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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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Cyclotomic norm triple

v418_cyclotomic_norm_triple.py · core

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The cyclotomic norm triple: the carrier split (3,2) read in the three atom-rings gives (7,13,55)=(scalaron, Delta_Q, quark numerator), and the missing carrier-5 clock of v417 is found as the 4x4 Phi5-companion C5. C5 has chi=x^4+x^3+x^2+x+1, C5^5=I, tr=-1, and the golden ratio is its real-part data (2cos(72)=1/phi, 2cos(144)=-phi; output-side, v313/v349; dim 4, not 3 -- refines v417's gap); N_Z[zeta5](3+2 zeta5)=det(3I+2 C5)=55=5*11=g_car*||Pl(K)||_1=quark numerator (v410/v411); the triple det(3I+2 Comp(Phi_n))=(7,13,55) for n=3,4,5 over Z[omega],Z[i],Z[zeta5] (atoms 3,2,5, v416) is one (3,2)-generated family; NEG control: the anchor (5,4)->(21,41,461), 21=N_omega(5,4) and 41=10b1 named (v222) but the carrier ring 461 prime/un-named, so the carrier ring separates (3,2)->55 from (5,4)->461; HONEST: (3,2) is FORCED (v14) not unique, the clean splits are {(2,1)->(3,5,11),(3,2)->(7,13,55)}; the sharper reading: only (3,2) spans three physics sectors (gravity/flavor/masses), the unique cross-sector seed, while (2,1) is all-core.

Read the original Python source

Linked claims: ARITH.NORMTRIPLE.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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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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