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CITY-WIDE PHYSICAL-CLAIM PROMOTION POLICY · 2026-08-31
Physical Claim Promotion Protocol — Math-Substantiated Claims is now controlling across the Mathematical City. A validated result is not held merely because its conclusion is physical. When an explicit physical model and typed bridge close the deduction, the result is promoted immediately at that exact scope. Only genuinely empirical realization, measurement, experiment, or hardware-performance claims require E3/E4/H0 evidence.
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MATHEMATICAL CITY RELEASE · 2026-08-19
A correction-aware curation pass across Notion, Google Drive, the Documents routing layer, and Supabase has promoted four canonical child formalism pages:
Correction boundaries preserved: $L_{C_5^3}$ retains its rank-one constant kernel while the separate layer-rotation $L_{\mathrm{twist}}$ has rank 10; the 14-qubit $t=0.01$ high-fidelity label is superseded; the Hodge example is promoted only in its repaired chain-complex form; and the Newton-Mean $\kappa=0.376$ point remains stable while the old global interval classification is superseded.
Supabase now binds the new identities, E1 certificates, corrections, repaired discrepancies, theorem-graph edges, source artifacts, and publication bundles to the corresponding Drive and Notion authorities.
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LATEST CERTIFICATE · E47-JSSC-20260813 · PASS 14/14
The City now has one machine-checked joint operator route $125\to47\to5$: $A_{can}=K^2+11664(I-P_{sym})$, $\ker A_{can}=\operatorname{im}P_{can}$, and $\|\Gamma_{can}^n-P_{can}\|_2=(15/17)^n$. 🧾 RUB5-JSSC-20260813 — Joint Spectral–Symmetry Convergence Theorem · RUB5-C16 · Joint Spectral–Symmetry Convergence Theorem · Drive monograph
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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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Exact finite layer: $\dim V=125$, $\dim\ker[(C-6I)(C-30I)]=47$, $P_{47}^2=P_{47}=P_{47}^\dagger$, and $KP_{47}=0$. A regenerated generic-basis witness gives projector, conjugation, and finite AQSFT product-kernel residuals at floating-point scale.
Cryptographic boundary: a public concrete spectral operator yields its selected projector and kernel in polynomial time; a fixed public E47/ISSR instance is not a hardness assumption. The finite proof therefore does not imply post-quantum secrecy.
Conditional hybrid route: ML-KEM/MLWE may establish a secret seed $\sigma$ that derives a unitary $U_\sigma$; E47 then acts only as a keyed transform/filter. Any confidentiality theorem is carried by the stated ML-KEM/KDF/AEAD reduction, with protocol and implementation obligations remaining open.
Canonical monograph: E47–AQSFT Spectral Cryptography — Multi-Silo Reconciliation Monograph.
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The City’s next externalization is now tracked in E47 Publication Program — Reproducibility, External Benchmark, and L_IG.
It contains three distinct deliverables:
The benchmark remains not yet measured. Existing certificates and simulations remain supporting evidence, not the external empirical result.
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NEW EXECUTABLE CERTIFICATE · 2026-08-07
E47 Executable Validation Certificate — Exact Spectral Core and Continuum Evidence Boundary
37 PASS · 10 FORMAL REVISIONS · 8 CONSTITUTIVE REQUIREMENTS · 0 FAIL. The page carries the complete E47 selector and Richardson formalism, perturbation certificate, continuum audit, and attached Python/JSON/Markdown evidence.
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FIRST VISIT? START HERE.
Open START HERE — First Visit to the Mathematical City
Follow one memorable route: 125 → K → 47 → certificate → correction. You will reproduce one proof, inspect its Supabase certificate, open the GitHub implementation, and see how a real correction was made without erasing provenance.
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