Self-Adjoint Time Operator of a Quantum Field
Abstract
We study the properties of a quantum field with time as a dynamical variable. Temporal vibrations are introduced to restore the symmetry between time and space in a matter field. The system with vibrations of matter in time and space obeys the Klein-Gordon equation and Schrodinger equation. The energy observed is quantized under the constraint that a particle's mass is on shell. This real scalar field has the same properties of a zero-spin bosonic field. Furthermore, the internal time of this system can be represented by a self-adjoint operator without contradicting the Pauli's theorem. Neutrino can be an interesting candidate for investigating the effects of these temporal and spatial vibrations because of its extremely light weight.
Cite
@article{arxiv.2111.01534,
title = {Self-Adjoint Time Operator of a Quantum Field},
author = {Hou Y. Yau},
journal= {arXiv preprint arXiv:2111.01534},
year = {2021}
}
Comments
16 pages. Published version