ISSN 2181-0486 · EISSN 2181-0508 · DOI 10.9751/QGPHinfo@qgph.uz · qgph.uz
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Volume 6 · 2025 · 029

Time-symmetric relativistic and quantum theories. 2. Time-symmetric relativistic quantum mechanics

Abstract

The Zisman-Stueckelberg-Feynman interpretation describes antiparticles as negative-energy particles moving backward in ordinary time. Its consistent reconciliation with relativity leads to time-symmetric relativity and extends the symmetry to the full Lorentz group O(1,3), including four-inversion. On this basis the article formulates time-symmetric relativistic quantum mechanics, derives the general probability current and relativistic wave equations, and discusses causal propagators and gravitational self-regularization of loop diagrams at the Planck scale.

Keywords: negative-energy particles, antiparticles, time reversal, four-inversion, full Lorentz group, Klein-Gordon equation, Dirac equation