TTT Verification Note: Counter-Rotating Pairs, Light Propagation, Refractive Index, the f-Sum Rule and the Electron g-Factor

Within Tri-Tetra Theory (TTT), space is pictured as a medium of rotating units (OπO) organised by a bipolar-zero axiom. This note records only results checked by explicit calculation (scripts attached). (1) A lattice of same-sense gyroscopes carries only quadratically dispersive waves; a linear, two-polarisation transverse wave appears exactly when each site holds a counter-rotating (±) pair with zero net angular momentum.(2) A uniform soft pair only renormalises the wave speed and is not an observable refractive index.(3) Site-local matter units coupled to vacuum pairs reproduce the Lorentz oscillator index exactly; a net spin of the matter units reproduces classical Faraday rotation.(4) The Thomas–Reiche–Kuhn sum rule forces all charged constituents of an electron to share one charge-to-mass ratio, which classically yields g = 1.(5) Requiring both the sum rule and g = 2 for a charged plus a neutral massless component with total J = 1/2 has the unique solution j_c = 2, j_n = 3/2; restricted to the binary tetrahedral group 2T these are 1'⊕1''⊕3 and 2'⊕2'', whose Z3 charges cancel to the spinor 2. Results (1)–(4) reproduce known physics in new language. No dimensional constant is derived. Open problems, including a Weinberg–Witten obstruction for a massless spin-3/2 constituent, are listed explicitly.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-16
DOI
https://doi.org/10.5281/zenodo.22800264
Primary Topic
Quantum and Classical Electrodynamics
Type
article
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TTT Verification Note: Counter-Rotating Pairs, Light Propagation, Refractive Index, the f-Sum Rule and the Electron g-Factor

真潔 川上
Zenodo (CERN European Organization for Nuclear Research)
Quantum and Classical Electrodynamics
article

TTT Verification Note: Counter-Rotating Pairs, Light Propagation, Refractive Index, the f-Sum Rule and the Electron g-Factor

真潔 川上
article en

Abstract

Within Tri-Tetra Theory (TTT), space is pictured as a medium of rotating units (OπO) organised by a bipolar-zero axiom. This note records only results checked by explicit calculation (scripts attached). (1) A lattice of same-sense gyroscopes carries only quadratically dispersive waves; a linear, two-polarisation transverse wave appears exactly when each site holds a counter-rotating (±) pair with zero net angular momentum.(2) A uniform soft pair only renormalises the wave speed and is not an observable refractive index.(3) Site-local matter units coupled to vacuum pairs reproduce the Lorentz oscillator index exactly; a net spin of the matter units reproduces classical Faraday rotation.(4) The Thomas–Reiche–Kuhn sum rule forces all charged constituents of an electron to share one charge-to-mass ratio, which classically yields g = 1.(5) Requiring both the sum rule and g = 2 for a charged plus a neutral massless component with total J = 1/2 has the unique solution j_c = 2, j_n = 3/2; restricted to the binary tetrahedral group 2T these are 1'⊕1''⊕3 and 2'⊕2'', whose Z3 charges cancel to the spinor 2. Results (1)–(4) reproduce known physics in new language. No dimensional constant is derived. Open problems, including a Weinberg–Witten obstruction for a massless spin-3/2 constituent, are listed explicitly.

Zenodo (CERN European Organization for Nuclear Research)
Openalex Percentile: Top 13%
Quantum and Classical Electrodynamics
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