SPT papers — series P1–P5

Umbrella / H1 spine — read this first

I propose Supreme Polarity Theory (SPT): fundamental constants as combinatorial outputs of a single action on the discrete Bagua hypercube Q₇. Three axioms (substrate n=7, DANode SU(2) unit, cascade slope d₀=√7/4) plus one Action yield closed forms including 1/α=137, Cabibbo 9/40, h=27/40, sin²θ_W=3/13, m_p=Λ√(6π), and cross-sector shells 13 and 40. Each claim ships with a public SymPy script. No new free parameters. Honest scope: cascade intercepts d_i remain partly calibrated; Clay continuum is not claimed solved. Companion papers P2–P5 deepen SM, cosmology, Yang–Mills Phase 8a, and cross-sector integers. Phase H2 freezes four blind spears (δ_CP, n_T, DM, h/λ). Independent audit requested.

Standard Model closed forms

Companion deep-dive: gauge structure SU(3)×SU(2)×U(1), Weinberg angle 3/13, fermion cascade, CKM/PMNS closed forms, and electroweak masses from Q₇ combinatorics with public SymPy checks. References P1 for the global framework.

Cosmology closed forms

Cosmology companion: h=27/40 and SH0ES ratio √(75/64), Ω shell partition, n_s=55/57, inflation from V(φ), bounce vs singularity, and SGWB tilt n_T=3/13. Same substrate as P1; no new free parameters.

Yang–Mills lattice foundation (NOT Clay prize)

HONEST: not a Clay Millennium solution. Establishes three lattice-level results (gauge invariance, reflection positivity, well-defined Gibbs measure) on the Q₇ substrate and states three open continuum conjectures. Companion to P1 open-problems section.

Cross-sector integer evidence (short)

Short PRL-style note: denominator 13 unifies sin²θ_W, sin²θ₁₂, CKM A, and n_T; denominator 40 unifies Cabibbo λ and h_Planck; 6π unifies proton mass and mass gap. Map F vocabulary (I1–I5) on the website expands this note.