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

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Abstract

This paper introduces an exact correspondence between a general class of stochastic systems and quantum theory. This correspondence provides a new framework for using Hilbert-space methods to formulate highly generic, non-Markovian types of stochastic dynamics, with potential applications throughout the sciences. This paper also uses the correspondence in the other direction to reconstruct quantum theory from physical models that consist of trajectories in configuration spaces undergoing stochastic dynamics. The correspondence thereby yields a new formulation of quantum theory, alongside the Hilbert-space, path-integral formulations, and quasiprobability formulations. In addition, this reconstruction approach opens up new ways of understanding quantum 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. jacob_barandes@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:	04 Sep 2023 18:48
Last Modified:	04 Sep 2023 18:48
Item ID:	22501
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:	3 September 2023
URI:	https://philsci-archive.pitt.edu/id/eprint/22501

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)
    • The Stochastic-Quantum Correspondence. (deposited 04 Sep 2023 18:48) [Currently Displayed]

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