🔐 PQC reconciliation · 2026-08-09

<aside> 🔐

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.

</aside>

<aside> 🛡️

NEW CIVIC BOUNDARY CITIZEN · FORMAL NON-IMPLICATION

A correct E47 spectral reconstruction is necessary evidence for implementations that use the E47 kernel, but it is not sufficient evidence for cryptographic security.

</aside>

Canonical statement

Let $S_{E47}$ denote successful validation of the finite-dimensional claims

$\dim V=125,\ \dim\ker K=47,\ P_{47}^2=P_{47}=P_{47}^\dagger,\ KP_{47}=0.$

Then the City records the non-implication

$\boxed{S_{E47}\ \not\Rightarrow\ \text{cryptographic hardness or post-quantum security}.}$

A security promotion requires an independently specified security notion, adversarial model, key and ciphertext algorithms, hardness assumption or reduction where applicable, attack analysis, and implementation-level evaluation.

Provenance

Canonical Google Drive monograph · Canonical finite-core GitHub dependency

Evidence boundary

The citizen prevents evidence inheritance from E0/E1 spectral algebra into untested cryptographic claims. It does not assert that a KKP-RSC construction is insecure; it states only that spectral consistency alone cannot establish security.

Evidence class

Transit credential

Credential: CIT-KKP-SV02-E0-CRYPTO-BOUNDARY

Route: Machine Certificates → Falsification Boundary → Citizenship Bureau