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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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Sheet pairing

v109_sheet_pairing.py · registry

Read the original description and evidence links

SHEET-PAIRING LEMMA (the first exact rep-theoretic anchor of QBL; ties Target B to the sheet ℤ₂): character-exact weight multisets from the D₅ spinor weights (±½)⁵ alone — NO SCALAR WITHIN A SHEET (zero-weight multiplicity of S⁺⊗S⁺ = 0: the odd slot count g=5 flips the sign parity of −w, a parity theorem of the five-slot code); THE SCALAR LIVES ACROSS THE SHEETS: S⁺⊗S⁻ = Λ⁰⊕Λ²⊕Λ⁴ exactly (256 = 1+45+210) with zero-mode grading (1,5,10) = the carrier code; SHEET-DIAGONAL = ODD FORMS: (S⁺⊗S⁺)∪(S⁻⊗S⁻) = 2Λ¹+2Λ³+Λ⁵ exactly (never scalar); the scalar-bearing tower tops at Λ^{2K} with K=2 — bilinear seam data reach exactly the Pascal-ladder degree; QBL reading [P]: the seam's single scalar kernel is necessarily a SHEET PAIRING (chirality-off-diagonal — the same ℤ₂ as the glue chiralities and branch kernels); remaining step: show the Calderón kernel supplies exactly this pairing

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Linked claims: CAR.PAIR.01
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4 Source section 5

Different evidence answers different questions.

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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The script index, figures and detailed research interfaces remain available below. This older technical overview preserves its original statements; use the current result inventory to follow later scope corrections.

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