Preprint
Article
Is Time a Cyclic Dimension? How to Second-Quantize Fields by Means of Periodic Boundary Conditions
Altmetrics
Downloads
107
Views
32
Comments
0
A peer-reviewed article of this preprint also exists.
This version is not peer-reviewed
Submitted:
23 April 2023
Posted:
25 April 2023
You are already at the latest version
Alerts
Abstract
With simple but rigorous arguments we prove that the ordinary second quantization of bosonic and fermionc fields is formally equivalent to constraining the elementary degrees of freedom of the classical fields to have intrinsically periodic dynamics in time. This result confirms and extends the formal equivalence obtained in previous papers for general Hamiltonian systems in terms of canonical quantization, for elementary relativistic particles also in terms of the Feynman Path Integrals, as well as other remarkable correspondences of both phenomenological and theoretical fundamental interest.
Keywords:
Subject: Physical Sciences - Theoretical Physics
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
MDPI Initiatives
Important Links
© 2024 MDPI (Basel, Switzerland) unless otherwise stated