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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.

1 matching module · showing 1–1

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E8 jetcode affine nsr

v803_e8_jetcode_affine_nsr.py · core

Read the original description and evidence links

E8.RAMIFIED.JETCODE.01 (+ E8.AFFINE.NSR.01): die Jet-Code-Normalform des Gauss-E8-Compilers + das NS/R-Bit als affine 8-Punkt-Geometrie — **JETCODE-EXACT + AFFINE-NSR-EXACT (18/18 + 15/15): Z[i]/(2) = F2[eps]/(eps²) mit eps = 1+i (2 VERZWEIGT; Iso eindeutig, der falsche Split-Ring F2×F2 scheitert an allen 24 Bijektionen); W = L/2L FREI vom Rang 4 über den dualen Zahlen (explizite Z[i]-Basis via Hermite-Reduktion, Kovolumen-zertifiziert); 0 → eps W → W → V → 0 exakte SELBST-Erweiterung mit ker(eps) = im(eps); das Deck IST die Jet-Einheit J = 1 + eps und reproduziert den v782-Torsor auf allen 240 Wurzeln; NULL μ₄-äquivariante Splittings unter allen 65536 linearen Schnitten — die Kein-Ursprung-Obstruktion IST die Nicht-Spaltbarkeit; die 120 Wurzelpaare = die q = 1-Einheitsschale (Plus-Typ, 240 = 15 × 8 × 2: Wurzel = (Adresse, Fehler-Jet, Orientierung)). TEIL 2: V \ {0} = 7 NS + affiner 8-Punkt-Torsor; 112 D8-Wurzeln (NS) + 128 Ramond-Spinor (R), 248 = (112+8)+128; Stab(χ_NSR) = AGL(3,2) Ordnung 1344 = Aut(H8) mit DERSELBEN natürlichen 8-Punkt-Wirkung (Brute-Force 40320); affine Funktionen auf dem Torsor rekonstruieren RM(1,3) = H8 mit exakt 1344 Äquivalenzen; Sp(4,2)-Stabilisator (Ordnung 48) wirkt INNERHALB von AGL(3,2). Getypt: interne Rekonstruktion, KEINE P2-Entfernung; keine Materie-Semantik (ROOTCLASS-MIXED)

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Linked claims: E8.RAMIFIED.JETCODE.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

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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.

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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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