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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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E8 degree joint

v437_e8_degree_joint.py · registry

Read the original description and evidence links

E8.DEGREE.JOINT.01: a CONSOLIDATION of v6/v66/v355/v431 deriving more from the E8 Casimir degrees WITHOUT crossing the v354/v355 anti-numerology line -- no new per-degree coincidence, only a joint lock. [E] E8 IS FIXED BY ITS DEGREE MULTISET: from deg(E8)={2,8,12,14,18,20,24,30} alone -- rank=#deg=8 (=2nd deg), h=max=30, #pos roots=Σexp=120, #roots=240, dim=248, |W|=∏deg=696729600, Σdeg=128=2^7=dim S^+. [E] THE JOINT QUADRATIC: the two structural integers (g_car,N_fam) are the UNIQUE root pair of x²-(rank E8)x+(h/2)=x²-8x+15=(x-3)(x-5) -- sum=rank E8=8 (rank-fill, v6), product=h/2=15=g_car·N_fam (2 g_car N_fam=h, v431); {3,5} the unique factor pair of 15 summing to 8, so BOTH are forced together by two degree-invariants. [E] the 3 mapped degrees {2,8,30}=min/rank/max (the canonical invariants); g_car=5=max prime of 30. [E] DISCIPLINE: no new per-degree mining; the 5 non-primary degrees keep their v431 homes. Exact integer/lattice [E], mirrored in wolfram/tfpt_readouts_extension.wl.

Read the original Python source

Linked claims: E8.DEGREE.JOINT.01
Paper sections: Source section 1 Source section 2 Source section 3

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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