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Choose a result, inspect its assumptions, then run the calculation that supports it. Each check answers a specific question. The original status and the scope of that answer stay attached.

Start with the E₈ construction.

The first module builds the lattice explicitly. It checks the glue, constructs its 240 roots and tests the lattice basis. You can read the source before running it.

Question: Does the explicit construction give the even, unimodular E₈ lattice?
What is tested: Shared ℤ₄ discriminant data; glue norms 5/4 + 3/4 = 2; 240 roots of squared length 2; an integral, even basis with determinant 1.

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This is a mathematical lattice check. Identifying that lattice with a physical system requires additional arguments and retains its own status.

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Search all 707 registered Python modules by subject, filename, claim or source section. This catalogue records source presence and links. It does not report a new execution or a passing result for every module.

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Entropy power law

v129_entropy_power_law.py · registry

Read the original description and evidence links

THE CLOCK IS AN ENTROPY POWER LAW (what the resummation argument 1 − n/N_fam IS physically): THE THREE ENTROPY LEVELS [I] — the established Nariai bookkeeping (v101) has S/S_dS ∈ {1, 2/3, 1/3} (pure dS; two-horizon total; single horizon — deficit S_dS/3 per step): EXACTLY the complementary cusp weights; THE CLOCK IS AN ENTROPY POWER LAW [I]: λₙ = (Sₙ/S_dS)^{p₂} = the frozen transfer spectrum, rate(n) = p₂ ln(S_dS/Sₙ) — hexagon-weighted log-entropy deficits (audit: exponent p₂ = 6 = 2h reads as the two-point form of a weight h = 3 = N_fam operator); THE COUPLING IS THE ENTROPY DEFICIT [I] (triple identity): α = n/N_fam = MS parabolic weight (v115/v126) = 1 − Sₙ/S_dS = ΔSₙ/S_dS — the RPA insertion strength is the fractional entropy deficit, not a free parameter in ANY of its three readings; ORIENTATION CONSISTENT [I]: weight 0 ↔ pure dS (max entropy, stationary attractor), weight 2 ↔ single horizon (fastest decay) — the established repeller → attractor flow; R1 THERMODYNAMIC FORM [P]: derive Γₙ ∝ (Sₙ/S_dS)^{p₂} from the near-Nariai one-loop — a Gibbons–Hawking-type entropy power law with exponent = the hexagon size

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Linked claims: HOR.CLOCK.06
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5 Source section 6 Source section 7 Source section 8 Source section 9 Source section 10 Source section 11

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A numerical calculation, a formal theorem and an experimental comparison carry different kinds of information. Follow the source appropriate to the claim.

Python calculations: Inspect the algorithm, its inputs and its negative controls. Run a browser compatible module here, or use the repository for the complete environment.Browse Python sources
Formal mathematics: Read the actual Lean statement and its assumptions. The carrier formalization has a defined mathematical scope.Inspect the Lean formalization
Independent implementation: The Wolfram implementation checks algebraic results through a separate computational path. The recorded runs report 116/116 base checks and 603/603 extension checks. This is distinct from external experimental replication.Read the Wolfram implementation
Physical comparison: Read each prediction with its freeze, conditions and failure criterion. A passing mathematical check does not decide the experimental comparison.Open the prediction register

Run the same check on your machine.

From a checkout of the repository, install its Python requirements and run the first lattice module. The complete suite is a separate step.

Set up the repository

git clone https://github.com/sthamann/tfpt.git
cd tfpt
python3 -m venv .venv
.venv/bin/pip install -r requirements.txt

Check the E₈ lattice

.venv/bin/python verification/v1_e8_glue.py

Read the individual checks and the final pass or fail result.

Run the registered suite

cd verification
../.venv/bin/python run_all.py

The full suite uses the dependencies and source context documented in the repository.

Repository setup and maintenance instructions

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The research snapshot dated 2026-11-02 includes the active ledger, reviewed findings and registered scripts. It records source coverage and stated scope; it is not a new execution of every proof or calculation.

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