Photon vs Electron in IDWT: A Dimensional Comparison
The photon in a d=2 sector, the electron in d=6. A short note working through what the dimensional difference implies for masslessness, polarization, and spin structure.
Atomic Orbital Structure as d=6 Sector Projection in IDWT
The electron's angular momentum eigenmodes in hydrogen are representations of SU(4). Projecting along SU(4) ⊃ SU(3) ⊃ SO(3) recovers the s, p, d, f families with exact degeneracies — as a theorem of the sector geometry, with no free parameters.
A Spectral Derivation of the Standard Model
IDWT as a spectral triple. The Standard Model is identified as the spectral data of a single self-adjoint operator, requiring one mass unit and three integer seeds {nd=1, nu=3, ntop=72} to fix all particle masses, coupling constants, and mixing angles.
Infinite Dimensional Wave Theory
Full documentation of IDWT: the complete Standard Model particle spectrum — 15 masses across twelve orders of magnitude — derived from seed pair {nd=1, nu=3} (composite ns=4) and me, with falsifiable neutrino predictions and an open-source proof script.
A Combinatorial-Geometric Derivation of the Standard Model Spectrum from a Single Integer
The mass formula m(n,d) = m_scale,d × S(n,d) derived from first principles in five theorems, including a Completeness Theorem showing no additional stable particles are possible within the framework.