Into the Impossible With Brian Keating - The Scientists Ep. 1: Flatland -- Einstein's Muse
Episode Date: May 8, 2025Welcome to a fascinating journey into the limits of imagination, geometry, and scientific discovery. In this premiere episode of "The Scientists," a new series on the Into The Impossible Podcast Netwo...rk, host Brian Keating—Chancellor’s Distinguished Professor of Physics at UC San Diego—dives deep into the curious world of "Flatland," Edwin Abbott Abbott's mind-bending Victorian novel. But this isn't just dusty literature; it's a geometric allegory that shaped some of the greatest scientific minds, including Albert Einstein himself. Alongside surprising social commentary and a critique of rigid hierarchies, Keating unpacks the power of imagination in science, showing how boundary-pushing thinkers moved from heresy to genius. Sit back as you journey through dimensions with Brian Keating—plus a special segment from science communicator Carl Sagan—inviting you to rethink your own perspective on the universe and the unseen realities that might lie just beyond. Ready to challenge what you believe about reality? Stay curious and let’s step into the impossible together. Please join my mailing list here 👉 https://briankeating.com/list to win a meteorite 💥 Key Takeaways: 00:00 "Exploring Flatland's Timeless Influence" 06:26 "Dimensional Perception in Flatland" 09:45 "Exploring Influential Scientific Books" 13:11 "Revolutionary Thinking and Scientific Rebels" 15:54 "Flatland's Influence on Einstein" 20:44 "Flatland: Three-Dimensional Encounter" 24:38 Understanding the Tesseract's Dimensions - Additional resources: ➡️ Follow me on your fav platforms: ✖️ Twitter: https://twitter.com/DrBrianKeating 🔔 YouTube: https://www.youtube.com/DrBrianKeating?sub_confirmation=1 📝 Join my mailing list: https://briankeating.com/list ✍️ Check out my blog: https://briankeating.com/cosmic-musings/ 🎙️ Follow my podcast: https://briankeating.com/podcast Learn more about your ad choices. Visit megaphone.fm/adchoices
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Welcome to The Scientists, a new podcast under the umbrella of the Into the Impossible Brain.
I'm your host, Brian Keating, the Chancellor's Distinguished Professor of Physics at UC San Diego.
And each week on the scientist, I dive into the life and legacy of a legendary scientist, an experimentalist, a theorist, an observer.
All of them, uncovering insights you can apply to your own work and your own worldview.
Science didn't appear fully formed.
It was built by real people, solving real problems under pressure with very human desires.
Their ideas still shape our future.
We'll examine not just what they discovered, what drove them to make those discoveries,
and most importantly of all, who they were, from their obsessions and honors to their most spectacular ideas,
their most brilliant blunders, and their most beautiful of all human flaws.
Imagine a world with no up.
No down. Just length and width. No height. A flat, silent plane where geometry is destiny.
And thinking in 3D is blasphemy.
Welcome to Flatland. It's not just a story of math. It's a Victorian epic era, a science fiction fantasy.
A red pill for physicists. It's the allegory that put the theory of geometric unification,
into string theory, seven decades before string theory was even a glimmer in its creator's eyes.
It's the mirror maze that Einstein stared deeply into, and today we're diving deep as deep as we can
into the flatland. But first, why would a novel written from 1884, written by a schoolmaster,
still blow physicist minds today? And why do I give it out to everyone who subscribes to my Monday Magic
mailing list on my website at brian keating.com slash list you'll actually get a copy of it email to you
Einstein didn't read flatland once he devoured it reading it again and again because it taught him
something that equations alone could not imagine being so trapped in your own world that the very
concept of up was heretical that was flatland it's a fictional universe where you the narrate
are a square, literally. Your name is a square. Society is geometry, and discovering an extra
dimension gets you locked away as a schizophrenic madman. But what if this weird little book
from 1984 wasn't just satire? What if it was a user manual for future physicists? Because
here's the truth. Einstein used it to teach relativity. Strength theorists use it to visualize
ten dimensions. And every physicist you've ever admired has that,
point pin a flatlander trying to escape from the plane.
Stay with me, because in the next few minutes, we're going to explore and unlock the
dimensional imagination that helps some of the greatest obsessive geniuses in history see
the shape of spacetime itself.
And the ending, well, it's not just about some square.
It's about you.
Part one.
The two-dimensional universe of obedience.
Okay, so this book is written by Edwin Abbott Abbott. Yes, they double down, they squared his name. He's an English theologian, a headmaster, and a polymath. In 1984, he wrote Flatland, subtitle of Romance of Many Dimensions. On the surface, it's a fable, a science fiction fantasy. A geometrical fable, but underneath, it's a mathematical rebellion, a sociological scalpel, and a physics prophecy. Here's the
premise. You are A square. That's your name. Capital S square. You live in flatland,
which is a two-dimensional world. You can't look up or down perpendicular to the plane of
existence. Those ideas, those dimensions to you and others do not exist. They're forbidden,
locked off permanently. All you know is forward, backward, left, and right.
to catch your social class is literally the number of sides your polygon shape possesses
squares have four triangles are of a lower class they're violent and dumb they only have three sides
they're soldiers squares that's you are part of the middle class the bourgeoisie if you will
pentagons hexagons and so on become leveling up level up their way to the
Oh, in circles with infinite number of signs, if you will, they're the high priest of society.
And women, they're not even two-dimensional.
They're lines infinitely thin, and to a square they're regarded as dangerous.
So they're kept away, locked in rooms, lest they might pierce the polygonal shapes of the men that drive society.
Now, Abbott was writing satire in the late 1800s, but he wasn't disguising it in metaphors.
He disguised it in a mathematical Euclidean metaphor so Victorian censors wouldn't ban him outright.
In Flatland, your shape is your destiny, and any deviation is treasonous.
Part 2. The Heresy of Height.
everything changes when one day, the square, is visited by a sphere.
What?
This globular blob arrives in flatland, not all at once, but in slices of perception.
First he appears as just a dot, then a glowing circle with no boundary in sight.
But then, as his midpoint, his equator, passes through the plane of flatland, he shrinks
smaller and smaller, circles diameter decreasing,
and shrinking until all of a sudden all at once, he's gone.
To the 2D beings of Flatland, it's supernatural, but it's not magic.
It's a result of dimensional ignorance,
and it might be something we too are guilty of
and our inability to grasp higher dimensional realities,
such as those presented by possible theories of everything like string theory.
So as Square, the narrator, wonders how can an object of being grow and shrink,
always remaining perfectly infinitely sided, and then disappear without moving?
The only way he can is realized is if he's not bound by your dimensions.
We'll be right back after this short break.
The sphere tries to explain these objects and the people and these inhabitants of Flatland have other properties.
They have a luminous, they have a luminousness, they have cognition, they dwell in houses, they consume, and they construct a civilization that knows no third dimension.
Now, the square.
That first can hardly process what he's seen.
He fights.
He refuses.
He goes through the stages of grief, but then eventually he believes.
But the problem is, he's alone.
Like Galileo before the Inquisition,
which happened to a mere 250 years before this book was written,
the square starts preaching the truth.
And like Galileo, he's silenced.
Flatland society isn't just blind to three dimensions.
It's hostile to it.
And of course, Flatland is leaving breadcrones, if you will,
a blueprint to understand relativity.
For us space landers, for us three-dimensional creatures, to appreciate and apprehend four dimensions,
we can benefit from the square's apprehension of three dimensions.
Einstein was born five years after Flatland was published.
But physicists for the next century would use Abbott's metaphor to describe four specific things.
Time is the fourth dimension.
curvature of that unified four-dimensional space-time,
later extra dimensions in string theory and fourth,
the multiverse so-called brains in the so-called M-theory or membrane theory.
Now, other books we're going to encounter in this series
that I've had the desire and passion and ability to read
over these four decades of my scientific upbringing
with the greatest minds and history of my teachers,
we'll talk about these ideas and how influential they were
to people like past guest Lisa Randall,
and past guest Brian Green.
Lisa wrote warped passages,
and Brian, of course, wrote The Elegant Universe,
one of the most popular books,
celebrating its 25th anniversary.
And even Carl Sagan's famous Apple demo on Cosmos.
We'll get to Carl Sagan's biography,
which is very contentiously,
written by Kay Davis about 25 years ago, soon after he passed.
It's not appreciated by the past guest on the show, Andrewan, or her daughter.
He's also a guest, Sasha Sagan.
We'll cover all those books in our Obsessive Mind series.
But we are just Flatlanders trying to understand a higher-dimensional reality.
It wasn't just for the square.
It's for us.
It's not a metaphor.
It's physics at its core.
The fourth part of this book is,
is the philosophy of dimensional ignorance.
Flatland is also an epistemological bomb.
How do we know what exists?
What are the limits of perception?
How do we distinguish delusion from higher dimensional truth?
Abbott Square didn't lack intelligence.
He lacked a conceptual vocabulary for up.
Just like today's humans, no matter how bright they are,
lack the conceptual vocabulary to describe five-dimensional string vibrations.
Or, as you'll encounter on my other channel, Professor Keating's experiments,
we're going to talk a lot about Chern-Simon's actions,
which are topological gadgets that link together geometry with property of
mathematics called holonomy and more.
And the best part is these are observables that have been witnessed and even for which have been awarded Nobel Prizes.
Can we imagine taste, the five different types of taste as a dimension, our senses as dimension?
Even consciousness could be type of dimension.
Philosophers sometimes call this a category error.
You're asking flat questions in a spherical reality.
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during times of high network usage. The fifth part of the book gets into the social dimension.
And there's obviously a subtext.
Flatland is a critique.
Flatland is also a critique of gender oppression.
It's a roast of the British class hierarchy
that extended to the subcontinent of India
and, of course, to Africa and other colonies.
But at its heart, it's a warning
about the intellectual elite, the orthodoxy.
We see that now in our academic institutions
that are being attacked from without and from within.
And I see that first-hand.
here, within the ivy-enscanced walls, actually the palm tree ensconced walls of the University
of California. Abbot saw how societies enforce dimensional conformity and what that represents
literally and metaphorically. Don't look up, don't think outside the box, stay in your plane,
not in your lane. So does that sound familiar? Every revolution begins with a shape shift, a change.
those that seem more than often are treated as criminals at first outcast, not as prophets.
From Galileo to Beir Rubin, every scientific rebel that will encounter, including my first guest, Freeman Dyson, was once considered was once a type of dimensional heretic.
So where are we still, us Flatlanders?
When physicists refuse to engage with philosophers, when string theory becomes dumb,
doctrine instead of conjecture, when academics build walls siloing themselves instead of bridges,
not only between themselves, but between the public at large who pay our salaries.
I gave this warning months ago in my Magic Monday mailing list that when we treated the public
as just a reliable source of income without giving back to them, without providing things
like this, I have to say, not tooting my own horn, but giving back at no profit to myself,
such that you, who pay my salary, can benefit from the discoveries that your hard-earned money
and tax dollars have enabled. Flatland was a warning, maybe gave me a glimpse,
but it's from more than a century before I actually read it. So the frontiers that we
always are seeking but never achieving in physics is not math, it's imagination.
So what is more real, what you can measure or what you can conceive?
The square saw a literal shadow of truth, and for that was exiled from his reality,
his domain, and his society.
But you, you have the sphere's story.
You see what squares and triangles could not.
But can you see beyond?
Beyond our three-dimensional existence?
What will you do to peer into a new reality?
Einstein once said,
imagination is more important than knowledge.
Knowledge is limited.
Imagination encircles the three-dimensional world.
I don't know about you, but if I'm going under the knife and surgery,
as I recently did, for a torn ligament in my meniscus.
and my knee, I certainly didn't want my surgeon to have all that much imagination and creativity.
I wanted him to have knowledge.
And he did, and I'm feeling much better.
But Einstein said this in part for poetic, with poetic license, but he also meant it.
Before the tensor calculus, before the field equations, before the contractions and dilations,
he asked a question that Abbott taught us how to ask.
What does the world look like from another dimension?
that's flatland
Einstein read it not to laugh
or poke fun at the Victorian mindset
of just a few decades before his birth
but to train his mind
to imagine motion as curvature
to imagine time as space
to see past what was visible
and create what was true
so let's tie the loop
Flatland isn't fiction
it's proto physics
it's what happens when you take curiosity
seriously and let it mutate
into genius. You clicked this episode because of Einstein, perhaps. So here's the payoff you've
been waiting for. Before he discovered space time, Einstein had to learn to see the world
like a square visited by a sphere. That's the lineage. That's the legacy. That's the inheritance.
And guess what? Now it's yours. This episode shifted your dimensional perspective.
even by a mere fractional dimension,
please share it with somebody
who still thinks in two dimensions.
Subscribe to the podcast
wherever you're listening
or watching the audio gram.
Leave a review, leave a comment,
and stay curious.
Next week, we're going to be looking
into some of the cosmologists
who studied the hidden matter
that matters lurking in the cosmos.
Until then, don't just look forward.
Don't look back.
Look up. It's your privilege. It's your right. And this is the scientists on the End of the Impossible podcast network.
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