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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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Dhr sectors

v241_dhr_sectors.py · registry

Read the original description and evidence links

DHR.SECTORS.01 — particles = DHR superselection sectors: the carrier discriminant/anyon content and the v235/v237 condensation tower as an abelian MTC. Carrier form (Lean-verified, FORM.GLUE.01): on Z4×Z4, q(x,y)=(5x²+3y²)/8 mod 1, θ(a)=e^{2πi q(a)}. [E] 16 sectors = Z4×Z4 (= det K_carrier = dim S⁺), fusion = abelian group law. [E] bosonic/condensable ⟺ θ=1 ⟺ isotropic ⟺ 5x²+3y²≡0 mod 8 — the six elements {(0,0),(1,1),(1,3),(2,2),(3,1),(3,3)}. [E] condensation tower = v235/v237: Lagrangian ⟨(1,1)⟩ (order 4, self-dual) → 1 sector = (E8)₁; order-2 ⟨(2,2)⟩ → 4 = D8; carrier 16→D8 4→E8 1. [E] NEG: a non-isotropic anyon (1,0) is confined. [C] sector↔SM-multiplet map is the interpretation; the MTC is exact. 'Particles = stable defect sectors of the seam code' made precise.

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Linked claims: DHR.SECTORS.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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