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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 chern simons

v235_seam_chern_simons.py · frontier

Read the original description and evidence links

The closing step in abelian Chern-Simons language: holomorphic <=> det K = 1 -- a genuine reduction (not a closure) of GATE.HOLO.01 into standard anyon-condensation physics. A free gapped bosonic 2+1d bulk = an even integer K-matrix with #anyons = |det K|, edge c = signature(K), holomorphic <=> |det K| = 1. The TFPT extension tower (v92) IS the condensation tower read by det: carrier D5(+)A3 (det 16, 16 anyons) -> SO(16)_1=D8 (det 4) -> (E8)_1 (det 1, holomorphic), all rank 8, c=signature=8=g_car+N_fam. Holomorphic <=> det 1 <=> E8 = the Kitaev E8 quantum-Hall state. Condensation: a Lagrangian glue of order sqrt(16)=|mu4|=4 takes det 16->1 (a partial order-2 isotropic only ->4=D8). NEG: D8 is free+bosonic but has 4 anyons; an odd K is fermionic -- det=1 is the extra condition. Residual: 'the free RP seam condenses the order-|mu4| Lagrangian glue' = the sheet/QGEO selection, now with holomorphy<=>det1 a theorem.

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Linked claims: GATE.HOLO.02
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5 Source section 6 Source section 7

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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

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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