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It is the definition of equilateral CHARGE geometries and their role in creating 3D Tetryon[ic] Matter geometries that lies at the heart of my theory.
The equilateral CHARGED geometry of ENERGY proves a clear foundation for all EM mass-ENERGY-Matter particles of the Standard Model
It may be helpful to visualise this equilateral geometry as an 'ideal quantum inductive loop' of EM energy which forms the basis for inertial mass etc but it is also equally important to also note that 2D mass & 3D Matter are different properties of ENERGY and must be clearly defined.
2D mass-Energy is a planar radiative charge geometry and
3D Matter is a standing-wave mass-Energy geometry that is relativistically invariant
Vectors are in fact the result of the longitudinal [linear] momenta [SQUARE ROOT] of all 2D Kinetic Energy geometries that result from 3D Matter geometries in motion.
It is the 2D Kinetic Energy fields that undergo Lorentz contractions as a result of acceleration NOT the 3D Energy standing-waveforms of Matter has been supposed under SR and GR since their formulation by Einstein.
As you allude to in your paper it is the invariant 4npi tetrahedral standing-wave geometry of EM mass-ENERGY that is the quantum of all Matter, with its various net charge fascia producing the many fractional 'elemental' charges of Quarks etc and neutral charges of Photons and Gluons etc.
The quantum property of SPIN is the result of the geometrically enforced EM properties of 2D mass-Energy quanta of the 2D KEM fields of Matter in motion. [historically incorrectly viewed as the relativistic distortion of spherical point charges]
Leptons have a unique geometry that is reflective of a quantum 6 pole electric rotor [see attached] that permits the development of larger magnetic moments than that of either Quarks or Baryons
My YouTube pages go into these specific properties in greater depth that I can here [www.youtube.com/tetryonics]Attachment #1: Figure_19.03__Generating_Magnetons_800x600.jpg