Time separation as a hidden variable to the Copenhagen school of quantum mechanics

TL;DR

This paper explores the concept of time separation as a hidden variable in quantum mechanics, linking it to high-energy physics and quantum optics, and suggests it contributes to entropy and uncertainty in quantum states.

Contribution

It introduces the idea that time separation is a hidden variable in quantum mechanics, connecting it to Feynman's equations and two-mode squeezed states in quantum optics.

Findings

Time separation acts as a hidden variable in quantum systems.

Solutions to Feynman's equations depend on quark time separation.

Hidden time separation increases entropy and uncertainty.

Abstract

The Bohr radius is a space-like separation between the proton and electron in the hydrogen atom. According to the Copenhagen school of quantum mechanics, the proton is sitting in the absolute Lorentz frame. If this hydrogen atom is observed from a different Lorentz frame, there is a time-like separation linearly mixed with the Bohr radius. Indeed, the time-separation is one of the essential variables in high-energy hadronic physics where the hadron is a bound state of the quarks, while thoroughly hidden in the present form of quantum mechanics. It will be concluded that this variable is hidden in Feynman's rest of the universe. It is noted first that Feynman's Lorentz-invariant differential equation for the bound-state quarks has a set of solutions which describe all essential features of hadronic physics. These solutions explicitly depend on the time separation between the quarks. This set also forms the mathematical basis for two-mode squeezed states in quantum optics, where both photons are observable, but one of them can be treated a variable hidden in the rest of the universe. The physics of this two-mode state can then be translated into the time-separation variable in the quark model. As in the case of the un-observed photon, the hidden time-separation variable manifests itself as an increase in entropy and uncertainty.