Topological photon, spin, and Euclidean group E(2)
S C Tiwari
TL;DR
This paper rigorously establishes a topological model for photons using vector field theory, exploring space-time holomorphy and topological obstructions, and discusses the Euclidean group's role in this framework.
Contribution
It provides a rigorous topological foundation for photon modeling independent of electromagnetic fields, emphasizing the role of space-time holomorphy and Euclidean symmetry.
Findings
Photon modeled as a topological vortex object.
Holomorphy of 4D space-time analyzed for photon structure.
Euclidean group E(2) utility discussed in photon model.
Abstract
The proposition that photon is a topological object (J. Math. Phys. 49, 032303, 2008) is given rigorous foundation based on pure vector field theory independent of the electromagnetic fields. Holomorphy of 4-dimensional space-time and the nature of topological obstructions are investigated to articulate singular vortex model for photon. The utility of the Euclidean symmetry group is discussed in detail for the proposed photon model.
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Taxonomy
TopicsExperimental and Theoretical Physics Studies · Noncommutative and Quantum Gravity Theories · Quantum and Classical Electrodynamics