Follow a result back to its evidence.

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 sre closure

v237_seam_sre_closure.py · frontier

Read the original description and evidence links

The closing step as a PHYSICAL condition: no topological ground-state degeneracy <=> det K=1 <=> the seam bulk is short-range-entangled (SRE/invertible). Sharpens GATE.HOLO.02's residual from definitional to physical/falsifiable. The K-matrix ground-state degeneracy on a genus-g surface is |det K|^g (carrier D5(+)A3->16, D8->4, E8->1 on the torus), so 'no degeneracy on any closed surface' <=> det K=1. Among rank-8 even positive-definite K (c=8=g_car+N_fam) only E8 has det 1 -- the unique nontrivial bosonic SRE 2+1d phase (Kitaev E8), edge holomorphic; D8/carrier are LRE. A unique vacuum on the plane (RP+gap+cluster) is necessary but not sufficient (the plane cannot see det K, the torus does), so the residual is exactly 'the seam unique-vacuum extends to the torus' = SRE. NEG: an LRE bulk (D8) has 4-fold torus degeneracy + non-holomorphic boundary. Sharpened residual: 'the free RP gapped seam is short-range-entangled (no topological order)' = det K=1 = the Kitaev E8 phase -- a yes/no statement, sharper than v235/QGEO.SYM.01. Not a closure.

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Linked claims: GATE.HOLO.03
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5 Source section 6 Source section 7

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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