Band-Limited Relational Time in Constrained Quantum Gravity
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2025
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| _version_ | 1866902075067072512 |
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| author | Cherry Speicher |
| author_facet | Cherry Speicher |
| contents | <p>We present a Lorentz-consistent, observer-relational construction of time for</p> <p>constrained quantum gravity in which “time” is the phase advance of an internal</p> <p>clock subsystem restricted to an observer’s finite spectral band. The construction—</p> <p>implemented via band-limited POVMs, modular-flow filters, or path-integral kernels—</p> <p>yields effective Schr¨odinger/Lindblad dynamics for conditioned subsystem states,</p> <p>defines diffeomorphism-invariant band-relational observables, and makes inter-observer</p> <p>consensus a function of spectral overlap and environmental redundancy. It preserves</p> <p>constraints, the Born rule, and no-signaling, while offering regularization in path</p> <p>integrals and computable operational times in minisuperspace. This provides a</p> <p>practical, testable bridge between canonical, relational, and algebraic approaches</p> <p>to the problem of time.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_16850966 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Band-Limited Relational Time in Constrained Quantum Gravity Cherry Speicher Time theory oscillation Physics Temporal dynamics Problem of time Wheeler–DeWitt Relational time <p>We present a Lorentz-consistent, observer-relational construction of time for</p> <p>constrained quantum gravity in which “time” is the phase advance of an internal</p> <p>clock subsystem restricted to an observer’s finite spectral band. The construction—</p> <p>implemented via band-limited POVMs, modular-flow filters, or path-integral kernels—</p> <p>yields effective Schr¨odinger/Lindblad dynamics for conditioned subsystem states,</p> <p>defines diffeomorphism-invariant band-relational observables, and makes inter-observer</p> <p>consensus a function of spectral overlap and environmental redundancy. It preserves</p> <p>constraints, the Born rule, and no-signaling, while offering regularization in path</p> <p>integrals and computable operational times in minisuperspace. This provides a</p> <p>practical, testable bridge between canonical, relational, and algebraic approaches</p> <p>to the problem of time.</p> |
| title | Band-Limited Relational Time in Constrained Quantum Gravity |
| topic | Time theory oscillation Physics Temporal dynamics Problem of time Wheeler–DeWitt Relational time |
| url | https://doi.org/10.5281/zenodo.16850966 |