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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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Dual normal selector

v136_dual_normal_selector.py · registry

Read the original description and evidence links

THE DUAL-NORMAL SELECTOR ((d,n) pins R COLUMNWISE; the R4′ residue is bounded): COLUMN NORMAL FORM [I]: d·c_j = a_j and n·c_j = 8δ₁ⱼ for the columns of R; the common kernel of (d,n) is the primitive vector (6,8,7) (audit: p₂, rank E₈, scalaron-7), so within the address box {0..5}³ each line contains at most one lattice point — brute-force census (216 per column): c₁ = (1,1,2) = a, c₂ = (3,5,5), c₃ = (0,2,3) are each the UNIQUE solution, so R4′ shrinks from a 6⁹ matrix census (v121) to three 1-of-216 column problems: (d,n) ⇒ R; HONESTY [I]: K is NOT pinned directly (dᵀK = (1,1/2,1), nᵀK = (14,1,−6)); det K = 4 follows via the diamond (μ₄ wall, v135); SPECTRAL NORMAL [I]: the A₀* zero mode v = (−√2,3,−√5)/3 has signed squares = −(2,−9,5) = −(|ℤ₂|, −N_fam², g_car), with NEW atoms ‖v‖² = 16/9 (16 = dim S⁺) and adj(A₀*) = (2/9)·P_v where 2/9 = the SdS entropy curvature; SIGMA RELATIONS [I]: σ·1 = −|ℤ₂|, σ·a = N_fam, n·σ = 121 = ‖Pl(K)‖₁² (the v119 audit constant); ORBIT CONTROL [I]: |W(A₃)| = 24 exactly, the only real orbit images of σ are its signed copies, NO image proportional to n — the naive cofactor/orbit lift FAILS as the review predicted: the step σ → n is a genuine mechanism beyond the monodromy group; R4′ RESTATED [P]: derive the PAIR (d,n); then R is forced columnwise

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Linked claims: GATE.UWALL.10
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 Source section 12

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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

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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