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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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Coxeter coupling

v315_coxeter_coupling.py · frontier

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Couple or factorize? The order-30 Coxeter sectors couple as a cyclotomic field (v314 follow-up). GROUP FACTORIZES: gcd(5,6)=1 => Z/30 = Z/5 x Z/6 (direct product, group-decoupled). EXPONENTS FACTOR: E8 exponents=totatives(30)=totatives(5)x totatives(6), phi(30)=4*2=8=rank E8. FIELD COUPLES: [Q(zeta30):Q]=8=rank E8, Q(zeta30) is the compositum of the carrier Q(zeta5) (contains sqrt5) and the family Q(zeta3). GALOIS = mu4 x Z2: (Z/30)^x=(Z/5)^x x (Z/3)^x=Z/4 x Z/2 (order 8, max order 4); mu4=(Z/5)^x is the carrier Galois (the seam clock = the carrier golden-field Galois), Z2=(Z/3)^x the family Galois. sqrt5=phi+1/phi=Gauss sum in Q(zeta5). VERDICT: 30=5*6 does not dynamically entangle -- it couples as the cyclotomic compositum, bridge is Galois not dynamical

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Linked claims: COX.COUPLE.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

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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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