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Non-Linear Equation of Motion for Page-Wootters Mechanism with Interaction and Quasi-Ideal Clocks

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Autor(es):
Mendes, Leandro R. S. ; Brito, Frederico ; Soares-Pinto, Diogo O.
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: UNIVERSE; v. 11, n. 9, p. 15-pg., 2025-09-10.
Resumo

We explore a timeless approach to quantum theory, in the form of the Page-Wootters mechanism, in which a gravitational interaction is introduced between the system and a finite-dimensional clock. The clock model used is the recently proposed quasi-ideal clock, a construction that can approximate the time-energy canonical commutation relation. We derive equations of motion for the case in which the system is in a pure and mixed state, obtaining a Schr & ouml;dinger-like equation that leads to a non-linear equation exhibiting decoherence due to the non-ideal nature of the clock and gravitational coupling. A distinctive feature of this equation is that it exhibits dependence on the system's initial conditions. (AU)

Processo FAPESP: 17/03727-0 - Características quânticas de sistemas compostos: geometria, dinâmica e termodinâmica
Beneficiário:Diogo de Oliveira Soares Pinto
Modalidade de apoio: Auxílio à Pesquisa - Regular