Entropy as Wave: The Second Law as a Local Gradient of Periodic Constraint Structure
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901688284086272 |
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| author | Sophia, Franny Philos |
| author_facet | Sophia, Franny Philos |
| contents | <p>The second law of thermodynamics is confirmed in every experiment ever conducted, yet its<br>empirical basis spans less than 0.000002% of cosmic history. All extrapolation beyond the<br>direct observation window rests on retrodiction from present-day constraint patterns,<br>mediated by the Past Hypothesis—an inference from the current entropy gradient, not an<br>independent observation. We show that this inference is formally underdetermined: a<br>monotonic trajectory and the ascending phase of a periodic trajectory are observationally<br>indistinguishable within the available window. We survey five independent research<br>programs—Penrose’s conformal cyclic cosmology, Barbour’s Janus Point, the Carroll-Chen<br>and Boyle-Turok symmetric cosmologies, Price’s defense of time-symmetric boundary<br>conditions, and the Page curve in black hole physics—that have each demonstrated, through<br>different methods and in response to different problems, that entropy increase is local,<br>emergent, and bounded rather than global, fundamental, and monotonic. Their convergence<br>constitutes the evidential basis for the wave hypothesis: that entropy increase is the ascending<br>local gradient of a larger periodic constraint structure. Observational data on cosmic entropy<br>production—peaking at redshift z ≈ 2 and decelerating since—favor an asymmetric<br>relaxation-oscillation waveform over a simple sinusoid. We propose the van der Pol oscillator<br>in the strongly nonlinear regime as a formal candidate and show that Adlam’s framework of<br>laws as atemporal constraints provides the philosophical infrastructure for periodic entropy.<br>The hypothesis generates testable predictions concerning entropy deceleration profiles,<br>time-varying dark energy, and CMB signatures.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19237573 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Entropy as Wave: The Second Law as a Local Gradient of Periodic Constraint Structure Sophia, Franny Philos entropy second law of thermodynamics arrow of time conformal cyclic cosmology Janus Point Page curve relaxation oscillation van der Pol oscillator constraint-based laws philosophy of physics <p>The second law of thermodynamics is confirmed in every experiment ever conducted, yet its<br>empirical basis spans less than 0.000002% of cosmic history. All extrapolation beyond the<br>direct observation window rests on retrodiction from present-day constraint patterns,<br>mediated by the Past Hypothesis—an inference from the current entropy gradient, not an<br>independent observation. We show that this inference is formally underdetermined: a<br>monotonic trajectory and the ascending phase of a periodic trajectory are observationally<br>indistinguishable within the available window. We survey five independent research<br>programs—Penrose’s conformal cyclic cosmology, Barbour’s Janus Point, the Carroll-Chen<br>and Boyle-Turok symmetric cosmologies, Price’s defense of time-symmetric boundary<br>conditions, and the Page curve in black hole physics—that have each demonstrated, through<br>different methods and in response to different problems, that entropy increase is local,<br>emergent, and bounded rather than global, fundamental, and monotonic. Their convergence<br>constitutes the evidential basis for the wave hypothesis: that entropy increase is the ascending<br>local gradient of a larger periodic constraint structure. Observational data on cosmic entropy<br>production—peaking at redshift z ≈ 2 and decelerating since—favor an asymmetric<br>relaxation-oscillation waveform over a simple sinusoid. We propose the van der Pol oscillator<br>in the strongly nonlinear regime as a formal candidate and show that Adlam’s framework of<br>laws as atemporal constraints provides the philosophical infrastructure for periodic entropy.<br>The hypothesis generates testable predictions concerning entropy deceleration profiles,<br>time-varying dark energy, and CMB signatures.</p> |
| title | Entropy as Wave: The Second Law as a Local Gradient of Periodic Constraint Structure |
| topic | entropy second law of thermodynamics arrow of time conformal cyclic cosmology Janus Point Page curve relaxation oscillation van der Pol oscillator constraint-based laws philosophy of physics |
| url | https://doi.org/10.5281/zenodo.19237573 |