Barandes, Jacob A. (2023) The Stochastic-Quantum Correspondence. [Preprint]

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Abstract

This paper introduces a precise correspondence between the theory of stochastic processes and quantum theory. This correspondence provides a new framework for using Hilbert-space methods to formulate highly generic types of stochastic dynamics, with potential applications throughout the sciences. This paper also uses the correspondence in the other direction to reconstruct quantum theory in general from physical models that consist of classical kinematics combined with stochastic dynamics. This reconstruction approach opens up new ways of understanding quantum-theoretic phenomena like interference, decoherence, entanglement, noncommutative observables, and wave-function collapse.

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Item Type:	Preprint
Creators:	Creators Email ORCID Barandes, Jacob A. barandes@g.harvard.edu 0000-0002-3740-4418
Keywords:	quantum mechanics, quantum theory, stochastic processes, quantum foundations, philosophy of quantum mechanics, interpretations of quantum mechanics
Subjects:	General Issues > Determinism/Indeterminism General Issues > Laws of Nature Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Dr. Jacob Barandes
Date Deposited:	20 Feb 2023 14:29
Last Modified:	20 Feb 2023 14:29
Item ID:	21774
Subjects:	General Issues > Determinism/Indeterminism General Issues > Laws of Nature Specific Sciences > Physics Specific Sciences > Probability/Statistics Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Date:	19 February 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/21774

Available Versions of this Item

• The Stochastic-Quantum Correspondence. (deposited 19 Feb 2023 13:42)
  • The Stochastic-Quantum Correspondence. (deposited 20 Feb 2023 14:29) [Currently Displayed]
    • The Stochastic-Quantum Correspondence. (deposited 04 Sep 2023 18:48)

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