I'm sure the way of cellular automata in hyperbolic and Malament-Hogarth spaces (plus a few other doodads) is not free. Wait and see.
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Replying to @mcarberg
I don't think we can have hyperturing stuff. No Malament-Hogarth if I can help it.
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Replying to @Plinz
One of the properties of Malament-Hogarth spaces (and some types of hyperbolic spaces) is precisely the non-Turing computation.
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Replying to @mcarberg
that is why someone came up with them, no? but I currenty don't think that our universe has such a feature
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Replying to @Plinz
This is a priori rather unlikely, indeed. But in my opinion it's so elegant and aesthetic that I hope it captures a piece of reality.
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Replying to @mcarberg
It means that God has to buy a hypercomputer. I am unwilling to sell him one, unless you prove that I must.
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Replying to @Plinz
'God' is a word that has no meaning for me. Nevertheless, non-Turing computability is an outgrowth of turingian universes.
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It's only necessary to explain some epiphenomena whose status is still unclear today (things that you can't do in your standard...
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computer). Computable universes of which I speak can perfectly exist without. As much as they doesn't require continuity...
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(which is only an approximation of the discrete). The question is: are these epiphenomena necessary for viability of the universe?
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continua are not per se an approximation of discrete. a true continuum requires looping to infinity or worse
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