Quantum Mechanics Cannot Produce Time: A Minimal Temporal-Field Requirement for a Structurally Complete Ontology
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2025
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| _version_ | 1866902148380360704 |
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| author | Hall, Matthew |
| author_facet | Hall, Matthew |
| contents | <p>This paper challenges the claim that “everything is quantum” by demonstrating that quantum mechanics (QM) presupposes, but cannot generate, a continuous, ordered time parameter. Using textbook postulates and spectral constraints, it proves that time cannot be derived within standard QM due to Pauli-type operator obstructions and the dependence of all formulations on an external ordering variable. The work introduces a minimal temporal-field extension, <span><span>τ(r,t)=t+ϕ(r,t)</span></span>, which restores structural completeness and yields falsifiable predictions—quantised sidebands and tunnelling-rate shifts—arising from controlled temporal modulation. Experimental estimates for superconducting qubits under ≈ 1 kHz clock modulation (<span><span><span><span><span>ϕ</span><span><span><span><span><span><span>0</span></span></span><span></span></span></span></span></span><span>∼</span></span><span><span>1</span><span>0<span><span><span><span><span><span>−4</span></span></span></span></span></span></span></span></span></span>) predict sidebands at 10⁻⁴–10⁻³ of the carrier, within current microwave-spectroscopy sensitivity. The results imply that quantum theory depends on time as a deeper substrate: without time, its equations cannot even be evaluated.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17363311 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Quantum Mechanics Cannot Produce Time: A Minimal Temporal-Field Requirement for a Structurally Complete Ontology Hall, Matthew problem of time quantum foundations temporal field quantum time superconducting qubits time crystals <p>This paper challenges the claim that “everything is quantum” by demonstrating that quantum mechanics (QM) presupposes, but cannot generate, a continuous, ordered time parameter. Using textbook postulates and spectral constraints, it proves that time cannot be derived within standard QM due to Pauli-type operator obstructions and the dependence of all formulations on an external ordering variable. The work introduces a minimal temporal-field extension, <span><span>τ(r,t)=t+ϕ(r,t)</span></span>, which restores structural completeness and yields falsifiable predictions—quantised sidebands and tunnelling-rate shifts—arising from controlled temporal modulation. Experimental estimates for superconducting qubits under ≈ 1 kHz clock modulation (<span><span><span><span><span>ϕ</span><span><span><span><span><span><span>0</span></span></span><span></span></span></span></span></span><span>∼</span></span><span><span>1</span><span>0<span><span><span><span><span><span>−4</span></span></span></span></span></span></span></span></span></span>) predict sidebands at 10⁻⁴–10⁻³ of the carrier, within current microwave-spectroscopy sensitivity. The results imply that quantum theory depends on time as a deeper substrate: without time, its equations cannot even be evaluated.</p> |
| title | Quantum Mechanics Cannot Produce Time: A Minimal Temporal-Field Requirement for a Structurally Complete Ontology |
| topic | problem of time quantum foundations temporal field quantum time superconducting qubits time crystals |
| url | https://doi.org/10.5281/zenodo.17363311 |