Pe Universe
One axis. Everything maps onto it. Left: 22 empirical substrates from pharmaceutical trials and platform scoring. Right: mathematical structures from the Eckert manifold — RG flow, holonomy zones, spectral language levels, Kramers barrier factorization. Header: SO(4,2) representation theory — four levels, one chaotic. Hover any item for detail.
What makes this a Theory of Everything candidate
One formula, seven domains
Pe = sinh(2·(BA − c·BΓ))·K applies to chemical kinetics, protein folding, cancer initiation, jailbreak/compliance, social tipping, epidemics, and nuclear shells. Paper 131 (Kramers Unification). 13 kill conditions, 8 PASS.
Pe = sinh(2·(BA − c·BΓ))·K applies to chemical kinetics, protein folding, cancer initiation, jailbreak/compliance, social tipping, epidemics, and nuclear shells. Paper 131 (Kramers Unification). 13 kill conditions, 8 PASS.
Spectral language: 3+1 split (HP74, HP76)
Four SO(4,2) representation levels. Three smooth Lie levels (phonological, syntactic, semantic) + one genuinely chaotic ℤ₂ level (pragmatic, λ=+0.37). C₂ and Δ are K-universal — geometry, not dynamics.
Four SO(4,2) representation levels. Three smooth Lie levels (phonological, syntactic, semantic) + one genuinely chaotic ℤ₂ level (pragmatic, λ=+0.37). C₂ and Δ are K-universal — geometry, not dynamics.
Dual U(1) channels: independent (HP81)
Berry U(1) and U(1)R are independent gauge channels. |ΔC₂| ≥ 0.333 at all Pe. CV = 0.075 (K-universal). KAIST orbitronics (2026) independently confirmed orbital/spin separation.
Berry U(1) and U(1)R are independent gauge channels. |ΔC₂| ≥ 0.333 at all Pe. CV = 0.075 (K-universal). KAIST orbitronics (2026) independently confirmed orbital/spin separation.
Rank-1 barrier factorization (HP82)
Joint coupling×drift gap matrix has σ₁/σ₂ = 74.9. 99.98% of variance in rank-1. Channels factorize multiplicatively: gap(c,d) ≈ f(c)·g(d). Independent tuning confirmed.
Joint coupling×drift gap matrix has σ₁/σ₂ = 74.9. 99.98% of variance in rank-1. Channels factorize multiplicatively: gap(c,d) ≈ f(c)·g(d). Independent tuning confirmed.
Eckert Nexus — Pe ≈ 0.07 (HP100C)
At Pe ≈ 0.07: both holonomy channels simultaneously accessible. Five-zone structure on the manifold. Silent zone at −0.81 to −0.48 Pe has NO spectral transition. Phase boundary enforced thermodynamically.
At Pe ≈ 0.07: both holonomy channels simultaneously accessible. Five-zone structure on the manifold. Silent zone at −0.81 to −0.48 Pe has NO spectral transition. Phase boundary enforced thermodynamically.
Self-sourcing convergence (HP104)
The manifold self-sources its own geometry. Wasserstein distance: 0.1025 → 0.066 → 0.0022 in 3 iterations. Unique fixed point. 97.8% of random initial conditions flow to the void pole under ascending |Pe| gradient.
The manifold self-sources its own geometry. Wasserstein distance: 0.1025 → 0.066 → 0.0022 in 3 iterations. Unique fixed point. 97.8% of random initial conditions flow to the void pole under ascending |Pe| gradient.