Did Laplace have the same complaint with his clockwork universe?So, according to the thermal QM, every event (including all this great discussion) was pre-programmed by the Big Bang's primordial fluctuations?
I go from finite to continuum in Step 3 of my instructions, in order to get more closely to something resembling the universe we live in. For simulation, you'd need to resolve space and time (at least near high resolution equipment) to very small scales, which brings a computer far beyond its limits, even being extremely generous with the future development of computer capacity.At my advanced years I am no longer able to grasp the detailed logic and implications of your essay. However, I get an impression that it provides a plausible conceptual model of a finite (but very large) computerized simulated universe in which all of the "reality" of our actual universe, including the minds of all sentient beings, are part of the simulation. I conclude that a finite computer is is sufficient because it only needs to include events of a finite universe for a finite time. The finite space of the universe is limited to a sphere large enough to include all observable universes of all the simulated sentient beings. The finite time includes that between an detailed initial condition at some time in the past and a time in the future when there are no longer any sentient beings.
Do you agree that this conclusion is consistent with the concepts in your essay?
In general, to store the detailed state of a system to be simulated needs equipment with much more degrees of freedom, so that as a matter of principle, within our universe, only a tiny and coarse-grained subsystem can be simulated.
Yes, since our universe is the only one we have reasonably reliable information about.I am guessing you are considering the simulation computer to be created by a future version of something like our human culture in our universe.
Well, one can only speculate about what kind of technology is available in another universe.I was assuming that this computer is created in another universe by other sentient beings (gods?), and with possibly much more ample supplies of other kinds of materials. Also, the time rate of similar activities in this other universe might be much faster or much slower than the time rate being simulated. Are these assumptions consistent or not with the assumptions of your essay. With these assumptions, would such a finite computer simulation of our extended observable universes (for all of the multiple sentient beings) be consistent with your assumptions?
But maybe consciousness is not preprogrammed and allows for some user decisions
Well, in the toy model described, there is the dynamics of the universe (the 3D tape) in the absence of the souls (the modifiers). In addition there is the dynamics of the soul-universe interaction (the Turing machine) which modifies the universe within the confines of the bodies of the souls, and the souls themselves. From the point of the world alone, these are nondeterministic decisions. From the point of view of the apprentice God, there are different ways of programming these interactions. The transition table of a Turing machine can be deterministic or not ; both variants are studied though the deterministic one is the far more common.Decisions with respect to what in a pre-programmed world?
Yes, since our universe is the only one we have reasonably reliable information about.
Well, one can only speculate about what kind of technology is available in another universe.
In another fantasy (unfortunately available in German only - perhaps someone here would like to translate it to English?) I described a dialogue between God and John von Neumann, where God talks about using machinery where already the addresses are (infinite byte) real numbers rather than 64 byte integers (and most likely computers are capable of an infinite number of Turing computations per unit time), thus leaving a host of possibilities theoretically explored in our universe under the name of hypercomputing. In such an environment, (my toy universe and) the universe we live in can be simulated in finite time, I guess. On the other hand, God describes Eternity (the name of this universe) to von Neumann as timeless, time itself being a simulation product. How to comprehend this is beyond my imagination.
You are analyzing a fantasy marked with ''mit einem Augenzwinkern betrachtet'' (viewed with tongue-in-cheek) as if it were a piece of science. Fantasies, like the contents of dreams, don't need to satisfy any scientific laws. I had cited it to give a concrete example howAs for even considering -god- even as a thought-experiment this is a total failure due to the fact of entropy.
one can only speculate about what kind of technology is available in another universe.