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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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Gamma toy interacting

v615_gamma_toy_interacting.py · core

Read the original description and evidence links

WOIT.GAMMA.TOY.01: die wechselwirkende γ-Scheibe auf Toy-Ebene — die γ-Batterie AUF der RP-überlebenden Wechselwirkungsklasse (das Alignment-Bit: δ = π/2, positive Kopplung, v534) des 16-Majorana-FK-Seam-Toys: **DER WECHSELWIRKENDE SPIEGEL-FLIP** — beim erzwungenen Twist η = +i sind die chiralen Grams PD (37,0,0) auf allen vier Cuts (g ∈ {1/32..8}, v534-Regression), und der SPIEGEL-Zustand spaltet sektor-exakt auf JEDEM Cut und JEDEM g: gerade (29,0,0) PD, ungerade (0,8,0) STRIKT NEGATIV DEFINIT (max. Eigenwert ≤ −1.5e−3, vom Nullpunkt weg beschränkt) — **Kill-Test (3) kann auf der überlebenden Klasse nicht feuern** (v608-Upgrade von g = 0 aufs volle Gitter); der Mark-Transport existiert wechselwirkend (α₄: Mark-A → Mark-B exakt 16/16; Gram und Transport-Form hermitesch PD bei jedem g — Kill-Test (7) feuert nicht); das ungerade Transfer-Spektrum ist bei jedem g SIMPEL (8 positive Eigenwerte, min. Abstand 2.3e−5; ehrlich: Beinahe-Verdopplung bei g = 8 ohne Schließen); Kontroll-Mitglied m = 2 indefinit — Bit-Selektion und Chiralität KO-LOKALISIEREN; Kill-Tests (3)/(6)/(7) bleiben formal auf A_hol (11 checks, ~2 s)

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Linked claims: WOIT.GAMMA.TOY.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

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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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