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Quantum mechanics as a generalized probability theory

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  • Icefield, William

Abstract

When quantum mechanics is understood as a new generalized theory of probability - to be called the quantum probability theory - mysteries and controversies regarding quantum mechanics are dissolved. In the classical probability theory, that a measurement of some system requires an additional measurement apparatus is of insignificant importance - in the quantum probability theory, this comes to change. For one central single reason around a particular classical probability equation, the generalized probability view has not gained much traction, despite the fact that this essentially echoes (and provides logical underpinnings of) the conventional wisdom that `quantum mechanics just works as it is.' A classical probability axiom is just an initial intuition - there is no reason why we have to dogmatically cling onto axioms that can clearly be generalized. Issues with the principle of indifference in the classical probability theory are emphasized, along with the quantum reconstruction project of deriving quantum mechanics from epistemic requirements and potential quantum gravity consequences from the principle of maximum entropy.

Suggested Citation

  • Icefield, William, 2020. "Quantum mechanics as a generalized probability theory," OSF Preprints ghkcr, Center for Open Science.
    • Handle: RePEc:osf:osfxxx:ghkcr
    DOI: 10.31219/osf.io/ghkcr
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