Rotations and e, $\nu$ Propagators, Part I

TL;DR

This paper explores how rotation symmetry can be used to construct the electron propagator and identify fundamental physical quantities, offering a new perspective on the role of rotation symmetry in quantum field theory.

Contribution

It introduces a method to derive the electron propagator from rotation symmetric projection operators, providing novel insights into the connection between rotation symmetry and particle properties.

Findings

Electron propagator can be constructed from rotation symmetric projection operators.

Rotation symmetry constrains the identification of time, space, and related quantities.

New perspective on the positron hypothesis based on rotation symmetry.

Abstract

Rotation symmetry is less constraining than space-time symmetry. The free electron propagator is a projection operator that we show can be constructed from rotation symmetric projection operators. Rotation-based identifications of time, space, energy, momentum, polarization matrices, and the positron hypothesis are determined by the constraints that turn rotation symmetric projection operators into the electron propagator. PACS: 11.30.-j, 11.30.Cp, and 03.65.Fd