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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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Feedback decoder lean

v874_feedback_decoder_lean.py · core

Read the original description and evidence links

FLAVOR.FEEDBACK.NORMALFORM.01 + E8.WINDING.DECODER.01: **FEEDBACK-NORMALFORM-EXACT + WINDING-DECODER-EXACT (14/14 + 11/11, + Lean-Spiegel)** — zwei exakte Compiler-Theoreme: EINE ganzzahlige Basis P = [2·𝟙 | e₃ | R e₃] (det −4, SNF diag(1,2,2)) konjugiert die GESAMTE Windungslinie R_s = R + s 𝟙 e₁ᵀ exakt (symbolisch in s) in die Gain-plus-Companion-Normalform [[s+4,0,3],[0,0,−2],[4,1,5]]: Gain-Kanal s+|μ₄|, Companion-Block des Windungsquadrats q_wind = t²−g_car t+|Z₂|, Kopplungspaar (3,4) mit Schleifenprodukt N_fam·|μ₄| = 12 = dim g_SM — also χ_{R_s} = (t−s−|μ₄|)·q_wind − 12t, und bei s = 6 sind (15,40,20) die drei Gain-10-Ablesungen; die ehrliche Typisierung ist tragend: der Quotient ℤ³/Pℤ³ = ℤ₂² hat KARDINALITÄT 4 = |μ₄|, aber EXPONENT 2 — NICHT μ₄, keine Identifikation behauptet. Der Decoder: q_wind bildet das G31-Uhr-Alphabet {2,3,5,6} auf (−|μ₄|,−|μ₄|,|Z₂|,h(D5)) ab (q(2)=q(3) von der Palindrom-Achse g_car/2 erzwungen); D(y) = (y+4)²(y−2)(y−8) trägt die Budget-Koeffizienten (|Z₂|, Ω_adm=48, 2^g_car=32, 2^rk(E8)=256); und |μ₄|·q(|Z₂|)/|R(E8)| = −1/15 ist EXAKT der Walsh-Eigenwert des Gauß-Zensus — typisiert als AUDIT-Theorem, kein physikalischer Funktor. Lean-Spiegel: TfptCarrier/FlavorFeedback.lean (11 Theoreme, Standard-Axiome, kein sorry).

Read the original Python source

Linked claims: FLAVOR.FEEDBACK.NORMALFORM.01 E8.WINDING.DECODER.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 Source section 11 Source section 12 Source section 13

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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