Quantum Measuring Systems: Considerations from the Holographic Principle

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Konishi Eiji

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Journal Paper

Paper Information

Journal: Journal of Holography Applications in Physics Year:2023 | Volume:3 | Issue:1 Page(s): 31-38

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Information Journal Paper

Title

Quantum Measuring Systems: Considerations from the Holographic Principle

Author(s)

Konishi Eiji | Issue Writer Certificate

Keywords

Quantum Measurement

von Neumann Entropy

Holographic Principle

Wick Rotation

Abstract

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.

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