Quantum Measuring Systems: Considerations from the Holographic Principle

Konishi, Eiji

doi:10.22128/jhap.2023.652.1039

	Quantum Measuring Systems: Considerations from the Holographic Principle
Journal of Holography Applications in Physics
دوره 3، شماره 1، خرداد 2023، صفحه 31-38 اصل مقاله (271.5 K)
نوع مقاله: Regular article
شناسه دیجیتال (DOI): 10.22128/jhap.2023.652.1039
نویسنده
Eiji Konishi^*
Graduate School of Human and Environmental Studies, Kyoto University
چکیده
In quantum mechanics without application of any superselection rule to the set of the observables, a closed quantum system temporally evolves unitarily, and this Lorentzian regime is characterized by von Neumann entropy of exactly zero. In the holographic theory in the classicalized ground state, we argue that the unitary real-time evolution of a non-relativistic free particle with complex-valued quantum probability amplitude in this Lorentzian regime can be temporally analytically continued to an imaginary-time classical stochastic process with real-valued conditional probability density in the Euclidean regime, where the von Neumann entropy of the classicalized hologram and the information of a particle trajectory acquired by the classicalized hologram are positive valued. This argument could shed light on the Euclidean regime of the holographic Universe.
کلیدواژه‌ها
Quantum Measurement؛ von Neumann Entropy؛ Holographic Principle؛ Wick Rotation

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مراجع
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Quantum Measuring Systems: Considerations from the Holographic Principle

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