Plucker anchor
v37_plucker_anchor.py · flavor
Read the original description and evidence links
Plücker anchor: ‖Pl(K)‖₁ = 11; pencil det(K+xQ); lepton ring
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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.
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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1 matching module · showing 1–1
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- 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.txtCheck the E₈ lattice
.venv/bin/python verification/v1_e8_glue.pyRead the individual checks and the final pass or fail result.
Run the registered suite
cd verification
../.venv/bin/python run_all.pyThe 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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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.