Self-adjoint time operator of a quantum field

Author:

Yau Hou Y.1

Affiliation:

1. FDNL Research, 91 Park Manor Drive, Daly City, California, USA

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 Schrödinger 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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 4 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. The Adjoint Operator of the Product ofTwo Unbounded Linear Operators;Advances in Applied Mathematics;2024

2. Time dispersion in quantum electrodynamics;Journal of Physics: Conference Series;2023-05-01

3. Proper time operator and its uncertainty relation;Journal of Physics Communications;2021-10-01

4. Thermodynamic origin of quantum time–energy uncertainty relation;Journal of Statistical Mechanics: Theory and Experiment;2021-09-01

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