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Receiver–Spectral Closure of Copy-Time Quantum Information: Finite Algebra, Gauge, Flavour, Global-Spectral Precision Predictions, and Hydrodynamic Reconstruction

Submitted:

19 May 2026

Posted:

20 May 2026

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Abstract
A finite receiver–spectral closure is constructed for copy-time quantum information. Thereceiver side defines an operational copy-time interface, validator-centred shell geometry, a six-cell certified contour, exact two-channel propagation, receiver-visible and receiver-null leakagelaws, hydrodynamic reduction, gap-length reconstruction, and platform-independent tests. Thespectral side gives the finite internal algebra, real structure, chiral module, unimodular gaugequotient, finite action terms, endpoint holonomies, flavour matrices, neutral Majorana data, anda reproducibility layer. The construction is organized by a primitive physical closure principle:retained finite degrees of freedom must remain distinguishable after receiver quotient, fixed-point-free copy opposition, oriented endpoint transport, and first-order opposite locality, withquotient-null spectators removed. This principle yields the six-cell contour and derives a singleoriented complex phase carrier, a pseudoreal opposition carrier, an irreducible three-endpointshield, primitive direct-sum composition, and observer-null spectator removal. The resultingfinite Wedderburn classification is exhaustive and selectsAF ≃C ⊕H ⊕M3(C).The endpoint denominator follows from the explicit action of half-turn transport on C6/I ≃Z3.For q = 2r, the transport is Qr, the forward orientation condition is r ≡1 (mod 3), oppositionseparation requires r odd, receiver faithfulness requires gcd(r,6) = 1, and proper flavour liftingrequires q >6. A primitive holographic ground principle then selects the unique nondegenerateentropy-saturating branch, r= 7 and q= 14; the arithmetically admissible values q= 26,38,...are higher-winding excitations and not primitive ground sectors. The same finite construc-tion gives a neutral Dirac generator DνF, an entry-by-entry Majorana matrix Mν = U∗qΛνU†q,θPMNS13 = π/21, a negative leptonic Jarlskog invariant, and a normal-ordered neutrino masssum imi = 0.072810131 eV. The receiver gauge-exchange sector, chiral spoke sector, anomaly-free matter completion, rest-gap reconstruction protocol, hydrodynamic likelihood, CKM/PMNSholonomy exposures, electroweak prediction covariance, explicit falsification stack, and global-spectral uniqueness audits are given in the main text and supplementary information. Numericaltables, operator-trace ledgers, holographic ground-denominator audit, Morita-rigidity audit, pre-diction ledgers, flavour prediction ledgers, hydrodynamic reconstruction files, and supplementarydata are provided.
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