Heartspring, William (2019) Reformulation of quantum mechanics and strong complementarity from Bayesian inference requirements. [Preprint]

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Abstract

This paper provides an epistemic reformulation of quantum mechanics (QM) in terms of inference consistency requirements of objective Bayesianism, which include the principle of maximum entropy under physical constraints. Physical constraints themselves are understood in terms of consistency requirements. The by-product of this approach is that QM must additionally be understood as providing the theory of theories. Strong complementarity - that different observers may "live" in separate Hilbert spaces - follows as a consequence, which resolves the firewall paradox. Other clues pointing to this reformulation are analyzed. The reformulation, with the addition of novel transition probability arithmetic, resolves the measurement problem completely, thereby eliminating subjectivity of measurements from quantum mechanics. An illusion of collapse comes from Bayesian updates by observer's continuous outcome data. Dark matter and dark energy pop up directly as entropic tug-of-war in the reformulation.

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Item Type:	Preprint
Creators:	Creators Email ORCID Heartspring, William williamheartspring@gmail.com
Additional Information:	A minor change that a "proficient" reader can already infer. Better to write law of state evolution simply as Schrodinger equation and impose the "collapse" restriction on state vector than to write it as Sch[Up[state vector], which itself should be Schrodinger equation at the end. That is corrected. But otherwise, 15888 is basically the same as 15885.
Keywords:	objective Bayesianism, epistemic interpretations of quantum mechanics, principle of maximum entropy, strong complementarity, measurement problem, quantum foundation, basis ambiguity, black hole complementarity, Bayesian update, dark matter, dark energy, entropic gravity, quantum gravity
Subjects:	Specific Sciences > Physics > Quantum Gravity Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Depositing User:	William Heartspring
Date Deposited:	10 Apr 2019 04:03
Last Modified:	10 Apr 2019 04:03
Item ID:	15888
Subjects:	Specific Sciences > Physics > Quantum Gravity Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Statistical Mechanics/Thermodynamics
Date:	7 April 2019
URI:	https://philsci-archive.pitt.edu/id/eprint/15888

Available Versions of this Item

• Reformulation of quantum mechanics and strong complementarity from Bayesian inference requirements. (deposited 06 Apr 2019 00:50)
  • Reformulation of quantum mechanics and strong complementarity from Bayesian inference requirements. (deposited 08 Apr 2019 12:52)
    • Reformulation of quantum mechanics and strong complementarity from Bayesian inference requirements. (deposited 10 Apr 2019 04:03) [Currently Displayed]
      • Reformulation of quantum mechanics and strong complementarity from Bayesian inference requirements. (deposited 14 Apr 2019 00:34)
        • A Bayesian theory of quantum gravity without gravitons. (deposited 03 Jul 2019 13:13)

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