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Sensible Quantum Mechanics: Are Only Perceptions Probabilistic?

量子物理 2008-02-03 v2 广义相对论与量子宇宙学 高能物理 - 理论

摘要

Quantum mechanics may be formulated as Sensible Quantum Mechanics (SQM) so that it contains nothing probabilistic, except, in a certain frequency sense, conscious perceptions. Sets of these perceptions can be deterministically realized with measures given by expectation values of positive-operator-valued awareness operators in a quantum state of the universe which never jumps or collapses. Ratios of the measures for these sets of perceptions can be interpreted as frequency-type probabilities for many actually existing sets rather than as propensities for potentialities to be actualized, so there is nothing indeterministic in SQM. These frequency-type probabilities generally cannot be given by the ordinary quantum "probabilities" for a single set of alternatives. Probabilism, or ascribing probabilities to unconscious aspects of the world, may be seen to be an aesthemamorphic myth. No fundamental correlation or equivalence is postulated between different perceptions (each being the entirety of a single conscious experience and thus not in direct contact with any other), so SQM, a variant of Everett's "many-worlds" framework, is a "many-perceptions" framework but not a "many-minds" framework. Different detailed SQM theories may be tested against experienced perceptions by the typicalities (defined herein) they predict for these perceptions. One may adopt the Conditional Aesthemic Principle: among the set of all conscious perceptions, our perceptions are likely to be typical. An experimental test is proposed to compare SQM with a variant, SQMn.

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引用

@article{arxiv.quant-ph/9506010,
  title  = {Sensible Quantum Mechanics: Are Only Perceptions Probabilistic?},
  author = {Don N. Page},
  journal= {arXiv preprint arXiv:quant-ph/9506010},
  year   = {2008}
}

备注

LaTeX, 72 pages, updated with references to Chalmer's The Conscious Mind, etc., and several new paragraphs added, including an experimental test