%0 Journal Article
%T Quantum Measuring Systems: Considerations from the Holographic Principle
%J Journal of Holography Applications in Physics
%I Damghan University Press
%Z 2783-4778
%A Konishi, Eiji
%D 2023
%\ 03/01/2023
%V 3
%N 1
%P 31-38
%! Quantum Measuring Systems: Considerations from the Holographic Principle
%K Quantum Measurement
%K von Neumann Entropy
%K Holographic Principle
%K Wick Rotation
%R 10.22128/jhap.2023.652.1039
%X 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.
%U https://jhap.du.ac.ir/article_308_1ab04706d47f86b909059b11862bad3b.pdf