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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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Petersen sixthroot

v808_petersen_sixthroot.py · core

Read the original description and evidence links

CARRIER.PETERSEN.RADIAL.01 (+ TRANSPORT.SIXTHROOT.01): die K5-Kantenmaschine + der bit-exakte Sechstwurzel-Entscheider — **PETERSEN-RADIAL-EXACT + SIXTHROOT-SPECTRAL-ONLY (19/19 + 16/16): X = (−2,−2,−2,3,3) eindeutig primitiv spurfrei blockkonstant; E(K5)-Ladungszensus {−4: 3, +1: 6, +6: 1} = das SU(5)-Dekuple gegen die zertifizierte v774-Tafel; Petersen SRG(10,3,0,1) zertifiziert (|Aut| = 120-Zensus = S5); Distanzschalen (1,3,6) LADUNGSREIN; das Flavor-Hexagon = die Distanz-2-Schale [E neu] (explizite C6-Ordnung Kante für Kante); äquitabler Quotient [[0,3,0],[1,0,2],[0,1,2]] mit Hyperladungs-Eigenvektor (6,−4,1) → −2; spec(P⁶) = {1, 64/729, 1/729} = das deployte Transport-Spektrum EXAKT (v54/v56/v124); 10-dim-Vorhersage [H neu]: Multiplizitäten ×5 = g_car (schnell), ×4 = |μ₄| (langsam) — kein Korpus-10-dim-Operator. TEIL 2: B = (1/18)[[13,1,4],[1,13,4],[4,4,10]] (alle Einträge Compiler-Zahlen) ist die EINDEUTIGE symmetrische doppelt-stochastische PSD-Sechstwurzel in der Korpus-Basis; B⁶ trägt das Spektrum exakt, ist aber bit-gleich KEINER deployten Matrix (GL(3,Q)-konjugiert zu v486's M⁶ und zur Cusp-Diagonalform) — der Korpus friert das SPEKTRUM ein, nicht die Basis; stochastische Typen verschieden

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Linked claims: CARRIER.PETERSEN.RADIAL.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

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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.

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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