2020/01/22 by Hou Y. Yau · 6 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Energy operator #Field (mathematics) #Noncommutative and Quantum Gravity Theories #Operator (biology) #Quantum #Quantum Mechanics and Non-Hermitian Physics #Scalar (mathematics) #Scalar field #Space time #Spacetime #Time evolution #physics.gen-ph
paper · pdf · open access · doi:10.1142/s0219749919410168
published in International Journal of Quantum Information 18(01), 1941016 (World Scientific) · 16 pages. Published version
openalex publication_date 2020/01/22 · openalex created_date 2020/01/30 · arxiv created 2021/10/29 · arxiv updated 2021/11/03 · openalex updated_date 2026/08/05
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.