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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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Entropic action bridge

v473_entropic_action_bridge.py · frontier

Read the original description and evidence links

GRAV.ENTROPIC.ACTION.01: the entropic-action bridge -- Bianconi's 'Gravity from entropy' (Phys. Rev. D 111, 066001 (2025); arXiv:2408.14391) quantified as an EXTERNAL CANDIDATE for the local volume action behind TFPT's parameter-free Einstein equation (v358/v359, typed 'equation of state, not a from-action quantisation' [O]). [E] carrier Hodge count: her Omega^{0,1,2} fiber on the five-slot carrier C^5 (not 4d spacetime, fiber 1+4+6=11) counts 1+5+10 = 16 = 2^(g_car-1) = dim S+_{D5}, Hodge-folded onto L^even C^5 (vector-space identity only). [E] coefficient match (the one quantitative pin): her weak-coupling L = 3 beta R - alpha L_m matched to 1/(16 pi G) = c3/(2G) fixes beta'_B = c3/6 = 1/(48 pi) exactly; the 6 = 3 blocks x 2 = p2 = |R+(A3)| (echo, not proof). [E] entropy potential: Lambda_G = (1/2 beta)Tr(G - I - ln G) >= 0, quadratic at the fixed point => eps_* = e^{-1/alpha} Q reproduces the v60 branch (3/4 pi^2) e^{-2/alpha} with exact target Tr Q^2 = 32 c3^4 = 1/(128 pi^4) = (2/3) delta_top ([C] until Q constructed). [E] Frullani: her log action = all-scale heat kernel, right genre vs S_rel,chi. [E] R^2 kill test: raw (c3/6)^2 vs Starobinsky 1/(12 c3^7) -- exact gap 3 (8 pi)^9 ~ 1.2e13 (13 orders); direct identification FALSE without a mechanism -- pre-registered. [C] compression conjecture P (G~ g~^-1) P = Delta^1/2 + operator Hodge items open; Lorentzian positivity not automatic (OS route sturdier). [O] nothing closes, zero knobs added. Mixed exact (Wolfram-mirrored) + one quadrature.

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Linked claims: GRAV.ENTROPIC.ACTION.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 Source section 13 Source section 14

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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

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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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