Results Prediction Surface Canonical Zero-parameter numerical predictions from the single master constant ι_τ = 2/(π+e), with precision tiers and current observational comparisons.
Prediction SurfaceCanonical

Predictions

Zero-parameter numerical predictions from the single master constant ι_τ = 2/(π+e), with precision tiers and current observational comparisons.

The Numerical Prediction Catalogue

The Numerical Prediction Catalogue compiles 67 quantitative predictions derived from the single master constant ιτ = 2/(π+e), with zero free continuous parameters. Each prediction compares a τ-derived value to experimental measurement under explicit source, unit-context, and verification boundaries.

The cascade. The numerical prediction catalogue lists the physics predictions. The Calibration Cascade shows the dependency structure connecting the master constant, dimensional anchor, coupling readouts, mass-ratio chain, constants-ledger table, and verification comparisons.
  1. L0 Algebraic
  2. L1 Dimensionless
  3. L2 SI Anchor
  4. L3 SI-Derived
  5. L4 Verification

Precision tiers

Predictions carry Corpus Wave 2 metadata along two separate axes:

  • Precision tier — sub-10 ppm, 10–1000 ppm, 1–5%, or structural.
  • Cascade tier — Tier A, Tier B, Tier C, or binary.

These tiers describe internal readout sharpness. They are distinct from public status grammar (Internally addressed / Partial / Qualitative / Contradicted / Not addressed), formal verification state, and external acceptance.

Reading the tiers honestly. A Tier-A or sub-10-ppm label means "structural derivation present in the kernel chain" — not "agreement at the precision of the experimental measurement." Two Tier-A predictions with very different agreement levels can sit side by side in the catalogue, and a single prediction can carry multiple legitimate derivation routes at different precision bands. For example: the fine-structure constant α is one of the most precisely measured quantities in physics (relative precision ≈ 10−10). Our framework derives α via two routes — a closed-form algebraic LO α = (11/15)2·ιτ4 reproducing CODATA to ~9.8 ppm (auditable in one line; see Book IV Chapter 10), and a full multi-loop derivation (IV.T107 with NLO holonomy + NNLO window algebra) reaching ~0 ppm. Both are honest framework claims; both co-exist by design. The electron mass me, derived via the kernel-anchored cascade with the neutron mass as the dimensional anchor, agrees to ~0.025 ppm — and is itself a fit of the dimensionless ratio me/mn, not an absolute prediction. All three are Tier-A. None of them are at measurement precision. Always open the per-prediction page to read the precision band, which derivation route is being cited, the dimensional-anchor chain, and the comparator-vintage details before treating any single tier badge as endorsement of measurement-level agreement. See also question 11 in the Red-team FAQ for the full discussion, including the explicit arithmetic. The predictions browse grid now displays a per-row precision-band chip on every prediction card so the band is readable at a glance.

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