TUS OS as an Anchored Analog Quantum System

This paper identifies and formalises a system-level phenomenon in exact quantum representation: an independently constituted deterministic native system can admit multiple exact quantum-operational views whose minimum representation resources can depend sharply on a precommitted access contract, while the native system itself remains unchanged. The quantum representation is therefore neither constitutive of the native system nor a post hoc encoding selected to reproduce a prescribed quantum target. It is an exact operational representation of behaviour exposed by a declared contract on an independently fixed structural target. We introduce two mathematical definitions. An Analog Quantum View (AQV) is the distinguished operational-equivalence class containing every exact permitted finite-dimensional quantum realisation of the behaviour exposed by a nonvacuous, precommitted access contract, under complete persistent-resource accounting. An Anchored Analog Quantum System (AAQS) is an independently constituted, provenance-bearing native system admitting a nonempty contract-indexed family of such views while preserving native identity, structural quotient and protected provenance outside the quantum representation. The definition excludes circular construction, candidate-dependent post-selection, hidden side information, untyped resource comparisons and membership established solely through the universal orthogonal embedding. TUS OS is proved to be a proper Anchored Analog Quantum System on its 64-input abstract canonical corpus. Its independently defined native structural quotient is canonically isomorphic, as a complete deterministic transition-output system, to deterministic predictive equivalence and to the canonical six-bit carrier, with exact deterministic predictive minimum 64. On this same carrier-faithful structural target, within a fixed no-hidden-memory quantum representation category, the minimum Hilbert dimension depends sharply on the permitted operational access. The complete static Atlas has exact minimum dAtlasmin=4, whereas recovery-complete LANDING selected-line instrument access and recovery-complete GUIDANCE selected-line readout each have exact minimum dL,instrmin=dG,readmin=64. These yield two exact factor-16 fixed-target, fixed-category resource separations. Recovery-complete state-only common-CPTP access remains bounded by 32≤dCPTPmin≤64, while an exact quantum-classical hybrid exhibits a distinct Pareto-incomparable allocation of quantum and classical resources. The resulting TUS OS Anchored Analog Quantum System Theorem composes native recognition, predictive identity, contract-indexed quantum representation and conservative downstream interpretation without collapsing their domains. Predictive Synthesis and Analog Quantum Views are sibling constructions from independently fixed native identity: neither constructs the other, and neither reconstructs the Native Witness. Provenance and receipt custody remain outside the quantum target, while lawful Domain Binding and downstream human, rules-engine or AI interpretation preserve protected native identity and source authority and cannot strengthen the governing evidential ceiling. No claim is made of physical quantum execution, quantum ontology, encoding of question text as a quantum state, quantum advantage, universal answerability or model-independent correctness. A retrospective prior-art audit through 11 August 2026 identified no earlier or contemporary public disclosure whose documented properties were found to satisfy the complete AAQS conjunction. Subject to that audited scope, TUS OS is the first formally demonstrated Anchored Analog Quantum System identified in the public record examined. That final sentence is strong enough. I would not add “sole identified” there unless you specifically want maximum priority emphasis. “First formally demonstrated ... identified in the public record examined” says essentially what matters and is slightly cleaner for a Zenodo audience. Then immediately underneath the abstract in the Zenodo Description, I would add: Supporting mathematical papers This paper is the system-level synthesis and recognition paper for the TUS OS quantum-operational research programme. Its Recognition Theorem, predictive-synthesis results and access-contract resource separations build on the mathematical results established in the preceding papers below. Together, these papers constitute the supporting mathematical basis for the present work. Paper 1 — Canonical Tetrahedral Qubit-State Geometry in the TUS OS TriadXOR Completion, Receipt Verification and the Qubit-Geometric Semantic WitnessEstablishes the canonical tetrahedral geometry, unique XOR completion, qubit-SIC representation and emitted trine structure. Paper 2 — The TUS OS Operational CalculusClassical Construction of Exact Qubit Prepare–Measure Behaviour from a Receipt-Custodied Engine ArchitectureEstablishes exact full-carrier qubit prepare–measure behaviour from the independently specified deterministic finite construction. Paper 3 — From Finite Relational Structure to Qubit Operational FormAmbient Foundations, Canonical Subatlas, Exact Global Quantum Dimension, GUIDANCE Witness, Sequential Closure and Global Representation in TUS OSEstablishes the common static Atlas, its exact minimum Hilbert dimension 4, carrier reconstruction structure and the complete deterministic predictive-state minimum 64. Paper 4 — Technical Volume I — Formal Foundations and the Complete-Future CorpusEstablishes the frozen complete-future experiment language, exact statistical-separation structure, parity-resolved discrimination results and the 33-dimensional rational probability module. Paper 4 — Technical Volume II — Orthogonality, Process Closure and Native Triadic SynthesisEstablishes support-orthogonality propagation, common-CPTP process bounds, exact LANDING and GUIDANCE instrument/readout results, the 64-dimensional recovery-complete minima, the exact quantum-classical hybrid construction, and the native structural/predictive quotient correspondence. The present Paper 5 does not replace those proofs. It formalises the system class they collectively establish, proves TUS OS satisfies that class at the declared canonical scope, and composes the inherited results into the Anchored Analog Quantum System theorem. File integrity Paper 5 PDFTUS_OS_as_an_Anchored_Analog_Quantum_System_v1.0.pdf SHA-256:350860d10c3e34f1c53141756a587f525858f857b5e0d9ef8ab34774a37bc5f8 A separate SHA-256 checksum file accompanies the release: TUS_OS_as_an_Anchored_Analog_Quantum_System_v1.0_SHA256.txt TUS OS® is a trademark of Mark Whitlock.