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Sensible Quantum Mechanics: Are Only Perceptions Probabilistic?
Don N. Page
abstract: 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.
- oai_identifier:
- oai:arXiv.org:quant-ph/9506010
- categories:
- quant-ph gr-qc hep-th
- comments:
- LaTeX, 72 pages, updated with references to Chalmer's The Conscious
Mind, etc., and several new paragraphs added, including an experimental test
- arxiv_id:
- quant-ph/9506010
- report_no:
- Alberta-Thy-05-95
- created:
- 1995-06-07
- updated:
- 1997-07-01
Full article ▸
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