Verification status and provenance

The hypercharge ablation is a separate, previously checked result: nine minimally closing sets among 128 subsets of seven conditions. The K3 bound rests on the geometric theorems mentioned; elementary computational checks do not replace their hypotheses.

Empirical status: this compilation analyzes no new dataset and confirms no universal EEML law. Old numerical derivations do not retroactively become valid through the new architecture.

In this revision, the following were checked again: the reparametrization under \(g=\lambda^2\) including \(F_{\lambda\lambda}(0)=3\) via central differences, the monotone finite positive-operator check \(Z=1+e^{-g}\), the rewriting of the curvature costs including the Euler term, the four-dimensional scaling factor and the 331 intersection with the QCD bound. All five pass. The scaling argument in fact shows why boundedness from below does not prove coercivity.

These are algebraic and finite model checks. The execution of the external recalculations has not been independently inspected. No new K3 metric, quantum gravity solution, 6D anomaly calculation or empirical test has been produced. The five checks therefore do not justify an upgrade to ‘proven universal law of nature’.

The 58-dimensional K3 metric family has been checked against a primary source. The sign conditions, maximum versus supremum and possible divergence of the macro-normalization remain explicit.

With the subsequently supplied C1 definition, the inverse stability line, the central mass distance, the four error contributions and both conversion scenarios have been recalculated directly. Back-substitution into the chosen forward line returns the input Higgs mass. The correct scenario distance is 1.41–2.24. This check confirms the arithmetic under the assumptions made, not the statistical model for the top-mass conversion and not EEML as a law of nature. No new NNLO calculation, empirical test or external preregistration has been carried out.

Newly carried out: eight exact rational Hodge block checks, 256 nonzero integer flux pairs for the minimum and the convexity, two examples of equal minimum cost with different x*, five relaxation trajectories and the one-loop check of the free initial value. All checks pass. The dynamical calculation uses the explicitly chosen gradient flow. These are checks of the described toy model, not a spectrum of a concrete K3, not a complete compactification and not a prediction of 137. The text on the spectral action and the geometric kinetic matrix has been checked against primary sources.

Newly checked: five exact matrices with equal flux cost and different probe norms, a massless combination with a nontrivial axion charge matrix, and all nine positive integer flux assignments of the explicitly bounded IIB subfamily. For each assignment, even quantization, the two complex flux equations, charge cancellation, the norm minimum and the product-of-cosh identity have been checked. For the last identity, 25 rational ratios of s/s₀ and t/t₀ have additionally been recalculated for each assignment. All checks pass.

The dimensions 38 and 54 follow from the described geometric count, not from a computed K3 spectrum. The zero values of the normalized no-scale potential hold within the leading description, not including all string corrections. No duality classification, new 10D solution, realistic photon spectrum or α_em(0) calculation has been made. It is precisely the sharpened closure definition that preserves the distinction between those missing steps and the passed checks.

On 28-09-2026, the four structural negative controls were carried out, together with a strict replicator reference, the weak-dominance example and the inflow example without a cycle. For the integrated replicator trajectory, two time steps were compared. The dephasing and two-qubit checks for H_R were verified analytically and numerically. The K3 basis conversion was recalculated exactly; the impossibility of sign agreement follows from the given general algebra, not only from a finite parameter sample.

The new check outcomes appear in full alongside their models in this text. The literature survey for Physarum did not yield a fully verified dataset for D1-P. No Physarum experiment, independent 6D expert check or new collapse data analysis is claimed.

Additional check (3D memory and Hawking–Page): VI.G distinguishes between theoretical constructions, numerical lattice results and gravity calculations. The local coefficient \(11/6\) within the stated field content and the formula \(\delta T=\Delta F_1/\Delta S_0\) have been checked. The free-energy correction itself has not been fully calculated. The coefficient \(0.458\) has not been recorded as a measurement of an EEML or topology term.

Latest candidate elaboration (EEML-PT 0.1): a dynamical graph model has been added, with a Hermitian Hamiltonian, conserved excitation number, a conditional energy crossing at \(J/\Delta_b=1+1/\sqrt2\), thermal graph probabilities and a counter-check for blocked dynamics. The calculations are given in full in VI.F. This is a new proposal within the dossier, related to existing Quantum Graphity models; not a claim of priority in the literature or proof that the space of the universe is a graph.

Brought together here are the integrated working version, the multiplicity note, the process–weight check, the K3 bound check and the hypercharge/quantum consolidation. The language of operation and eight core rules are summarized explicitly. The additional review of 28 September has been incorporated with visible limitations and checked primary sources. Public sources appear directly alongside the claims. Their results support the named existing mathematics and physics, not automatically EEML as a new law.

Current conclusion: EEML is being developed as “a theory of how it works”. The current content is a four-layer framework with conditional results and explicit process tests. D1 investigates independently measurable conditions for elimination; H_R adds a separate information-conservation hypothesis that is testable to a limited extent. The four negative controls show concretely which quantities the current package does not fix. The comparison with entanglement equilibrium yields no derivation of the positive K3 costs. Empirical execution and a distinctive process prediction of its own remain the next substantive step; a universal EEML law has not been proven.