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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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Seam holomorphy selection

v234_seam_holomorphy_selection.py · frontier

Read the original description and evidence links

The Seam-Holomorphy selection certificate: the entire structural residual is ONE condition with THREE equivalent faces, all forcing E8. THE CONDITION: 'the seam carries no nontrivial abelian sector.' (i) AQFT: the boundary net is holomorphic (mu-index 1); (ii) geometry: the seam link is a homology 3-sphere <=> the binary group is perfect <=> 2I; (iii) rep theory: exactly one 1-dim irrep. #(mark-1 affine-Dynkin nodes) = |Gamma^ab| = |H1(S^3/Gamma)| = #(1-dim irreps): A_n->n+1, D_n->4, E6->3, E7->2, E8->1 -- ONLY E8 gives 1 (2I the unique perfect SU(2) subgroup, Poincare the unique homology-sphere space form). Holomorphic c=8=g_car+N_fam => unique even unimodular rank-8 lattice = E8. The three faces (v83/v154, v232, v219) are the SAME E8-selector, so Target A, G_net, P2 and the Kleinian seam are ONE gate. The closing theorem (stated, [O]): RP+gap+chirality => quasi-free bulk (v160) => invertible bulk => holomorphic boundary => E8; the single residual is 'free bulk => holomorphic boundary'.

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Linked claims: GATE.HOLO.01
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

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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