The measurement in classical and quantum theory

• URL: http://arxiv.org/abs/2201.10344v2
• Date: Mon, 12 Feb 2024 21:17:43 GMT
• Title: The measurement in classical and quantum theory
• Authors: Alexey A. Kryukov
• Abstract summary: Bohigas-Giannoni-Schmit 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. 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.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: 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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