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Zenodo
2026
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| Online Erişim: | https://doi.org/10.5281/zenodo.20005788 |
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| _version_ | 1866901591141908480 |
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| author | Aufray, Vincent |
| author_facet | Aufray, Vincent |
| contents | <p><strong>Abstract:</strong><br><br></p> <p>The present paper (Paper XIV) proposes a precise and radical thesis: observable physical time is not a background dimension, but the <strong>dissipative integral following discrete topological ruptures</strong> of the TSTU scalar field. This thesis is formalized by the central equation:</p> <p><strong>t_phys = (1 / Lambda^2) * Integral[ phi_dot^2 * d_tau ]</strong></p> <p>where Lambda^2 = V(phi_min) represents the energy scale of the relaxed configuration. The strict distinction between the formal parameter (tau) and observable physical time (t_phys) resolves the apparent circularity of the TSTU program.</p> <p><strong>Key results developed in this work:</strong></p> <ol> <li> <p><strong>Origin of the Arrow of Time:</strong> A derivation of temporal asymmetry from the isotropic geometry of post-event dissipation, without requiring a pre-existing thermal state.</p> </li> <li> <p><strong>Multiscale Unification:</strong> Four distinct phenomena (atomic ticks, radioactive decay, gravitational collapse, and quantum measurement) are unified under a single topological mechanism.</p> </li> <li> <p><strong>Cosmological Consistency:</strong> Exact alignment with the quantified predictions of Paper VI (mu ≈ 1.018, E_G deficit in voids), where the field is reinterpreted as a dissipative projector generating time.</p> </li> <li> <p><strong>Numerical Validation:</strong> Through high-resolution Klein-Gordon simulations (Leapfrog integration), we establish a robust <strong>temporal rarefaction ratio of 1.343</strong> between the cosmic void (unscreened) and dense matter (screened) regimes.</p> </li> <li> <p><strong>Dynamic Signature:</strong> Numerical evidence shows that TSTU dynamics differ from a classical damped oscillator by an order of magnitude, indicating that time generation is governed by spatial radiation of scalar modes rather than local friction.</p> </li> </ol> <p>This paper establishes the <strong>numerical proof of concept</strong> for the TSTU temporal mechanism. While the current results provide a stable lower bound for time rarefaction, they define the technical agenda for <strong>Paper XV</strong>, which will focus on absolute SI calibration and high-order non-linear integration.</p> <p><strong>Supplementary Material:</strong> This deposit includes the full suite of Python validation scripts (<code>v5c</code>, <code>v5d</code>, etc.) ensuring the reproducibility of the reported ratios and stability tests.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20005788 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Æther XIV: Event-Projected Time and Dissipative Emergence of Temporal Order in the TSTU Program Aufray, Vincent Event Projected Time Æther Cosmology Chameleon Screening <p><strong>Abstract:</strong><br><br></p> <p>The present paper (Paper XIV) proposes a precise and radical thesis: observable physical time is not a background dimension, but the <strong>dissipative integral following discrete topological ruptures</strong> of the TSTU scalar field. This thesis is formalized by the central equation:</p> <p><strong>t_phys = (1 / Lambda^2) * Integral[ phi_dot^2 * d_tau ]</strong></p> <p>where Lambda^2 = V(phi_min) represents the energy scale of the relaxed configuration. The strict distinction between the formal parameter (tau) and observable physical time (t_phys) resolves the apparent circularity of the TSTU program.</p> <p><strong>Key results developed in this work:</strong></p> <ol> <li> <p><strong>Origin of the Arrow of Time:</strong> A derivation of temporal asymmetry from the isotropic geometry of post-event dissipation, without requiring a pre-existing thermal state.</p> </li> <li> <p><strong>Multiscale Unification:</strong> Four distinct phenomena (atomic ticks, radioactive decay, gravitational collapse, and quantum measurement) are unified under a single topological mechanism.</p> </li> <li> <p><strong>Cosmological Consistency:</strong> Exact alignment with the quantified predictions of Paper VI (mu ≈ 1.018, E_G deficit in voids), where the field is reinterpreted as a dissipative projector generating time.</p> </li> <li> <p><strong>Numerical Validation:</strong> Through high-resolution Klein-Gordon simulations (Leapfrog integration), we establish a robust <strong>temporal rarefaction ratio of 1.343</strong> between the cosmic void (unscreened) and dense matter (screened) regimes.</p> </li> <li> <p><strong>Dynamic Signature:</strong> Numerical evidence shows that TSTU dynamics differ from a classical damped oscillator by an order of magnitude, indicating that time generation is governed by spatial radiation of scalar modes rather than local friction.</p> </li> </ol> <p>This paper establishes the <strong>numerical proof of concept</strong> for the TSTU temporal mechanism. While the current results provide a stable lower bound for time rarefaction, they define the technical agenda for <strong>Paper XV</strong>, which will focus on absolute SI calibration and high-order non-linear integration.</p> <p><strong>Supplementary Material:</strong> This deposit includes the full suite of Python validation scripts (<code>v5c</code>, <code>v5d</code>, etc.) ensuring the reproducibility of the reported ratios and stability tests.</p> |
| title | Æther XIV: Event-Projected Time and Dissipative Emergence of Temporal Order in the TSTU Program |
| topic | Event Projected Time Æther Cosmology Chameleon Screening |
| url | https://doi.org/10.5281/zenodo.20005788 |