Monkeys, UFOs, and Quantum Fractals: A Mind-Bending Journey through Relativity and Imagination

The Quantum Sky and UFOs: A Puzzling Connection

Picture this: the mathematical world of quantum fractals applies not just to abstract quantum state vectors, but also to something as vast and visible as the sky. Yes, the actual sky. Quantum mechanics and Special Relativity share a hidden bond, one that links the rotation of quantum spin states on the Bloch sphere to the way light behaves in the heavens. Mind-blowing, isn’t it?

While this might sound like a leap from the purely theoretical to the outlandish, it’s grounded in rigorous formalism. You can almost see it—those elusive patterns in the cosmos that bend both light and logic. Let me take you further down the rabbit hole with a thought experiment that will stretch your imagination.

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UFOs, Aberrations, and Lawrence Krauss

Let’s first rewind to a passage from Lawrence M. Krauss's Beyond Star Trek:

“The traditional notion has been that UFOs don’t behave like rockets or planes (this is, after all, what makes them UFOs)... turning at 90-degree angles on a dime."

It’s a tantalizing idea. UFOs not only defy gravity but also physics as we know it, performing maneuvers that mock conventional aerodynamics. And let’s take it a step further—not just 90 degrees, but any angle, at any speed. All with a flick of a switch.

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Enter: The Monkey Pilot

Now, here’s where things get surreal. Imagine a monkey at the controls of one of these UFOs. Yes, a monkey. This primate has a joystick with 24 different positions, each pre-programmed for a specific, instantaneous maneuver. Every flick of the joystick sends the UFO into a new rotation or sudden acceleration.

 This primate has a joystick with 24 different positions

But this isn’t just about the ship’s wild movements. The monkey is also tracking a distant star—say, Betelgeuse—on a hemispherical dome. Every time the joystick moves, the star appears to shift on the dome due to the UFO’s motion and the relativistic aberration of light. The monkey repeats this process a hundred thousand times—randomly, relentlessly.

And then something bizarre happens. A pattern begins to emerge on the dome, as if the universe is leaving behind a cryptic signature for the monkey to discover.

Fractal pattern created by the monkey

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Science Fiction Today, Reality Tomorrow?

Today, this scene feels perfect for a sci-fi blockbuster, an absurd twist of logic and physics. Krauss would tell you that such maneuvers are impossible with our current understanding of science and technology. And he’d be right.

But tomorrow? Who knows? Science has a way of catching up with the impossible. The boundaries of reality bend when human beings refuse to accept limitations. What is fiction today might become the next experiment tomorrow.

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Quantum Fractals: From Monads to the Sky

This entire thought experiment stems from the idea in my book Quantum Fractals.

 In it, I delve into "qubits," the elementary quantum systems that, like Leibniz’s monads or modern digital bits, form the foundation of everything. But if the micro reflects the macro, as many believe, should we be surprised that the smallest quantum fractals can echo into the vastness of the cosmos?

From the quantum to the celestial, the patterns are there, waiting to be discovered—or maybe even flown through by a monkey in a UFO.

Parabolic quantum fractal on the Bloch sphere

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What’s left is for us to stretch our minds beyond the confines of current knowledge. After all, as the saying goes: "As above, so below."