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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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Born square

v130_born_square.py · registry

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THE BORN SQUARE (the amplitude weight is h = N_fam = half the zero-mode count; the clock exponent p₂ = 2h is its Born square — the v128 multiplicity and the v129 weight are ONE object): EXPONENT BOOKKEEPING [I] — each zero mode trades a Gaussian integral for a moduli factor ∝ S^{1/2} (standard collective coordinates); with n_zero = 6 the transition AMPLITUDE scales as A ∼ (S/S_dS)^{n_zero/2} = (S/S_dS)³ and the PROBABILITY is its Born square Γ = |A|² = (S/S_dS)⁶ = the v129 entropy power law ⇒ h = n_zero/2 = 3 = N_fam, p₂ = 2h: the weight audit is DERIVED from mode counting, the factor 2 is the Born rule; THE THREE ARE THE SPHERE'S CONFORMAL DIRECTIONS [I]: dim of the l=1 eigenspace on S² = 2l+1 = 3 = the number of proper conformal Killing vectors of the sphere (the classic near-Nariai zero modes, Ginsparg–Perry/Bousso–Hawking class); the ×2 is the HORIZON PAIR = the SdS mass-line deck (v101): n_zero = |ℤ₂|×3 = 6 = p₂ — every factor an established object; CONSISTENCY [I]: the same 3 counts generations and the sphere's conformal directions; residue [P]: justify the per-zero-mode S^{1/2} normalisation on the Nariai instanton — textbook-class, no exotic object remains in R1

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Linked claims: HOR.CLOCK.07
Paper sections: Source section 1 Source section 2 Source section 3 Source section 4

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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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