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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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Cyclic n census

v620_cyclic_n_census.py · core

Read the original description and evidence links

QGEO.NCENSUS.01: der zyklisch-N-Zensus — **DER SEAM LÄSST N ∈ {3,5} ALS PRIMITIVE LORENTZ-ORDNUNGEN ZU, UND DIE COMPILER-KONSTANTEN PINNEN N = 3** (der erste v617-Bedrock-Rest, konditional gemacht): volle ∞-Verzweigung ⟺ gcd(N,4) = 1 ⟺ N ∈ {3,5}; Genus-Tabelle 1,3,3,6,7 (N = 2..6, Riemann–Hurwitz exakt); primitive Blatt-Dimension 3 genau für N ∈ {3,5,6}; **Chevalley–Weil: N = 3 hat BEIDE primitiven Blätter Lorentz ((1,2)/(2,1) — die v599/v613-Signatur), N = 5 ein Lorentz-Paar, N = 6 KEIN primitives Lorentz-Blatt (sein Lorentz-Gehalt = die Ordnung-3-Charaktere: N = 6 REDUZIERT auf N = 3)**; das Pinning: det_ℤ(1−deck) = Φ_N(1)³ = N³ — 27 für N = 3 (EXAKT die maschinell geprüfte v597-Konstante) vs. 125 für N = 5; Saturation 81 = 3⁴ vs. 625 = 5⁴: **N = 3 eindeutig**; der Rest wandert eine Ebene tiefer: warum der Compiler 3-adisch ist = N_fam = 3 (E8-Glue-verankert) (9 checks, <1 s)

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Linked claims: QGEO.NCENSUS.01
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5

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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

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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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