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.
Konishi, E. (2023). Quantum Measuring Systems: Considerations from the Holographic Principle. Journal of Holography Applications in Physics, 3(1), 31-38. doi: 10.22128/jhap.2023.652.1039
MLA
Eiji Konishi. "Quantum Measuring Systems: Considerations from the Holographic Principle". Journal of Holography Applications in Physics, 3, 1, 2023, 31-38. doi: 10.22128/jhap.2023.652.1039
HARVARD
Konishi, E. (2023). 'Quantum Measuring Systems: Considerations from the Holographic Principle', Journal of Holography Applications in Physics, 3(1), pp. 31-38. doi: 10.22128/jhap.2023.652.1039
VANCOUVER
Konishi, E. Quantum Measuring Systems: Considerations from the Holographic Principle. Journal of Holography Applications in Physics, 2023; 3(1): 31-38. doi: 10.22128/jhap.2023.652.1039