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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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Markov qca dilation

v984_markov_qca_dilation.py · frontier

Read the original description and evidence links

DYN.UNITARY.DILATION.01 [O-Update: das DISKRETE Bein konstruktiv realisiert] (Externe Master-Objekt-Review Welle 2, 2026-08-28): **das exakte Kollisionsmodell — B^n als reduzierte Dynamik eines exakt unitaeren, strikt lokalen QCA-Bandes** — der Kollisionsschritt V = C (U_B (x) I) mit dem mod-3-Rekord C|j,k> = |j, j+k> ist unitaer auf System + Ancilla; die STINESPRING-IDENTITAET Phi(rho) = Tr_A[V (rho x |0><0|) V^dag] = sum_j P_j U_B rho U_B^dag P_j gilt als symbolische Operatoridentitaet (Kraus-Vollstaendigkeit sum K_j^dag K_j = I); diag Phi(diag p) = B p exakt mit verschwindenden Nebendiagonalen; SECHS frische Ancillas geben diag Phi^6 = B^6 p = T p exakt — das v977-Makro-Gate als reduzierte Dynamik eines Radius-1-Kollisionsbandes. MUST-FAIL FEUERT: der geschlossene Unitaer hat |U_B^2|^2 != B^2 (31/54 vs 0.2450) — die Dilatation ist notwendig. TYPISIERTE BEMERKUNG (Probenbefund GEGEN den Review-Text): eine WIEDERVERWENDETE mod-3-Addierer-Ancilla gibt diag = B^2 p weiterhin exakt (der Rekord j1+i bleibt unterscheidbar) — frische Ancillas braucht man fuer die Kohaerenzen, nicht fuer die Populationen. Der konjugierte Zweig V* dilatiert dasselbe B (sgn J = +-1/27 bleibt klassisch unsichtbar; Auswahl bleibt [O]). FIREWALL: nur das diskrete endliche Bein; quasi-lokale Hamilton-Dilatation, OS-Fortsetzung zu e^{-itH} und jede 3+1D-Lesart bleiben [O]; keine Marker-Bewegung.

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Linked claims: DYN.UNITARY.DILATION.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

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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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