Propagating Topological Singularities in the lightcone: the Photon

At its foundations, Maxwell’s theory of Electrodynamics, like thermodynamics, is a topological theory independent from geometric constraints of metric, scales, or gauge symmetries. One of the most interesting features of Electromagnetism is its relationship to the transport of momentum and energy by means of photons. This article utilizes a topological perspective to discuss the classical features and quantum concepts associated with the photon, including Topological Spin, Topological Torsion, Helicity and Chirality. A comparison is made between the experimental realizations of Falaco Solitons as propagating topological defect singularities in a fluid discontinuity, and the concept of a photon as propagating topological defect singularities in the light cone discontinuity.