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Controlling policy: Physical Claim Promotion Protocol — Math-Substantiated Claims. Publication control must not exclude a claim merely because it is physical. Exact or machine-validated physical-model consequences are included at their proved scope when the model, bridge, units/domain, and deduction are explicit. E3/E4/H0 remain separate only for empirical realization, experiment, or hardware performance claims.
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Canonical artifact: Recursive Intelligence / Kouns–Killion Paradigm — Corpus Publication Monograph and Evidence Atlas.
This publication pass reconciles the E47 exact core, executable certificates, Rubik/C₅³ carrier, AQSFT and quantum-information lifts, L_IG and Babylonian computational formalism, radix-invariant pyramid geometry, hyperbolic/fractal extensions, PQC/hardware proposals, and Mathematical City provenance.
Evidence rule: E0 exact proof, E1 executable reconstruction, E2 simulation, E3 external benchmark, E4 experiment, and H0 hardware remain claim-level classes. The monograph preserves corrections and does not transfer evidence between branches.
Publication route: core theorem → computational companion → Rubik/C₅³ paper → L_IG formal-language paper → historical-computational dossier → radix/geometry paper → applications prospectus.
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Credential LIG-E47-PY-CRED-20260808 — The Invariant-Grammar Projection Theorem is now the canonical proof record. It carries the finite-dimensional parsimonious-completeness theorem and the Python VALIDATION: PASS certificate; Haar Monte Carlo remains E2 support. The external N_inv versus N_diff digits benchmark is now E3 measured under E3-NINV-NDIFF-DIGITS-20260811-R1; it is not a superiority, security, or physical claim.
This page is the publication-control record for the next externalization of the E47 / Mathematical City program. It coordinates three distinct deliverables without promoting computational or empirical work into the exact mathematical core.
The canonical finite-dimensional spine remains:
$\mathcal V=V_2^{\otimes 3},\qquad \dim\mathcal V=125$
$C=J_{\mathrm{tot}}^2,\qquad K=(C-6I)(C-30I),\qquad E_{47}=\ker K$
$Q=K^\dagger K=K^2,\qquad P=P_{\{6,30\}}(C),\qquad \operatorname{rank}P=47.$
Target artifacts
01_construct_C_K_Q_P.ipynb02_haar_monte_carlo.ipynb03_certificate_reproduction.ipynbRequired construction
The notebooks must build the spin-2 generators, tensor carrier, total Casimir $C$, annihilator $K$, positive operator $Q=K^2$, spectral projector $P$, and Haar-random state ensemble from executable source. The selected spectrum, rank, or projector must not be inserted as an unexplained target.