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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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Python runs in your browser using Pyodide. The first run downloads the runtime. Its output appears in the existing verification viewer, including any failure and the local reproduction command.

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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Carrier free q reconstruction

v567_carrier_free_q_reconstruction.py · flavor

Read the original description and evidence links

QGEO.QRECON.01: the No-Carrier-Reconstruction audit, Stage A — can Q (hence V and the v566 anchor self-code) be reconstructed WITHOUT carrier/anchor inputs? The circularity located: v11's uniqueness certificate uses row sums (4,5,6), column sums (9,5,1) and chi_Q with its 5 = g_car — all FORBIDDEN here. Allowed: the sheet involution, the winding normalisation Q(I+Σ) = 2N_fam·W, the A3 exponent spectrum {1,2,3}, the sheet-monodromy budget Q₋² = N_fam·P, nonneg integrality, the seam-line demand, and one family invariant (saturation index 81). Results (exact enumeration): 52 admissible → 28 parabolic — and ALL 28 code the SAME anchor (H' = I + Π_dom has char poly x³−4x²+5x−2, spectrum (1,1,2)): THE ANCHOR IS CARRIER-FREE; the 81-pin then selects exactly TWO members — the corpus Q (q32 = 2 = |Z2|) and its q32 = 0 twin — on which every classical carrier-free certificate coincides (anticommutator spectrum (6,−4,−2), commutator charpoly t(t²+12), det 3, saturation 81) while the ONE separating certificate is the carrier column budget (9,5,1) vs (9,3,1): exactly the forbidden input — the residual freedom is ONE binary sheet-block-coupling choice (resonance with the split/nonsplit alignment bit recorded as typed observation). Ablations: dropping the winding input widens 28 → 1376 at bound 3 (real load); bound-stable 6 → 9. Stage A only: the audit RELOCATES to GATE.QGEO.01 (derive the geometric inputs themselves) and to the binary selector; NO P2 reduction, markers untouched (9 checks, ~1 s)

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Linked claims: QGEO.QRECON.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

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

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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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