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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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Quillen channel swap

v985_quillen_channel_swap.py · frontier

Read the original description and evidence links

ALPHA.QUILLEN.EXACT.01 [O-Update: die CHANNEL-SWAP-Facette auf endlicher Ebene durch mu4-Charakter-Graduierung aufgeloest] (Externe Master-Objekt-Review Welle 2, 2026-08-28; v974-Anker read-only): **die Deck-Graduierung loest den v974-Kernel-Swap exakt** — das Jump-Muster circ(2,-1,0,-1) hat mu4-Eigenwerte [0, 2, 4, 2] (Kernel k = 0), das Mark-Muster circ(0,1,2,1) hat [4, -2, 0, -2] (Kernel k = 2) — der v974-Befund symbolisch; der DECK-SWAP r -> r+2 (P0 <-> P2, P1 <-> P3) bildet das Jump-|Spektrum| EXAKT auf das Mark-Muster ab — nach dem Swap sitzen beide Kernel im selben Kanal, der graduierte Vergleich ist wohldefiniert; der UNGERADE Swap r -> r+1 passt NICHT (Must-Fail feuert); die graduierte det'-Differenz ist c3-FREI: gr(jump) - gr(mark) = log(ln2/4) exakt; das kanalweise Einheitsverhaeltnis ist UNIFORM = 4/ln2 in jedem gematchten Nicht-Null-Kanal (das v974-Doublet-Verhaeltnis zur vollen Uniformitaet erweitert). FIREWALL: nur endliche 4x4-mu4-Zirkulanten; Kontinuums-Bismut-Freed, KMS-Rigiditaet, die 2^-4/Quillen-Metrik-Kompensation und die Exaktheit von F_U(1) bleiben [O]; alpha^-1 unberuehrt; keine Marker-Bewegung.

Read the original Python source

Linked claims: ALPHA.QUILLEN.EXACT.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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