On 21-06-2018 23:46, Brent Meeker wrote:
On 6/21/2018 6:33 AM, smitra wrote:
On 21-06-2018 05:01, Brent Meeker wrote:
On 6/20/2018 6:30 PM, smitra wrote:
On 19-06-2018 23:22, Brent Meeker wrote:
On 6/18/2018 6:03 PM, smitra wrote:
On 17-06-2018 22:42, Jason Resch wrote:
Hi Lawrence,

Is the evolution of states of the wave function computable? If so then
the result of MRDP implies it is Diophantine.

Jason

Or you could try to see if QM could be a meta-theory that arises when you try to give a statistical description of the set of all these Diophantine sets. I tried to do something similar with the set of algorithms a few years ago, getting a half-baked result, some hints at how quantum field theory could arise from this.

You want to compute the probability that an observer that's encoded by some mathematical structure has some given information content. So, if you observe the outcome of an experiment, that's information in your brain.

Which is the QBism interpretation of QM.  If you take the view that QM is about predicting and explaining what one will see, there's no point
in going further...the rest is metaphysics.

Brent


QM should then emerge as an effective theory and the correct interpretation should also follow.

?? QBism is an interpretation.

Brent

If we derive QM from a more fundamental principle then that is likely to single out one particular interpretation of QM as the correct one. So, which interpretation is correct is then no longer a philosophical or metaphysical question, it's something that can be probed experimentally by testing the underlying theory from which QM is derived.

So you're considering finding a more fundamental theory such that QM
will be a consequence or effective theory.   Of course that may
involve questions of interpretation of the more fundamental theory.

Brent

Yes, and there are good reasons to believe that even if the MWI is the correct interpretation that it is unlikely to be the last word. There is a problem with deriving the Born rule, also simply interpreting the meaning of probability from within the MWI is problematic. Also, if another sort of a multiverse exists besides the quantum multiverse, then in any physics experiment you're going to measure the totality of all the effects of all multiverses in which you have exact copies. The effects of these other multiverses e.g. as provided by inflation theory cannot necessarily be dismissed as trivial (e.g. by saying that it leads to uncertainty of the quantum state, the effects of which can be absorbed in a density matrix), as counting states with the restriction that the same observer is present per my argument in the previous posting, also leads to quantum-like laws.

Saibal

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