist. All of variety has been washed away.
Newton got rid of all the variety in his absolute space.
And so what was left for these, it's very interesting to read the 1927 Solvay Conference
when all the great founders of quantum mechanics got together and discussed its foundations.
They were all thinking in very reductionist terms.
The furthest they would think about things would be what could happen in a barotree.
They weren't thinking about what the effect of the whole universe might have. But that's very critical what the
effect of the whole universe could be.
Dyrack had his large number hypothesis.
Yes, but he didn't manage to go anywhere with it. But in fact, this is the sort of thing that
But in fact, this is the sort of thing that is coming out of these ideas that we're developing. So let's just look at the, let's look on page one on that extraordinary
rich filamentary structure there on the right.
What are we looking at exactly?
What was it that created these images?
That is just one.
It's a distribution of the particles that has a value of the variety, which is what
is said to be critical.
It's either a local minimum or a saddle.
So the value of it's a value of the variety which if you change
any of the particle separations by just a small amount,
the variety doesn't change.
That's a critical value.
That's the condition that has generated that thing.
Okay. Let me see if I got this correct.
So if we were to pick a variety number,
remember the equation is above,
let's say we picked variety 110.
So there are a variety of
different ABCs that you can put in there to get you the number 110.
Now, if you look at these different numbers, maybe there's, I don't know how many of them,
a trillion different numbers that can get you 110 depending on the amount of particles.
If you look at it from a God's eye point of view and you take all the snapshots of what
can be 110 and then you say, okay, if I was to vary this, would that change my variety by much?
Oh, this changes my variety a great deal.
Let me go to the next one.
And you keep doing that until you get to one that changes the variety the least.
You're looking at that right here?
Yes, that's going to be the complete, it's not just one part.
If you, so if in that one with all those filaments on the right, on page one, if you move any of the particles by a small amount, you won't change the variety.
It will say essentially exactly the same. All of them can be changed by a small amount without
changing the variety. That's what has generated that particular structure. And by the way, there's a huge number like that.
It's you know what factorial means. So essentially the number of ones like that is a thousand
times 999 times 900 all the way down to one. It's just an incredible number of them.
It's incredibly creative,
this quantitative variety.
But why don't we briefly turn over the page,
because it's quite striking.
So let's go to page two.
Before we move on to page two,
what was the point of showing this?
Like what were you trying to convey on page one?
Oh, yes.
That's it.
Yes, because there's a marvelous statistical act.
Do you see?
If you could look at it with a bit of a magnifying glass, but you can see it with the eye already,
all the smallest separations are almost identical.
You won't find anywhere
where two particles are really very much closer to each other than the others.
And that's exactly due to... that's because if you go up and look at the
expression for the variety, it's 1 over a plus 1 over b plus 1 over c. So if any of
those a, b or c goes to zero, then one over that quantity goes to infinity.
If you're fixing the value of the complexity, you can't do that because you'll overshoot.
The explanation, you will find it's incredible all of those smaller separations are incredibly nearly equal the smallest ones and that is a holistic explanation and by the way.
It does exactly what the power exclusion principle doesn't quantum mechanics.
the Pauli exclusion principle does in quantum mechanics. The reason, a friend of mine,
Harvey Brown makes this very clear.
If it wasn't in, according to quantum mechanics,
if it wasn't for the Pauli exclusion principle,
if I just put my two hands together like that,
there should be the effect of a hydrogen bomb going off.
But it doesn't. And that's because you can't, in terms of position, you can't get two particles getting
close to each other.
It stops them doing that.
But this is just, this is one of the reasons why I conjecture that there is no quantum
at all, because it's all just saying, if I specify just one value of the variety and I've got to go through all values of
if I'm going to start from the lowest value and then the variety go on up,
making, creating ever more different structures and we'll look at that in a moment, I've got to
fix each. So I call that actually the age of the shape.
So the age is zero when it's at absolute minimum,
and the age is slightly greater when it's above the minimum.
So the difference between the variety at the value you've got and the absolute minimum,
we call that the age of the shape.
That's my collaborator, Tim Koslovski and I.
If you think about it,
how do you recognize how old things are?
Well, just looking at you and me,
it's blindingly obvious I'm older than you.
But everywhere we look, we see with a glance, we can say some things are older
than others. There's a walnut tree out in front of the window where I'm looking at.
Well, if there was a small walnut tree next to it, it would be obvious which is the older one. And it's everywhere we look, but also in stars.
Some stars are much younger than others, and those are the ones where they've only got
hydrogen and helium in. But as they get older, there's more helium relative to hydrogen,
and then other nuclei come in as well. So everywhere in the universe we can see,
first of all, that the universe gets older and that's measured by its variety and then within
it there's lots of substructures which also have their own relative ages relative to the
whole of the universe. So this is a quite different concrete way of thinking about the universe
and getting rid of time and replacing it by age. I'm going to quote Shakespeare now because
I wrote an essay called The Nature of Time and in it I said that Shakespeare did not
attempt to say what time is, but what the effect of time is. And I
quote the start of his second sonnet, when forty winters shall besiege thy brow and dig
deep trenches in thy beauty's field. So the effect of time is to make the wrinkles in my face. That's the effect of time. That's the
measure of age. So reductionism. So Newton has got an awful lot to answer for. Newton said,
time flows equably without relation to anything external.
Well, I mean, he's just washed away all variety.
But the evidence for time is in structure.
Would this be a prediction against the heat death of the universe?
Oh, absolutely, yes.
No, but if I'm right,
it'll just go on getting more varied forever,
ever richer structure.
And it has been doing that up to now.
How do you do that without contradicting the second law?
That the second law applies to systems in a box.
If the universe is not in a box, all bets are off.
Now, if the universe is open open what is it open to?
Well first of all the in if you remember what I said it's got to be on my
gravestone nothing but ratios in if it but ratios. If it's a universe of three particles,
all it means is that one of
the separations can get
infinitesimally small compared with the distance.
So you've got two particles here and one out there.
Getting larger just means that the ratio of when you
divide the two long separ you divide the long,
the two long separations by the short one that just goes to infinity.
That's what an open universe is.
That is a universe that can go expand forever.
But it's a ratio, nothing but ratios.
Okay. So would you say the ratios are
what are fundamental or the particles that create the ratios?
It seems to me like the ratios are defined in terms of the particles.
Well, yeah, I would say you need both.
You need both.
I mean, you've got to have the particles.
And then what counts is the ratios of the separations between them.
My understanding is that you're using this to get certain features of physics
like the Born density or spin or fermions and poly exclusion as you mentioned.
It seems like a toy universe that you're just toying with.
Are you suggesting that this is what the universe is fundamentally?
If I'm right, that is what it is fundamentally.
In other words, it sounds like you're saying there is no box, there are no fields maybe,
there is no absolute space, there is no so and so, there is none of this.
There must be a yes somewhere, like some ontological fundamental quantity or object.
So what is fundamental in your theory?
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What is fundamental in your theory?
I cannot do my theory without assuming, I think they could just even be mathematical
points, you didn't call them particles.
They're points because they have zero size, but there are non-vanishing distances between
them, but the ones, it's not the distances.
The distances are so to speak there to enable you then to form ratios of distances.
The things that are really real ontological are the ratios of the distances between points.
That's my absolute minimum that I can do.
And I'm certain I can already build an extraordinarily interesting universe with just that and nothing
else.
But to really get all the effects of the different types of forces, I will need something, a
more generalized form of the variety, that one that is so simple there.
That's the simplest one you can possibly, but it's extraordinary how much
already comes out of that. And it's just, people just don't know about it.
What about the number of points?
Well, I've now got a way of doing that with infinitely many points. So an infinite Euclidean space with infinitely many points in,
and there are different ages of that universe.
At its age zero,
if you take any large region containing say,
a trillion particles,
the distribution will be very, very uniform.
A little bit later when the age is a bit greater and you take a large number,
it'll look like the one on the right.
But I tell you what, let's just briefly go on to page two,
because it's very interesting to see the effect of this.
A colleague of mine, Hermann Schkler, did this for me.
Sure.
This is 12 of these shapes of 100 particles each arranged in order of age.
Age zero is top left,
as you see very uniform.
Then the variety between the one top left and the next one along,
I've said that's the unit of age,
and then they're ordered in age.
Look how structure forms, very uniform.
Here you see, this is why I think we may have stumbled on the nature of creation.
Just look as that structure increases as you go from age zero
through to 4.6 bottom right. So you start getting these filaments and you notice the filaments all
have the smallest separations pretty much the same. Then at age 1.1, you've suddenly got something which looks like a pair of scissors. Two circles of a period.
And then look particularly, one that I really particularly like is Aids 3.2, bottom left.
There's two perfect filaments and then a near perfect circle.
And this is in two dimensions.
That's why the separations get slightly larger as you
go out to the edges.
That wouldn't happen in three dimensions.
You have filaments in three dimensions.
By the way, she's working on it now with a supercomputer in Lisbon, Maria Lorenzo, who
started working on these ideas.
She's doing a masters and she's actually,
she's already found a thousand particles in
three dimensions with lots of filaments and she's starting to analyze them now.
Something very interesting might come out of that.
That's in three dimensions.
These are some delightful photos or mock-ups or what have you. interesting might come out of that. That's in three dimensions.
These are some delightful photos or mock-ups or what have you. What is it supposed to be?
Are you supposed to be showing this is galactic formation? This is how life emerges? This
is what's going on in your brain? Like what are we supposed to infer from this? Well, I would say it's paradigmatic of all of those.
I would say the, what is the most fundamental aspect
of our existence?
It's the huge range of shapes of things
that we see around us.
If you go back to the ancient atomists,
I got halfway through it. It's a long poem by Lucretius on the nature of things, de rerum naturae,
150 BC or something. I think he wrote it around then.
You see, what he was really interested in was the explanation of the shapes of things.
And to explain that you have all these remarkable shapes, I mean children look like their parents,
all oak trees have the same sort of structure and things like that.
And to explain that he introduces atoms, he calls them primordial seeds,
which have shapes and different sizes.
Each macroscopic thing he wants to explain,
he invokes a new primordial seed with
the appropriate shape and size to explain it.
But this just shows early on what really
fascinated people was the different shapes you see around us.
So if you think about it,
that is actually the most fundamental feature
of our experience, the huge variety of shapes.
I mean, if people are watching this
and can see both of us at once when it's shown,
they'll just see that you look pretty different from me.
You've still got a good head of hair and so forth.
But I mean, just look,
going around at the different amount of structure that there is,
that is what should be explained.
But what we've stumbled on is
a holistic way of explaining shapes.
You see it and it's all done with this one quantity.
The simplest form of variety already does extraordinarily well.
As you see it going through this 12 ages,
not 12 ages of man,
but 12 possible shapes of
100 particle universe in two dimensions.
And already there it's pretty interesting.
Look at it.
And each one of those, at each age there's this vast numbers that have the same sort
of age, but very different structure.
And what would you say to someone who says if this is the case that we're just increasing
in variety and life is evidence of this variety or life should emerge then why is life only
on earth?
Why don't we observe much more of an abundance of life?
Wouldn't this predict that life should be far more abundant than observed? I don't think Maria in Lisbon is going to be able to do
the numerical calculations that would show this.
But what one can anticipate,
at the moment, the only calculations that have so far been done show what the variety is like
very close to its absolute minimum. I would think that if the variety gets much larger,
what will happen? Well, it's intuitively clear it will. You will form lots of clumps,
you will form lots of clumps, lots of clumps of things. It will be like the first stars forming. We know that within the stars there are hydrogen and helium nuclei. These are pretty well the
simplest structures you can have. I would think that when the variety has really got a large
value, what you will find typically is things that look like stars, and then the stars will gather
together in what look like galaxies. And within the stars, you will just have very simple structures.
What are molecules?
If you just think about,
do you remember these dumbbell images you have of
molecules with connecting things like that?
Those are basically relatively simple shapes.
Each of those considered by themselves
will have a low value of their variety.
So a star will basically is
nuclear of various structural complexity.
So there won't be any really individual rich structures within a star. It'll just be full of
lots of things that look much the same and quite interesting structures. Now the only place where
in the solar system where we know there is interesting life is on the surface of the Earth.
I think you could show that these ideas will predict that very special complex structures
will only emerge in very special places.
I mean, within the solar system,
there's a lot of speculation that there could be life of
some form in the satellites of Saturn and
Jupiter in the liquid in those seas.
Whether they would be talking to each other like you and me is another
matter. I mean, one rather doubts that. I think the widespread view is that very basic forms of
life are likely to form. After all, we know on the Earth that very simple unicellular life developed extremely
soon but then it was a long, long time before it became multicellular and really interesting
structures appeared.
So my guess is that it will be a statistical question and depend upon the value of the
variety, the age, the age defined by something analogous to what I call the variety.
But there will be sophisticated structures appearing. I mean, if we go back to page one, you can just see how extraordinary the structures are there.
Now, suppose you had a one-electron universe.
Do you imagine that there would be multiple points that comprise that universe?
Or would it just exist as well?
Well, first of all, I would-
Well, first of all, you've got to have three particles have an interesting shape.
Oh, no. What I meant to say is,
the electron, if you want to think of
the electron as the wave function of the electron,
like some people conflate the electron with its wave function.
But it doesn't matter. The point is that you have an electron, what we think of as a point particle.
Does that correspond to a point particle in your picture?
Or would an electron itself comprise 1000 different points, like it would correspond
to n equals 1000 here?
Oh, no, no, no.
I would certainly think of the electron as being just one point.
Okay. So then what gives rise to the probabilities,
like the born density if you don't have a wave function here?
Right. Well, let's go on over to,
let's now turn to page four.
This is where there are probabilities and
born densities with how they're being.
Interesting.
So you see, this is called the shape sphere.
This concept appeared in about 30 years ago.
It was formalized in Newton's theory of gravity for when there are three particles.
The shape of a triangle is defined by two numbers, two internal angles define the shape of a triangle.
So we've got this image here.
So because the surface of a sphere is two-dimensional
and two numbers define the shape of a triangle,
you can represent all possible shapes of triangles
by points on the surface of a sphere.
So that's shown here.
So the shapes that are mirror images are at the same longitude, but opposite latitudes.
So there's two equilateral triangles,
one at the top and one at the bottom,
the North Pole and the South Pole.
Then there are the degenerate triangles, which are really just on a line, that's three particles on the line, and that's the equator.
And there are six special points there, where they're all in a line and one particle is bang in the middle between the other two.
But then there are situations where two particles
are very close to each other and one is on the right. So that's where, I think you're seeing it
in color, aren't you, there? That's where two particles are very close to each other compared
with the distance to each other. And as they get very close to each other that's where the variety becomes
infinite, goes up to an infinitely high peak. And then the contours, the white
lines are contour values of the variety. So the variety has its absolute minimum
of the equilateral triangle and then it increases and it grows all the way up to infinity,
where two particles are,
that's where it gets deep red and the two particles are
very close, much closer to each other than the distance to the third.
Then there are three saddles where the value,
it's like when you go through a mountain pass.
Well, you can see that it's image,
the images in the contour lines that I've shown there.
Now, the key thing about this,
I was talking about best matching before.
That best matching defines a distance,
a uniquely defined distance between shapes.
It just relies upon points in Euclidean space.
So there is a well-defined distance on the surface of that sphere.
So the surface of the sphere, it's a pure number, it has the area 4 pi.
Now suppose you have a tiny little patch there on that sphere which
corresponds to possible shapes of the triangles which are, it's a set of
triangles which have nearly the same shape but they're, so they can be
represented as a little patch of a certain area. So let that little patch have the area A. So then the probability,
it's a probability measure or an existence measure if you like. So you divide A by 4 pi
and that tells you the probability that you will have shapes that satisfy the condition that they
lie in that point. And then very interestingly, as you go along one of those contours,
you can have the same condition.
You can say, I'm going to fix the value of the variety,
and then I'm going to say,
I'm going to mark out the stretches along that contour where no angle is greater than 90 degrees.
Then I've got the probability of finding,
what's the probability of finding triangles that have less than,
all their angles are less than 90 degrees.
That's mathematically uniquely defined,
just come straight out of Euclidean geometry.
If you say that the contour lines define time or age,
I would prefer to call it age,
that's analogous to the time in quantum mechanics.
It plays the role of time in quantum mechanics.
Then you've got probabilities for the shapes at that given time.
That is like a born density.
So there is a born density existing.
Shapes have a born density without any wave function and without any Planck's constant.
Okay, so I see how shapes can have a probability associated with them.
But to call them a Born density, you'd have to show some correspondence between that and
the Born density.
So have you been able to calculate that?
Well, not if I don't need to do it, because the only evidence that supports quantum mechanics
is the outcome of experiments.
You never, I mean, if you read Heisenberg
on interpreting quantum mechanics,
he says we can never know what the wave function is doing
or the particles that are being governed
by the wave function.
All we can see is the outcome of a measurement.
Right, yeah. articles that have been governed by the wave function, all we can see is the outcome of a measurement.
If we can reproduce all the results of the measurements in this way, that's all we need.
So all the evidence for quantum mechanics is in the Bohr density. The hard evidence. I mean, read John, there's a wonderful, the really wonderful paper by
John Bell called Quantum Mechanics for Cosmologists. And he just makes the point that, you know,
the evidence, I think he uses the expression, you know, you could say the evidence for quantum
mechanics is in a printout on paper.
All right. Let's go to the last page.
What are we looking at here?
Well, this is a very interesting thing.
So this is what I'm hoping the sort of study.
So this is intriguing structure that comes.
This is very typical.
This was made for me by Manuel Esquerdo, who was that Spanish student
who found the amazing filamentary structure that we were just looking at. And what it turns out,
you get these filaments and the filaments, because it's in two dimensions, the filaments,
the separations get larger as you
get to the edge of the disk overall.
You can see that clearly.
But what comes every time is that there's a hierarchy.
In the middle, I'm seeing it in black and white,
but I think it's in red, isn't it?
That's right.
The long filament,
the separations are the shortest ones there.
And then you'll see in different colors.
I got Manuel to color them according to the length of the separations.
And you see there's a hierarchy.
That comes in every single one that you generate.
There's a hierarchy of separations. Well,
that sort of smells a little bit of quantum mechanics. It's not understood. As of now,
I mean the experts in Newtonian gravity and I know, I think I can say I know the top five or six quite well.
They were very struck with that discovery that the Spanish Manuel made and there's no understanding
as yet exactly why these particular structures are forming, but it's very remarkable that they do form. This is a major discovery in Newton's theory of gravity, only four years old, centuries
after Newton formulated his theory.
Why do you get this hierarchy that's going up there?
I'm hoping that Maria in Lisbon and perhaps others can do further tests that will show what's the cause,
you know, provide an explanation for it, but it is quite strange.
So this again, you see, what should have happened would be to do, I would say this is where
you could sort of talk about consciousness, that if
I had asked Manuel to make the smallest separations with violet color, then next blue and go through
the spectrum where the shortest separations, which looks like shortest wavelengths, get
violet and then blue and go all the way through to red. So then the ones that are scattered around would be red.
Then I would say that consciousness is the great gift in that it is highlighting the structure.
First of all, there is a structure in the universe. The universe has a mathematical structure, but if it was just points with all the same color, so to speak, just black dots on
white paper, it wouldn't look nearly as interesting as this done with the colors there. I think consciousness does two things. First of all, it makes us aware of anything.
Without consciousness, we would know nothing. Secondly, it's picking out the details in a very
wonderful way. It's also making life very exciting because think about motion.
We just recently had the most famous racehorse in the world, the Grand National was run in
this country a week or two ago.
I mean, nothing is more exciting than the finish of a horse race and everybody gets
incredibly excited.
But maybe it's really all just photographs and then
consciousness is making it appear to us as
an incredibly exciting horse race.
I use the expression, the great gift of consciousness,
but at the same time,
deceiving us monumentally.
So I think that the challenge is to see how we can
explain everything with the absolute minimal ontology. I don't think we can go less than
points in Euclidean space, but I think virtually everything can be done with ratios
of things in Euclidean space.
You can have things that are analogous to ratios of charges.
I mean, we know that there are color charges and so forth.
So I think all of this could be built into, I mean, if these ideas catch on and people get going, lots of people will be exploring
with supercomputers what can be done.
Because the calculations, I mean, a colleague of mine pointed out, I said, well, maybe the
shapes of molecules will just come out.
Here I'm sticking my neck out.
I mean, I've said this to distinguished physicists
and they've just shaken their head in despair.
And Julian, he's crazy.
He's a nice chap, but he's crazy.
I mean, quantum mechanics just cannot be used
to calculate the shapes of carbon molecules,
anything that's a bit complicated.
All sorts of tricks have to be used to say what the shapes are going to be.
But the calculations that generate these shapes are really very simple by comparison.
They're not differential. They're not really.
They're very simple equations.
Okay. So let me see if I have a handle on this. So you have violet, you have indigo,
you have blue, green, yellow, orange, red. Okay. Let's look at this image. So the way
that the colors are determined is you look at a specific node here, so a specific circle, and you say, what is the distance to your closest neighbor?
Yeah.
And let's say its distance is on our screen 10 pixels,
then you give it red.
If it's 20 pixels, you give it orange and so on.
Okay. So you have some assignment like that.
Then are you saying that
consciousness is what takes this set,
like I mentioned, there's red,
green, green,
orange and so on, there's a set of colors here. Consciousness is what does the assignment
of the colors to the particles?
It assigns the colors in accordance with the separate, as the separations go up. And there
is this very striking fact that there is always a hierarchy of separations
in all of the ones that come out. And I'm saying that that is how color comes into our existence.
We can't explain why. I mean, I don't think it will ever be possible to explain
why anything exists, but what we can do is to describe it. Let me see if I can find it.
Oh, have I got this a nice this a I read a nice book on consciousness by Christoph Koch.
And he he says what is consciousness? He says it's experience what we experience. And then
he has a nice definition of experience. How can I find it?
Kurt here, several days later.
I received an email from Julian, which I'm going to read, Dear Kurt, I couldn't find
the passage in the book, The Feeling of Life Itself by Christoph.
Having said that consciousness is manifested to us as experience, he says that experience
has five distinct and undeniable properties.
Each one exists for itself, is structured, informative, integrated, and definite.
I liked that as soon as I read it, and it struck me that it bears a close resemblance
to my mathematical notion of shape.
I would say I would encourage everybody to think about what experience is like and whether, you see, it's not just that motion, all of things like
change. I mean, when we listen to music, the sound change, the quality of the sound is changing, the speed. All of that has profoundly influenced the way people trying to understand
the world have formed their concepts and maybe it's deceiving them.
Let me say another thing.
It's very extraordinary with Maxwell and the electromagnetic field. First of all, Newton himself was very worried by his theory of gravity because it seemed to allow instantaneous action at a
distance. He said himself that anyone who was
trained in philosophical thinking could do something unacceptable. I recently read a very
interesting book about the work of Faraday and Maxwell. Faraday did these incredible, marvelous work he did. And he
discovered various laws. And he, on a continental trip, he'd met Ampere in
Paris and they'd become good friends. And Ampere, using Newtonian type action at a
distance, had derived mathematical equations which explained all of Faraday's results.
Faraday had been hugely impressed. We all know the story of iron filings on a paper above a magnet,
and they make these patterns. That had led Faraday to think of, what did he call it,
said Faraday to think of, what did he call it, the electronic field or something. But anyway, he had the idea of lines of force.
And then Maxwell started giving that mathematical form.
And somewhere Maxwell says, Faraday's results can all be explained perfectly well by action
at a distance. But I do not like action at
a distance. So he introduces an electromagnetic field and an ether which can vibrate and fluctuate
and the energy is conserved. Now that's very much, if you think about it, how much
If you think about it, how much our conscious experience, Aristotle said that the force must act to keep anything moving because of friction.
If you stop pushing something, it comes to rest.
Then Newton managed to show that that was wrong with inertial motion.
Once something had got moving, he said in his absolute space, it would go on forever.
But to be changed, that required forces.
And those forces acted over instantaneously
over arbitrary distances.
And Newton hated that and Maxwell hated that.
And so they looked for a diff,
so he looked for a different explanation.
That's what led to the theory of the electromagnetic field.
Well that led to all sorts of problems within 25 years because of all the problems with
explaining black body radiation.
That led on to all the mysteries of quantum mechanics.
Now there's another thing. Before that in 1854, this was 20 years before Maxwell,
Riemann had developed the theory of arbitrarily curved spaces. That then became the theory of
general relativity. Now all mathematicians are perfectly happy with the idea of differently curved spaces.
I think that comes.
Do you talk about plasticine on the other side of the Atlantic?
This stuff that you hold with your hands.
Is it called plasticine?
Yeah.
So here, look at this creature here. This is from Beatrix Potter's Johnny Townmouse and Timmy Willey.
This is Johnny Townmouse that my wife made, molded it with Plastocene.
This is a shape.
You can make it like that. So I think this is why theoretical physicists are
perfectly happy with the idea of a curved space. So they it's all the things you can form with your hand with with
plasticine and that makes them perfectly happy with this thing. Now then the problem starts
arising which of all these possible spatial structures
is the one that's describing the universe?
Well, possibly you've just created a monumental problem,
and consciousness has misled you into doing that,
because you've got the idea.
What did Riemann do?
He had this idea completely against what Leibniz said.
Riemann, first of all, got rid of all variety in the world.
All he left was, so to speak, the shape of plasticine but without any markings on it at all.
Completely featureless, but shape without markings. And then he imagined coordinates on it,
like stars in the sky,
but not real stars like you do see in the sky,
but imagined.
Then if they're close to each other in
terms of infinitesimal distances,
then he imagined that you've got
Euclidean geometry holding locally.
Well, this was a huge achievement mathematically. It's phenomenal that then that
turned into geometry that can be dynamical in general relativity and seems to work very well.
But it may all be a colossal invention and all come because of our feeling that we can
hold plasticine or dough when I bake bread, so I make buns and I mold with my hands.
Maybe just that feeling that consciousness gives us that we can make things of different shape leads theoreticians to use these forms, but then creates all sorts
of problems for them.
I was talking to a collaborator about this and which shape of the universe are we going
to have? have. But Poincare, the great mathematician Poincare, he said, why don't we just stick
with Euclidean geometry? It is so simple because then he said the instruments, the measuring
things that we use to measure geometrical relationships, those are determined by the forces that are acting on
the particles in the substance in the thing.
The fact that I've got a ruler here,
that ruler has got the shape it has,
and it's nice and smooth because
of the forces that are holding it together.
Maybe geometry comes about, the actual geometry that we measure
and experience could be a combination of Euclidean geometry and then the forces that are acting.
Then in 1921, Einstein published a paper called Geometry and Experience. He gives a very nice description of Pongkire's theory,
and he says,
Sub spezie eterne, Pongkire is correct.
Basically, he's right, that is correct.
But then Einstein was so worried about quantum mechanics and what the real forces were, he says it's too
early for us to tell. But maybe Euclidean geometry is all we need. That's what Poincare conjectured.
And if you look at those extraordinary structures in those images I've shown,
and bear in mind that there are probabilities for shapes,
that the existence of something like a born density for shapes is rock solid mathematics.
I'm not understanding.
Are you suggesting that our insistence on locality over non-locality is the problem?
That we shouldn't be troubled with action at a distance?
I think so because you see what is regarded as the greatest, I think most people who think
about quantum mechanics would say the greatest mystery in quantum mechanics is that entanglement correlations
are set up instantaneously between points in space that are arbitrarily far apart.
And that's so when Schrodinger back in 1935 coined the expression entanglement in English,
there was a German word he'd used before, but he called it entanglement in English. There was a German word he'd used
before, but he called it entanglement in English. At the end of the second paper,
he talks about when these – he says it's very well confirmed in quantum mechanics in the
laboratory, but the speed of light is not coming into play. But he said, I'm not alone, that if these
entanglement correlations can be established effectively instantaneously, I will find that
repugnant like other people do. And this is the great mystery. But to confirm that these have been established later on,
there must be something like a photograph of a large enough area to
show the two places that are correlated altogether in a single photograph.
So the evidence ultimately is in a photograph, it's in a snapshot.
So if you can then explain why that snapshot exists, that there's a high probability for
that snapshot, which is a shape, then you've explained the things.
So nobody finds the existence. So all you take any separate you take n particles in Euclidean space there's
something like n squared divided by two separations ratios of separations between the two and they're
all correlated. There's colossal correlation between points in Euclidean space. Nobody, nobody thinks that's mysterious because they're so used to Euclidean space.
But maybe that's what's behind entanglement correlations.
Maybe that's what we call entanglement correlations are just reflections of those correlations.
It could be as simple as that.
It's a possibility.
I'm not saying it's right. Nothing is certain,
but I think it's a challenge.
It's keeping me happy in my old age.
How is it you're able to come up with so many ideas at 88?
Also stay excited about physics and math.
I guess just I'm a lucky person.
I went back right back in 1969.
I decided to go independent because I wanted to think
about time and motion and things, these fundamental things.
I did this incredibly boring job of translating
scientific Russian for 28 years.
Yes.
Good money earning, very stable, desperately boring.
But then six years in 1974,
I got my first paper.
It was in Nature, got pretty well received,
quite publicized by Nature.
That brought in my wonderful collaborator,
Bruno Bertotti in Italy.
We worked together for about six years.
Then I felt my pension fund was big enough in 1996, so I retired then.
Now 29 years, I've had all to myself and I've had some very, very good collaborators. I was very lucky to meet somebody called Jimmy York, who'd
done very important work on general relativity. He put me on to working with his first PhD student,
Neil and Muruchu, the Irishmen in court. Both of them sadly died recently, but I collaborated
with the Irishmen for about 10 years with
other students.
And then Tim Koslowski, who's now, I would say, my main collaborator, he's been working
with me on and off now since 2008.
I met him at the Perimeter Institute.
Things are just more and more things are coming. The real breakthrough came with this
alternative explanation of the arrow of time within Newtonian theory. But the fact that I
came up with that was reading Leibniz. It was 29 years from reading Leibniz to then finding the expression for the variety and finding
that it was already sitting inside Newton's theory of gravity. Then just more and more
ideas came. Tim Koslowski, the German collaborator, was very important. Because before Manuel had made that remarkable
discovery at the Observatory in Paris, I had been thinking that the smallest separations would be
why the electron doesn't fall to the nucleus in the atom, that would be the thing.
But when I discussed that with Timmy,
he said, no, no, you should think of it in terms of
the Pauli exclusion principle which applies to fermions,
which behave in a quite different way from bosons,
photons behave in a quite different way.
I'm now suspicious whether there are any photons at all,
but the fermions exist.
Hmm, interesting.
And that we have an explanation of why they can't all sit on top of each other.
It's just that at any given value of the complexity, because that expression,
go back and show the expression for the variety on page one, it's that second factor in the round
brackets where the separations one over A plus one over B. So if A goes to zero, that immediately
becomes infinite. So you just, it's incredibly, so I think this is the exponent, this could be,
if we're right, if Tim and I are right, this is the explanation for the
stability of matter. We are at a certain age of the universe, that is quite clear. I don't think
anybody would argue with that, the universe is a certain age. That means that it has a certain age. And that means that it has a certain value of its variety.
If you go far enough out, you will get a value of the variety because that's again, we haven't
even looked at the evidence for that.
But that's an actually, it might be just interesting to look at that.
That's page, I think that was page, was it page three?
Yes, let's look at page three.
We have looked at that.
That there's something incredibly special about the two factors that define the
variety and are in, in the Newtonian theory.
So the fact that you get this incredibly uniform ball of 5,000 particles and then on
the right that section through it, which is very, very uniform but not exactly uniform,
that's only possible in three dimensions where you're multiplying a potential which is 1 over r by a quantity which increases as r. So the thing that's under that square
root increases with the distances and the other one goes as inversely as the distance.
And that scale invariant quantity in three dimensions, this is related to Newton's potential theorem. Newton was very proud of this theorem,
which explains why celestial bodies which are not
rotating are perfectly spherical.
It's a unique property of three dimensions and
that particular combination one upon R multiplied by R,
making it scale invariant.
That's pretty impressive. That satisfies the
cosmological principle. The universe looks the same wherever you are. That's the holy grail of
cosmologists, but they struggle to get it. It's all done with this pretty strange theory of
inflation. Roger Penrose thinks inflation is just absolutely mad, crazy.
He can't believe it.
I just spoke to Neil Turok, who also is against inflation.
Yeah, there's quite a lot of people.
Yeah, Neil is, we were developing precisely the,
that was when Koslovsky and Flavio McCarty, my two main collaborators at the time,
were at perimeter when Neil was the director.
He heard me talk about it and he liked,
in fact, he has a paper out recently which
apparently cited our work or me, I forget exactly.
I think he may have cited the Janus point. But
that again, I would say maybe theoreticians are looking, you know, we have this expression
to look a gift horse in the mouth. Do you have that across the other side?
No, or maybe we do. I haven't heard it.
Well, it means if you're offered a horse for free, and then you say, I'm going to first
look and see if it's got good teeth, then that's thought to be pretty crazy.
So it's saying looking at a gift horse and asked to check the teeth.
But you know, I just think it's just possible that the whole story is
incredibly much simpler than anybody thinks.
As I was saying, because my wife was able to mold
the plasticine into the shape of Timmy Willey,
no, Johnny Townmouse, but
it was also Timmy Willey's up there too. This enables theoreticians to think that three-dimensional
space can come in all these incredible different possibilities. I mean, this was the Poincare conjecture, which wasn't it
the Russian who proved it eventually in three dimensions, the most difficult one. I mean,
this huge variety of shapes. And then which one is going to be realized in nature? Maybe
all of that's the wrong question instead of saying, what can we do with the simplest one of all?
And be suspicious about all the others because it's an experience which consciousness has
given.
Just because we can mold plasticine to any shape we like, doesn't mean to say that's
the way the universe is made.
Julian, I'd love to continue to speak with you.
I have so many questions, so we'll have to have a part three questions like
where does spin come from, which I'm sure you can get to next time.
And I know that scale invariance in three dimensions is broken in the
standard model because of masses.
So I want to know about how your theory accommodates masses as well.
You can feel free to comment on this shortly, but anyhow, I want to talk to you your theory accommodates masses as well. You can feel free to comment on this shortly.
But anyhow, I want to talk to you about so many more topics and questions.
It'll have to wait until next time.
If you want to comment on how masses come about, that's fine.
But if you want to save that until next time, and we use this as a teaser for
people to salivate at then, I would say let's stop now because.
There's so much work to be done. I would say all that is established so far is certain really big possibilities have been
opened up.
I think the possibility that there just is no quantum mechanics. It's just probabilities of shapes has been opened up as a
real possibility that consciousness has misled us into introducing many more complicated,
many more possibilities than need be. So that's created work for the theoreticians to see which
one might be realized when in fact the
simplest one would have been perfectly good all along. That's all I'll say at the moment.
I'm now 88. Whether I'll get much further we'll see. But if people start doing it,
it'll be very interesting to see what Maria in Lisbon finds with her analysis with the
supercomputer that she's working on now.
Maybe some striking things will come.
Maybe somebody watching this will come up with some idea.
I am getting approached.
Somebody from India I was talking to yesterday, he's decided to avoid going into academia,
avoid the publish or perish syndrome, and
he's now starting to study all these ideas and shape dynamics.
Maybe he'll come up with something.
I think it should be explored.
That's the challenge I put out.
Is the universe much, much simpler than people of thought.
But nevertheless, incredibly rich, thanks to consciousness.
Thank you.
Well, pleasure talking to you.
I've received several messages,
emails, and comments from professors saying that
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Much more being written there. This
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physics, philosophy and consciousness. What are your thoughts? While I remain impartial
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