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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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Quillen detline moduli

v472_quillen_detline_moduli.py · frontier

Read the original description and evidence links

ALPHA.QUILLEN.DETLINE.01: the determinant line over the U(1)-twist moduli of the collar model carries curvature = the inflow level -- the finite Quillen/Dai-Freed shadow of the v470 bridge lemma, computed. [E] Bloch level re-verified: BZ Chern C(M=1)=1, C(M=3)=0, C(M=-1)=-1 (the v470/v367 integers). [E] the Quillen object computed: the same collar h(k) in real space with twisted boundary conditions (the twist torus = moduli of flat U(1) connections); the FHS curvature of the DETERMINANT LINE of the occupied frame over that torus = 1 exactly (1e-9) at M = 1, for L = 4 AND L = 6 (size-independent). [E] controls: trivial M=3 -> 0, orientation flip M=-1 -> -1. [E] two tori, one level: twist-moduli integer == Bloch-BZ integer for all three M (Niu-Thouless-Wu PRB 31 (1985), exhibited on the S3 collar model). [E] section globally defined: Fermi gap 2.0 open over the whole twist torus (the Dai-Freed section has no zero). [C] the reading: det-line holonomy over the U(1) moduli = inflow level k0 = |C| = 1 -- the v470 bridge lemma 'delta log det_zeta(seam) = the inflow response' holds verbatim at the finite/model level. [O] not closed: the abstract-seam zeta-determinant identification (continuum leg, = the SEAM.EQUIV.01 face); ALPHA.QUILLEN.EXACT.01 stays [O]; alpha^-1 stays [E]. Numerical, Python-only.

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Linked claims: ALPHA.QUILLEN.DETLINE.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 Source section 11 Source section 12 Source section 13 Source section 14 Source section 15 Source section 16 Source section 17

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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.

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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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