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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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Entropic scaleflow

v477_entropic_scaleflow.py · frontier

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GRAV.ENTROPIC.SCALEFLOW.01: the scale-flow representation of the entropic action -- v475's surviving interpretation 3 typed precisely: the (72/17)(8 pi)^9 gap collapses to ONE moment condition on the scale weight, satisfied by the SAME KMS moment TFPT already fixes (v36 f0 <-> M^2 = c3^7 Mbar^2); zero new dials, nothing closes. [E] scale-flow identity: -ln A = flat scale-integral of relative heat-kernel actions (Frullani symbolic + 1e-20 quadrature of the chi-form) -- TFPT's S_rel,chi evaluates ONE KMS scale with a weight: the bridge is a choice of scale measure. [E] moment dictionary: weight w(t) dt/t gives 3 beta R mu1 + (17/24) beta^2 R^2 mu2; flat weight = unit moments = the v475 raw coefficients. [E] the one moment condition: demanding m^2 = c3^7 Mbar^2 forces exactly mu2/mu1^2 = (72/17)(8 pi)^9 -- the kill-test number IS a moment ratio, and the closure (4608 pi^2/17)/((72/17)(8 pi)^9) = c3^7 holds identically: the 13 orders are a scale-measure datum, not a bridge mismatch. [E] v36 consistency: same mass from f0 = 6(4 pi)^2/c3^7 -- one KMS moment, two parametrisations. [C] consistency not derivation (the weight is TFPT input); negative side-record: the exact lattice-BW commutator attempt for AP2 did not hold in simple forms (logged, kept out). [O] unchanged.

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Linked claims: GRAV.ENTROPIC.SCALEFLOW.01
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5 Source section 6

Different evidence answers different questions.

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

Read the current claim beside its source.

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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