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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.

Read the Python source

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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Seam edge scaling

v444_seam_edge_scaling.py · frontier

Read the original description and evidence links

SEAM.EQUIV.CONTINUUM.EDGE.01: the CHIRAL EDGE scaling-limit MOTOR -- the edge half of the one SEAM.EQUIV.01 continuum residual, attacking exactly the step v439 left open. On the SAME explicit v367/v368 p+ip collar it shows the lattice edge carries the kinematic AND conformal data of a chiral c=1/2 Majorana CFT, converging under refinement. [E] CHIRAL LINEAR EDGE DISPERSION: the in-gap branch is linear near its zero-crossing (top v=0.983, R^2=0.9999) and the two boundaries carry OPPOSITE velocities -- one chiral Majorana per edge. [E] ALGEBRAIC EDGE TWO-POINT: the equal-time edge correlator decays as r^{-η} with η=1.00 (the chiral free-fermion CFT exponent) -- a CRITICAL edge. [E] EXPONENTIAL BULK (neg control): the bulk-row correlator decays exponentially (ξ~1.1) -- only the edge is critical. [E] TRIVIAL-PHASE NEG CONTROL: M=3 (no edge) has an exponential edge-row -- the power law is the topological edge, not the geometry. [E] SCALING-COLLAPSE: η is N-stable (1.001±0.007) and the edge profile is Cauchy-convergent under refinement (successive spread shrinks 0.028→0.013, Nx=36..60). [C] EDGE CENTRAL CHARGE: η=1 ⇔ one chiral Majorana (c=1/2)/edge, so the 16-copy carrier has a chiral c_-=8 edge CFT (=(E8)_1, c_-=g_car+N_fam). [C]/[O] grounds the EDGE half of the cited MMST scaling limit (v336) the way v439 grounds the bulk; SEAM.EQUIV.01 stays [O]. Python-only (numpy).

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Linked claims: SEAM.EQUIV.CONTINUUM.EDGE.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

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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.

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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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