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.
Authors
- 真潔 川上 (ORCID: https://orcid.org/0009-0009-2972-6511)
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
- Field-Weighted Citation Impact
- 0.00