A humble investigation into whether the universe is trolling us with equations that don’t like to be solved.

They say you can’t solve the 3-body problem.
They also say you can’t solve the Navier-Stokes equation.
And for a very long time, they said you couldn’t solve Fermat’s Last Theorem either—until some genius in a sweater vest went and ruined the suspense.

Now, a lesser person would let these things be.
But not us.
We, the people who failed Class XI math with an honorable 63%, demand to know:
Are these three cosmic riddles somehow related?
Could the Navier-Stokes equation be the grumpy uncle of the 3-body problem?
Is Fermat’s Last Theorem secretly watching all this from a corner, holding a margarita and laughing at the chaos?

Let’s begin.

1. The 3-Body Problem: When Gravity Throws a Party

Here’s the gist:
If you have two bodies in space—say, the Earth and the Sun—classical mechanics can predict how they’ll dance around each other with neat elliptical grace.
But add a third body—say, the Moon or your girlfriend’s boy-bestie—and the math breaks down. No neat answers. Just chaos, sensitive dependence, and what physicists lovingly call “non-integrable equations.”

It’s the cosmic version of group travel. Works fine with two. Becomes impossible with three.

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2. Navier-Stokes: When Fluids Feel Complicated

The Navier-Stokes equation is a set of differential equations that try to describe how fluids move. Water, air, plasma, political opinions—anything that flows.

But here’s the kicker:
We don’t actually know if smooth, unique solutions to Navier-Stokes even exist in three dimensions. It’s like asking your plumber if the pipe will leak and being told: “Maybe. Maybe not. No one knows. Would you like a Fields Medal instead of a guarantee?”

You’d think we could just plug it into a computer and wait. But no. Even the world’s fastest machines have politely given up and gone to simulate cats instead.

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3. Fermat’s Last Theorem: The Introvert Who Was Right All Along

Ah, Fermat.
Our French friend who once scribbled in the margins of a book that no three positive integers a, b, and c can satisfy the equation:
aⁿ + bⁿ = cⁿ for n > 2.

He claimed to have a “marvellous proof,” which he never wrote down—classic professor energy.

And for three and a half centuries, nobody could prove or disprove that cheeky line, until Andrew Wiles, powered by coffee and Cambridge angst, built an entire skyscraper of algebraic geometry to finally say: “Yep. The guy was right.”

So… Are They Related?

Now, let’s address the full conspiracy:
Is the 3-body problem a subset of Navier-Stokes, and are both secretly boundary conditions for Fermat’s Last Theorem?

Answer: No.
But also—what a beautiful question.

Let’s unpack.

• 3-body problem: concerns gravitational motion and Newtonian mechanics—hardcore celestial geometry.
• Navier-Stokes: describes fluid dynamics—not orbits, but flows, turbulence, and angry kitchen sinks.
• Fermat’s Last Theorem: is a number theory problem, living in the abstract heavens of algebra and elliptic curves.

They don’t connect mathematically, unless you’re having a fever dream on a Sunday afternoon with a blackboard, a bottle of absinthe, and Brian Greene’s voice in your head.

But—they all share a personality.

They’re the unsolved/unruly children of mathematics. The ones that mock us. That say: “You invented us, and yet we remain your masters.”

And in that sense, they are deeply related—by mood, by temperament, by their commitment to making mathematicians age faster.

A Brief Philosophical Interlude (Because We Can)

Maybe we ask if they’re connected because we want the universe to rhyme. To hum one coherent melody, even if the verses sound different.

We want chaos, fluidity, and pure number to not be separate songs—but movements in a cosmic symphony.
One where Pythagoras, Newton, Navier, and Adele all take turns conducting.

And so we ask if the 3-body problem affects fluid dynamics, or whether fluid equations whisper secrets to number theory.

The math says no.
But the poetry?
The poetry winks.

Conclusion: It’s All Just Vibes

To answer this question, dear reader:
No, the 3-body problem is not a boundary condition of Navier-Stokes.
No, neither of them is the appendix to Fermat’s Last Theorem.
But all three are the kinds of problems that remind us we’re not in control.

That beneath our clean whiteboards and organized thoughts, the universe keeps a little chaos, a little turbulence, and a scribbled marginal note that says:

“I have discovered a truly marvelous proof of this, but this blog is too short to contain it.”