It’s easy to see why fractals have been used to explain the complexity of human consciousness. Because they’re infinitely intricate, allowing complexity to emerge from simple repeated patterns, they could be the structures that support the mysterious depths of our minds.
But if this is the case, it could only be happening on the quantum level, with tiny particles moving in fractal patterns within the brain’s neurons. That’s why Penrose and Hameroff’s proposal is called a theory of “quantum consciousness”.
https://www.inverse.com/science/consciousness-and-quantum-physics
Quantum computers can only operate at extreme low temperatures (-272C, or -460F, which is basically colder than even the average temperature of outer space, so cold that we made up a new temperature scale called Kelvin to measure it — and no, the “Kelvin timeline” of Star Trek was not named after the temperature but after J J Abram’s grandfather).
So anyway, how is it possible that human consciousness can be considered “quantum” if we need (quite obviously) a much higher temperature to survive? (Making us controlled by classical physics and not quantum physics.)
Our brains are composed of cells called neurons, and their combined activity is believed to generate consciousness. Each neuron contains microtubules, which transport substances to different parts of the cell. The Penrose-Hameroff theory of quantum consciousness argues that microtubules are structured in a fractal pattern which would enable quantum processes to occur.
Scientists have measured electron wave functions (their quantum state) by injecting photons into two types of fractal structures, one triangular and one square-shaped (like the Sierpinski carpet pictured above). The next step would be to take quantum measurements from the brain’s microtubules.
Hmm. I think I’ve seen a shape similar to the Sierinski carpet somewhere before…
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