On the emergence of classical stochasticity

• URL: http://arxiv.org/abs/2602.04633v1
• Date: Wed, 04 Feb 2026 15:04:11 GMT
• Title: On the emergence of classical stochasticity
• Authors: Xuan Du Trinh, Ismaël Septembre, Hai-Chau Nguyen,
• Abstract summary: We examine the logical structure of the emergence of classicality for a quantum system governed by a Pauli-type master equation.<n>We show that this assumption is crucial for the standard calculation of intermediate times such as the persistent time and the time of first arrivals.<n>We then consider examples of single particles, bosons, and fermions in the so-called ultradecoherence limit to illustrate how classicality may emerge from quantum mechanics.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We examine the logical structure of the emergence of classical stochasticity for a quantum system governed by a Pauli-type master equation. It is well-known that while such equations describe the evolution of probabilities, they do not automatically justify classical reasoning based on the assumption that the system exists in a definite state at intermediate times. On the other hand, we show that this assumption is crucial for the standard calculation of stochastic times such as the persistent time and the time of first arrivals. We then consider examples of single particles, bosons, and fermions in the so-called ultradecoherence limit to illustrate how classical stochasticity may emerge from quantum mechanics.

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