Father time. II. A physical basis behind Feynman's idea of antiparticles moving backward in time, and an extension of the CPT theorem to include non-local gauge fields
T K Rai Dastidar, Krishna Rai Dastidar (Indian Association for the, Cultivation of Science, Calcutta, India)

TL;DR
This paper explores the physical basis for antiparticles moving backward in time, extending the CPT theorem to include non-local gauge fields, based on the fundamental arrow of time at the atomic level.
Contribution
It provides a novel theoretical framework linking the arrow of time to antiparticle behavior and extends the CPT theorem to non-local gauge fields.
Findings
Particles and antiparticles move in opposite time directions.
The CPT theorem can be extended to non-local gauge fields.
A non-thermodynamic arrow of time is fundamental for energy conservation.
Abstract
It has been demonstrated in a recent paper (Mod.Phys.Lett. A13, 1265 (1998); hep-th/9902020) that the existence of a non-thermodynamic arrow of time at the atomic level is a fundamental requirement for conservation of energy in matter-radiation interaction. Since the universe consists of two things only --- energy and massive matter --- we argue that as a consequence of this earlier result, particles and antiparticles must necessarily move in opposite directions in time. Our result further indicates that the CPT theorem can be extended to cover non-local gauge fields.
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