Abstract

Establishment of an LC equation and of a local fields equation describing permanently localized photons from the analysis of kinetic energy circulation within the energy structure of the double-particle photon that Louis de Broglie hypothesized in the early 1930's. Among other interesting features, these equations provide a mechanical explanation to the localized photon properties of self-propelling at the speed of light and of self-guiding in straight line when no external interaction tends to deflect its trajectory. This paper summarizes the seminal considerations that led to the development of the 3-spaces model.

Highlights

  • The first integrated representation of electromagnetic energy was provided by Maxw­ ell as a continuous wave phenomenon that would be due to interacting electric and magnetic fields ind­ ucing each other, which led to the recognition that radio frequencies belong to the same electromagnetic spectrum as visible light

  • This left no precise function being assigned to the "magnetic" aspect of the electromagnetic energy in a possible mechanics of mutual induction that would involve the two separate charges, which are the "electric" components of the photon, a mechanics that would explain why photons can maintain sufficient local unity to account for their systemat­ic and verifiable point-like behavior during scattering or absorption encounters, which includes all photons that we know have been emitted from the farthest reaches detectable in the universe, after having traveled for countless years

  • The fundamental question can be summarized as follows: How can a quantity of kinetic energy, accumulating due to Coulomb force freefall ac­celeration of a massive particle as the latter unidirectionally inc­reases its velocity in space to start with, dynamically "fold" onto itself according to the threefold orthogonal relation revealed by Maxwell's theory, to become a stable quantum of electromagnetic energy escaping at the speed of light, while being animated with the local multidirectional oscillating motion suggested by de Broglie's hypothesis; a quantum whose energy would consist in a space-wise electric dipole cyclically morphing into a time-wise magnetic dipole, and that could explain all electromagnetic properties of photons without chan­ging in nature?

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Summary

Introduction

The first integrated representation of electromagnetic energy was provided by Maxw­ ell as a continuous wave phenomenon that would be due to interacting electric and magnetic fields ind­ ucing each other, which led to the recognition that radio frequencies belong to the same electromagnetic spectrum as visible light. A few other models have been proposed since, but all approaches have the similar downside with respect to Maxwell’s theory of treating the electric and magnetic fields, either explicitly or implicitly, as a single "elect­romagnetic field" which turns out to be somehow featureless at the general level (the electromagnetic tensor), which distracts from per­manent awareness that both fields are of equal and separate importance in Maxwell's theory, with different and irreconcilable characteristics, besides mutually inducing each other This left no precise function being assigned to the "magnetic" aspect of the electromagnetic energy in a possible mechanics of mutual induction that would involve the two separate charges, which are the "electric" components of the photon, a mechanics that would explain why photons can maintain sufficient local unity to account for their systemat­ic and verifiable point-like behavior during scattering or absorption encounters, which includes all photons that we know have been emitted from the farthest reaches detectable in the universe, after having traveled for countless years. This paper is an attempt at exp­ loring deeper even than the already interestingly detailed electric and magnetic fields as described by Maxwell's theory

The Required Internal Electromagnetic Symmetry
Internal Coulomb Interaction between the Halfphotons
Electrostatically Destabilizing Trajectories Intersections
The Distribution of Kinetic Energy within a Localized Photon
The Neglected Classical Maxwellian Space Geometry
Discrete Particles as the Only Possible Support of Electromagnetic Properties
Defining a Major Unit Vectors Superset
Underlying Kinetic Energy Circulation
Macroscopic LC circuits
The Photon as a LC oscillator
The photon general LC equation
The photon general local fields equation
Conclusion
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