The Physics Ledger
67 zero-parameter predictions, 30 falsification tests, 7 seams — the complete numerical scorecard derived from ι_τ = 2/(π+e). Free PDF download.
The Physics Ledger is the complete numerical scorecard of the Panta Rhei Research Program — 67 quantitative predictions derived from the single master constant ι_τ = 2/(π+e), with zero free parameters. Originally Part VII of Book V (Categorical Macrocosm), it is published here as a free companion document for self-contained access.
The predictions are bridge-independent: they can be compared directly to experimental measurement without accepting the program’s deeper ontological claims. The number either agrees with experiment or it doesn’t.
Ten chapters across five physics domains
The Correspondence Map
τ³ ↔ orthodox physics translation dictionary
The Mass Spectrum
All particle masses from one constant — electron at 0.025 ppm, Higgs at 8.0 ppm
Mixing Angles & Baryogenesis
CKM, PMNS, θ_QCD = 0 exactly, baryon asymmetry η_B
Inflation, the CMB, and BBN
r = ι_τ⁴ ≈ 0.0136, spectral index, acoustic peaks, primordial light elements
The Dark Sector Dissolved
Rotation curves without dark matter, Ω_Λ, Hubble tension resolved at −15 ppm
Black Hole Topology
T² horizons, QNM ratio ι_τ⁻¹ ≈ 2.929, EHT shadow +2.91%, GW echoes
Collective Dynamics
She–Lévêque β = 2/3, Kolmogorov C_K = 3/2, magnetic reconnection
Foundations & Falsification
Measurement problem, why unification failed, the complete inventory + N1–N30
Precision hierarchy
Falsification Pack (N1–N30)
30 predictions with named experiments and 2025–2035 timelines. The sharpest discriminant: N9 (tensor-to-scalar ratio r = 0.0136), testable at 14σ by CMB-S4.
Seven falsifiable seams where τ and orthodox physics make structurally incompatible predictions — from black hole topology (T² vs S²) to dark matter existence (zero vs WIMP/axion) to the equation of state (w₀ ≈ −0.960 vs w = −1).
Inside the document
Interactive versions on this site
The predictions and falsifications are also available as interactive, filterable collections with per-item detail pages:
- Predictions Browse — 67 cards with domain/precision/scope filters, each linking to a detail page with the explicit τ-formula and derivation prose
- Falsifications Browse — 30 cards with domain/status filters, each with named experiments and current observational status
Why this document matters
If even a fraction of the sub-10 ppm predictions hold under independent scrutiny, this would be the first zero-parameter derivation of fundamental constants from a single structural constant — a result with no precedent in theoretical physics.