Temporal Electrodynamics III: Quantization
Authors/Creators
Description
Subtitle: Photons and Quantization of Temporal Transport Modes
Temporal Electrodynamics is a three-part framework progressing from geometry, through dynamics, to quantization: from temporal field deformations, to physical transport in vacuum, and finally to the photon as a topological soliton:
Temporal Electrodynamics I: Geometry
It is demonstrated that electromagnetic fields are not abstract vector entities but geometric deformations of the temporal continuum, represented by gradients and circulations of the temporal field τ.
Temporal Electrodynamics II: Dynamics
A physical transport mechanism underlying the displacement current and Maxwell’s equations is derived in terms of temporal flow. This part explicitly identifies what is transported in vacuum and how electromagnetic dynamics arise from temporal transport processes.
Temporal Electrodynamics III: Quantization
The transition from a continuous temporal field to discrete photon excitations is established. The photon is derived as a topologically stabilized soliton in the form of a temporal vortex ring, with its spin, energy, and effective mass explained through the stability and geometry of the underlying temporal transport structure.
Abstract
Abstract
This work extends the Temporal Electrodynamics (TTEM) framework by developing a dynamical model of photon formation as a quantized transport mode of the temporal medium. Building upon previous studies in which electromagnetic fields were interpreted as gradient and circulation structures of temporal density and temporal flow, the present article investigates how localized, stable, and quantized excitations arise within the temporal condensate.
We demonstrate that nonlinear self-interaction of the temporal field permits formation of topologically stable ring transport modes. These structures naturally exhibit quantized propagation conditions, energy discretization, and intrinsic angular momentum corresponding to photon helicity. The quantization condition emerges from phase continuity constraints imposed on closed temporal transport loops rather than from operator postulates of conventional quantum mechanics.
The proposed framework provides a medium-based interpretation of photon energy, spin, and wave–particle duality while preserving compatibility with experimentally verified electromagnetic propagation. The results establish photons as emergent quasiparticles of temporal density transport and provide a theoretical bridge between classical electrodynamics and quantum electromagnetic phenomena.
Keywords
Temporal electrodynamics; photon quantization; vortex ring modes; temporal field theory; electromagnetic quasiparticles; topological transport; vacuum nonlinear optics; temporal condensate dynamics.
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