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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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E8 transition bus

v782_e8_transition_bus.py · core

Read the original description and evidence links

E8.TRANSITIONBUS.01: der Transition-Bus-Struktursatz — **TRANSITION-BUS-TORSOR (35/35): die 240 Wurzeln des unimodularen hermiteschen Gauß-E8 sind 15 disjunkte Koordinaten-8-Rahmen über der Klassenabbildung V = L/(1+i)L; auf L/2L sind die 120 Wurzel-PAARE exakt die 120 q = 1-Punkte des Plus-Typ-Quadratraums, und die 8 Paar-Bilder jeder Klasse bilden einen kanonischen TORSOR unter v_perp (affiner F2³ ohne ausgezeichneten Ursprung); das Deck J wirkt als Translation um v; der OBSTRUKTIONS-Zensus ist beweisfest: KEINE deck-äquivariante Wurzel-Etikettierung R(E8) = V × (V∖0) existiert (−1 frei auf Wurzeln, trivial auf Paaren; J ist 4-Zyklus, Torsor-Translationen Ordnung ≤ 2); das eingefrorene symplektische Prädikat reproduziert ALLE 57600 geordneten Skalarprodukte inkl. Vorzeichengesetz und h-Verfeinerung; Spread-Schicht 240 = 5 × 3 × 16 mit dem q*-Selektor; der A15-Vergleich quantifiziert (A15 ist ein strikter Bus MIT kanonischem Startzustand, E8 beweisbar OHNE; Nicht-Orthogonalität exakt verdoppelt 26880 vs 13440); Kontrollen C1–C3 feuern (C3-Kontroll-Design-Korrektur offengelegt)

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Linked claims: E8.TRANSITIONBUS.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

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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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