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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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Gaussian ramification ladder

v833_gaussian_ramification_ladder.py · core

Read the original description and evidence links

GAUSSIAN.RAMLADDER.01: die (1+i)-Verzweigungsleiter — die vier dokumentierten Rollen des verzweigten Gaußschen Primelements π₂ = 1+i sind EIN maschinell geprüftes Objekt mit vier Sprossen, jede von Grund auf re-zertifiziert — **RAMIFICATION-LADDER-EXACT (33/33): SPROSSE 1 (Norm-Verdopplung): N(π₂) = 2, (π₂²) = (2); auf dem Gaußschen E8-Gitter (1+J)ᵀ(1+J) = 2I₈ EXAKT; min L = 4 per Zensus, die Nullklasse von L/(1+i)L trägt KEINE Wurzel (0/240), 240 = 15 × 16, Elementarteiler (1,1,1,1,2,2,2,2), Index 16 = N(π₂)⁴; SPROSSE 2: L/(1+i)L ≅ F₂⁴ mit dem Deck J TRIVIAL wirkend — der 4-Bit-Adressraum; SPROSSE 3 (der nicht-spaltende Jet): Z[i]/(2) ≅ F₂[ε]/(ε²) (Ring-Iso EINDEUTIG unter allen 24 Bijektionen), W = L/2L frei vom Rang 4 über den dualen Zahlen, Deck = JET-EINHEIT 1 + ε, und von ALLEN 65536 linearen Schnitten sind EXAKT 0 deck-äquivariant — die Kein-kanonischer-Ursprung-Obstruktion IST Nicht-Spaltung (v803); Plus-Typ-Form 136/120, die 120 Wurzelpaare SIND die q = 1-Schale; SPROSSE 4 (der metaplektische Lift): ζ₈ = (1+i)/√2, (1+J)² = 2J, (SH)³ = ζ₈I, (T₃K₃)³ = iI = DAS DECK (v798); exakter Z[ζ₈]-BFS-Zensus: |C₂/μ₈| = 11520 = 16 × 720, NULL Galois-gemischte Klassen, C₂ = K ∪ ζ₈K (v783 [E]); Zeugen-Paritäten χ(H⊗I) = 1 (das RM-CSS-ζ₈-Phasenbit), χ(H⊗H) = χ(CZ) = 0. Kontrollen feuern (der SPALT-Ring F₂×F₂: 0 Isos; die spaltende Selbsterweiterung: 65536/65536 Schnitte). Exakt Integer/sympy; keine Floats, kein RNG.**

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Linked claims: GAUSSIAN.RAMLADDER.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
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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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