Hi Doug
I'm going to check out "Zen and the Art of Motorcycle Maintenance" pronto. A hell of a title too: no wonder everyone is talking about it, and I am beating myself for not even browsing through it. And how can I call myself a book lover straight face after this admission?
Yes, I have seen in the physics literature a statement saying "hbar" is zero in the classical limit. In my thought experiment, I have assume that as long as the universe is filled with light, the "hbar" or the Planck constant can never approach zero. It is a constant after all, not a variable.
Didn't physics say in SR (special relativity) the velocity of light is constant in all inertial (uniformly moving?) frames of references? And if the universe is filled with light, where can Planck constant go to be zero? Into the black hole? I have read that eminent physicists like Hawking and Susskind are on the opposite sides of the issue concerning black hole and radiation.
I am confused, and when I do, I go back to my instincts, and trust my intuition, buttressed sometimes by a little thought experiment when I can think of one.
I imagine a slightly different thought-experiment to clear my heads of all this accumulated and second-hand knowledge.
I start with myself: with my biology teacher's tale of my father's sperm entering my mother's egg, and dividing it and dividing it until a little me was formed. Sound wonderful, and I'm here in this universe filled with lights, or photons as physicists are wont to say. since I am grown up, I want a simpler story.
And I imagine a circle, and then begin cutting it into two parts that are exactly, absolutely, and precisely alike. I can't do it however much I try. A circle remains a circle, exactly, absolutely, and precisely the same. To get what I want - i.e. the two parts that are practically similar -- I have to abandon the absolutist position and accept the inevitable difference of one Planck constant obtaining between the pair.
When we do that, we get a circle consisting of the two halfs that are slightly different from each other. As time goes on, with further divisions of parts that are in relative positions to each other, the definitions (individuality) begin to emerge. We label what emerges under different labels: some (like cognitivist Hofstadter and philosopher Dennett call it "I", physicists call it "clasicality," and I call it "consciousness," the theoretical minimum required for discriminations and identifications between parts that are whole at the beginnings.
I am not familiar with cosmology and black hole physics, but your use of the word "self-similarity" at the beginning of your essay intrigues me. I hope I can return it in the time remaining.
Just out of curiosity, is this game a Survivor games-like or a Hunger-games like? (My ratings are in the cellar, and going up and down like a yo-yo!)
Cheers and Best of Luck
Than