Recognition Physics φ · Labs

Run the claim. Diff the output.

Each lab is a self-contained script, a reference output from a fresh run, a chart drawn from the measured numbers, and an honest-scope box naming the tier and the kill condition. No API keys. No GPU. Seconds on a laptop. If your run disagrees with the reference output, that is a finding: tell us.

Recognition Physics Institute · labs opened 2026-07-08 · every script re-run and verified on publication day

01 · GRAVITY · numpy · ~20s

Regge triangulation

Chop Schwarzschild and de Sitter into up to 1.6M 4-simplices. Measure the h² deficit law and the h⁴ recognition correction. Flat-space null test built in.

measured: h^2.01–2.08 and h^4.16–4.27
02 · HOLOGRAPHY · stdlib · <1s

Bekenstein spectrometer

Exact GF(2) capacity defects on strips, patches, and the torus. Integer seam gluing law; the kill condition is preregistered and the pressure on it is reported.

measured: seam = 2 on all 16 splits
03 · GRAVITY · stdlib · <1s

Lattice Lorentz

Cos-Laplacian dispersion matching Lean: quadratic, never linear, LV. MODEL estimate vs Fermi-LAT, IceCube, and clock bounds.

5 / 5 bounds cleared; linear LV would kill
04 · GRAVITY · stdlib · <1s

Six gravity numbers

SI bridge, black-hole log coefficient between LQG and string, Page time, vacuum rung, w(z) thawing drift. Post-audit, tiers per block.

5/5 checks; (w₀,wa) = (−0.983, −0.017)
05 · PARTICLES · numpy+scipy · ~1s

The 3/8 crossing

SM and MSSM running to sin²θW = 3/8. The crossing value is exact; the SM scale misses the GUT window and the page says so.

sin² = 0.37500 exact; SM outside, MSSM inside
06 · PARTICLES · stdlib · <1s

Bit-exact mass ratio

Muon/electron between rungs 11 and 12 of the φ-ladder, certified with integer arithmetic only. Mirror of the Lean certificate.

6 / 6 PASS; ε bracketed to 10⁻⁷
07 · PARTICLES · numpy+scipy · ~1s

PMNS χ²

Preregistered φ-harmonic neutrino mixing vs NuFIT 5.2. The θ₂₃ octant tension is shown; Lean δCP = 204.5° sits 0.45σ from NuFIT.

not falsified; DUNE/JUNO decide
08 · GRAVITY · numpy · ~2s

Galaxy rotation

RS causal-response gravity vs 99 SPARC rotation curves with zero per-galaxy parameters, against a MOND baseline on identical masks. The preregistered gate verdict is printed verbatim.

median χ²/N: 1.52 vs MOND 5.50; gate says FAIL
09 · GRAVITY · numpy · <1s

The Regge cubic

Third derivative of the Regge action by five-point stencil. Two symmetry nulls land at zero and the h² truncation / h⁻³ roundoff crossover is measured, not asserted.

cubic = −0.239289; both nulls ≈ 0
10 · ASTRO · stdlib · <1s

Solar eigenvalues

The 4-site chain has eigenvalues exactly ±φ, ±1/φ (theorem). The stellar application is a hypothesis tested against BiSON and Kepler, and most tests miss.

math exact; Sun says mostly no
11 · MATH · stdlib · ~4s

Erdős–Straus

Recognition-cost guided search for 4/n unit-fraction splits over every hard-class n up to 250,000. Each solution re-verified in exact integer arithmetic.

62,499 / 62,499 solved; 95.8% at c=3
12 · PARTICLES · numpy · <1s

The α construction

The canonical 44π·e^(−w₈lnφ/44π) with w₈ derived as a Lean theorem. It lands 5.6 ppm above CODATA, and our own theorems prove the miss at >30,000σ.

137.03677 assembled; proved miss; exact α OPEN
How to read a lab

Download the script. Run it. Diff against the reference output. Read the honest-scope box before citing anything. THEOREM means proved in Lean with the axiom audit clean; MEASURED means a number from a run with a null test; MODEL means a definitional choice; HYPOTHESIS means a prediction with a named falsifier; OPEN means we have not derived it yet and say so. The weakest link sets the tag, and a lab that reports pressure against its own live bet (see Bekenstein) is working as designed.

All labs Regge triangulation Bekenstein spectrometer Lattice Lorentz Six gravity numbers 3/8 crossing Mass ratio PMNS χ² Galaxy rotation Regge cubic Solar eigenvalues Erdős–Straus The α construction