Quantum Information Copy Time and Information Closure in Receiver-Side QICT: Topological Lift, Family Holonomy, and Precision Threshold Signatures
- Publicado
- Servidor
- Preprints.org
- DOI
- 10.20944/preprints202604.0323.v2
We construct an explicit receiver-side linear closure of the copy-time core of QICT anddetermine its full receiver-accessible sector through quadratic order in momentum. Theconstruction is organized so that the operational copy time remains the only foundational inputinherited from QICT, whereas validator selection, shell geometry, link fields, receiver maps,and benchmark dynamics are introduced as explicit closure data. Under this assumption set,we prove that a calculable and falsifiable receiver-side extension must contain five structuralingredients: a validator sector, a certified transport support, a compact local covariance law,a finite-dimensional benchmark normal form, and a declared receiver map. We then showthat these ingredients are also sufficient to render the inverse problem well posed.Within this closure class, we derive equivariant validator selection on homogeneoussubstrates and generic uniqueness after perturbative symmetry lifting; identify the six-cellcontour as the minimal nearest-neighbour transport cycle on a codimension-one receivershell with opposite pairing; and prove that this local backbone is unaffected by the additionof nonlocal chords. Compact covariance on Hermitian triplet and doublet fibres yields aring sector with one Abelian and eight colour gauge connections and a spoke sector withSU(2)L ×U(1)Y structure. For a minimal one-family chiral completion, gauge-invariantYukawa couplings together with vanishing gauge and mixed gravitational anomalies reproducethe standard hypercharge pattern. In a real two-channel six-cell benchmark, we derivethe exact propagator, the visible/receiver-dark leakage laws relative to a chirality-selectivereceiver, an invariant receiver-dark sector at vanishing chirality mixing, and the correspondinghydrodynamic limit.The low-momentum receiver-accessible sector reduces to a universal five-parameter normalform, from which (µ,κ,ν,∆,m) are reconstructed algebraically from five spectral observables.We further derive a redundant falsification stack based on odd dispersion splitting, universalquadratic visible-curvature onset, gap-closure identities, a gap-length mass law, and anoperational reduced-rest-gap-time extraction protocol with explicit front-delay subtractiontogether with distance-collapse and amplitude-collapse diagnostics. The resulting frameworkis intentionally bounded: it provides an explicit and experimentally testable effective sector,together with a sharp theorem on what cannot be inferred from receiver-side linear data alone.As a separate extension, we formulate a branchwise topological-lift ansatz for dressed integermass ladders and state the corresponding integer-core, cross-platform, and compositeness tests.