Theoretical analysis reveals fundamental limits between record fan-out and timing uncertainty in quantum systems, highlighting exact trade-offs between memory retention and temporal alignment.
Can a physical record control an independent timing-uncertainty floor? This framework separates four objects that are often treated as one: a completed historical event, a presently accessible memory, a coherent-recovery verifier, and a central timing-alignment projector. \[ Nrec(T_2)≥ Nrec(T_1), Nrec≡ Racc ≡ S(ρ_R). \] A local trace-preserving reset of a discarded record cannot restore unconditional system coherence: \[ { Tr_R\![(I_S⊗ E_R)(ρSR)] =Tr_RρSR. } \] For correlated record fan-out, the physical packet is governed by joint Uhlmann fidelity. If the records are independently certified, the squared fidelity factorizes: \[ { FR_1⋯ R_N² =∏ⱼ₌₁NFR_j². } \] The pair-conditioned Uhlmann verifier \(M_Uᵒᵖ\) and the timing-alignment projector \(Palign\) live on different spaces. Their connection is a physical theorem target, not a notational identity: \[ { W^ M_UᵒᵖW=Palign. } \] After that intertwining, complete terminal reconstruction, centrality, transfer calibration, finite-boundary control, and frontier attainability, the registered QTT consequence is \[ { η_T=Fⱼₒᵢₙₜ², U_T^=1-Fⱼₒᵢₙₜ², Vcoh^+ U_T^=1. } \] The paper supplies the record mismatch complex, centrality gate, variational coherent and timing envelopes, a five-rung source-blind ladder, topology twins, hidden-record controls, independent-technology replication, and a five-outcome wrong-falsification firewall. Scientific status CLOSED / STANDARD: local-reset invariance, joint-fidelity fan-out, and the Uhlmann coherent envelope when control completeness is certified. NO-GO: a universal fixed mixed-fidelity projector and an exact finite-matrix canonical commutator. CLOSED CONDITIONAL QTT REPRESENTATION: central timing direct-sum theorem. REGISTERED PROSPECTIVE CONSEQUENCE: the physical record-to-timing complement. EXISTING-DATA VERDICT: ineligible; no public archive presently contains the independent timing projector and bridge packet. Public anchors Quantum Traction Theory: Main Book Observation as Access Entropy and Second-Law Reference Theorem Sealed record-fan-out timing-envelope test Measurement/access derivation atlas Access-Law observatory The release contains the paper PDF as the default preview and a reconstruction archive with LaTeX source, figure, verifier, machine receipt, scientific and adversarial audits, render audit, metadata, and checksums.
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Attar Ali (2026) studied this question.
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