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The measurement in classical and quantum theory

Kryukov, Alexey (2023) The measurement in classical and quantum theory. Journal of Physics.


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The Bohigas-Giannoni-Schmit (BGS) conjecture states that the Hamiltonian of a microscopic analogue of a classical chaotic system can be modeled by a random matrix from a Gaussian ensemble. Here, this conjecture is considered in the context of a recently discovered geometric relationship between classical and quantum mechanics. Motivated by BGS, we conjecture that the Hamiltonian of a system whose classical counterpart performs a random walk can be modeled by a family of independent random matrices from the Gaussian unitary ensemble. By accepting this conjecture, we find a relationship between the process of observation in classical and quantum physics, derive irreversibility of observation and describe the boundary between the micro and macro worlds.

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Item Type: Published Article or Volume
Depositing User: Alexey Kryukov
Date Deposited: 15 Feb 2024 02:16
Last Modified: 15 Feb 2024 02:16
Item ID: 23083
Journal or Publication Title: Journal of Physics
Publisher: AIP
Official URL:
DOI or Unique Handle: J. Phys.: Conf. Ser. 2482 012025
Date: 2023

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