Unity, Temporal Self-Continuity, and Depth (Paper II): Quantum and Open-System Operationalisation in Many-Body Settings
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2025
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| author | Nikroo, Elliot (author) |
| author_facet | Nikroo, Elliot (author) |
| contents | <div> <div dir="auto"> <div> <div> <p>This paper continues Paper I’s protocol-dependent onset criterion for interiority and carries it into the quantum, open-system setting. Each update step is analysed under an explicit protocol: a state description, a fixed subsystem split, a chosen sampling interval, and an exogenous record of influences treated as external. The temporal quantity conditions on this record, so persistence driven by external inputs does not get counted as internal retention.</p> <p>On that basis it defines quantum unity as a relative-entropy distance between the system density operator and the factorised state induced by the declared partition, and it defines quantum conditioned temporal self-continuity as the quantum conditional mutual information between a purification reference of the present and the successor slice, conditioned on the declared exogenous record. Two admissible update descriptions support the temporal construction: a Markovian CPTP channel over a declared interval with an explicit exogenous register, and a memory-bearing description via process tensors restricted to a declared intervention class.</p> <p>Depth is the conjunction with onset defined by exceedance above a protocol-calibrated threshold. Threshold calibration uses physically constrained null families that preserve successor-time structure whilst forcing the conditioned temporal term to vanish, including entanglement-breaking preparation nulls for conservative baselining. The many-body route is specified for dissipative spin-chain dynamics under Lindblad evolution, with tensor-network evaluation, declared approximation controls, and continuity-bound propagation from trace-distance error into entropy error for certified reporting.</p> </div> </div> </div> </div> <div> <div> <div> </div> </div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18064251 |
| institution | Zenodo |
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| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Unity, Temporal Self-Continuity, and Depth (Paper II): Quantum and Open-System Operationalisation in Many-Body Settings Nikroo, Elliot (author) <div> <div dir="auto"> <div> <div> <p>This paper continues Paper I’s protocol-dependent onset criterion for interiority and carries it into the quantum, open-system setting. Each update step is analysed under an explicit protocol: a state description, a fixed subsystem split, a chosen sampling interval, and an exogenous record of influences treated as external. The temporal quantity conditions on this record, so persistence driven by external inputs does not get counted as internal retention.</p> <p>On that basis it defines quantum unity as a relative-entropy distance between the system density operator and the factorised state induced by the declared partition, and it defines quantum conditioned temporal self-continuity as the quantum conditional mutual information between a purification reference of the present and the successor slice, conditioned on the declared exogenous record. Two admissible update descriptions support the temporal construction: a Markovian CPTP channel over a declared interval with an explicit exogenous register, and a memory-bearing description via process tensors restricted to a declared intervention class.</p> <p>Depth is the conjunction with onset defined by exceedance above a protocol-calibrated threshold. Threshold calibration uses physically constrained null families that preserve successor-time structure whilst forcing the conditioned temporal term to vanish, including entanglement-breaking preparation nulls for conservative baselining. The many-body route is specified for dissipative spin-chain dynamics under Lindblad evolution, with tensor-network evaluation, declared approximation controls, and continuity-bound propagation from trace-distance error into entropy error for certified reporting.</p> </div> </div> </div> </div> <div> <div> <div> </div> </div> </div> |
| title | Unity, Temporal Self-Continuity, and Depth (Paper II): Quantum and Open-System Operationalisation in Many-Body Settings |
| url | https://doi.org/10.5281/zenodo.18064251 |