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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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Pg32 flag completion

v834_pg32_flag_completion.py · core

Read the original description and evidence links

PG32.FLAGS.01: die PG(3,2)-Flaggen-Normalform für die 105 + 35-Vakuum-Vervollständigung, mit dem Inzidenz-Kill-Test als Split typisiert — **PG32-FLAGS-EXACT + INCIDENCE-SPLIT (26/26): die Zähl-Normalform [4 über 2]₂ = 35, 140 affine 2-Flats = 35 durch den Ursprung + 105 nicht; PG(3,2): 15 Punkte, 35 Geraden, 105 = 35 × 3 Flaggen ≅ C(15,2) Paare; RM-Schicht (v819/v821/v822 neu aufgebaut): [15,10,4]-Enumerator EXAKT, die 105 Gewicht-4-Wörter SIND die Flats ohne 0, Grams 22I+6J / 6I+J / 28I+7J; Vakuum-Lesart: die Vakuum-Koordinate ist URSPRUNGS-RESTAURATION (EIN Ursprungsplan entkürzt dim 10 → 11); DER INZIDENZ-SPLIT (der typisierte Kill): 105 = 45 + 60 ist die Sp(4,2)-ORBIT-Zerlegung auf BEIDEN Seiten (|Sp(4,2)| = 720 brute force); auf den 60 NICHT-ISOTROPEN Sprossen ist die Polaritätskarte Φ: (U,t) → ((t+U) ∩ U^ω, U^ω) wohldefiniert, bijektiv, Sp(4,2)-ÄQUIVARIANT (60 × 720) und INZIDENZ-ERHALTEND; auf den 45 DOILY-Sprossen ist die Obstruktion typisiert: U^ω = U und (t+U) ∩ U = LEER für 45/45 — und das Flaggen-Gram 18I+3J ≠ 22I+6J. TYPISIERTE FOLGERUNG: '105 Checks = 105 Flaggen' ist exakt als deck-äquivariante BIJEKTION, NICHT als Inzidenz-Isomorphismus — die Obstruktion sitzt exakt auf dem Doily (der typisierte Grund, warum v822s Kontinuums-Dilatation starb). Die Nullklasse trägt keine Wurzel (0/240, v689 [E]). Kontrollen feuern. Exakt Integer; keine Floats, kein RNG.**

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Linked claims: PG32.FLAGS.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

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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.

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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