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bokov comments on On Being Decoherent - Less Wrong
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My twin 10^29^29 ly away... if he picks up an astronomy atlas, will he find the exact same objects listed with the exact same coordinates digit for digit? That implies that space itself repeats, like tiles in a desktop pattern.
Is cyclicity a necessary consequence of filling an infinite space with things that can only have a finite number of configurations? If so, does that mean if I zoom in on a Mandelbrot set far enough I will see an exact replica of the image I started with and if I run a cellular automaton long enough I will get a regular pattern?
I can think of two answers that have fewer open ends, though I don't know if they are valid physics, i am sadly lacking in that area.
The bigger a spontaneous blob is the more stable it is. The only reason it should vanish into thermal noise once it comes into existence would be the same as would cause any other object to disintegrate. So, a spontaneous copy of me? Dead in seconds. Earth? All observers die in a day or so, rock stays around indefinitely. Galaxy? Cluster? Possibly pretty stable if nothing else is nearby.
If reality is a superposition of all waveforms, would that perhaps repeat at some very low frequency?