Accelerated Expansion from Dilating Radial Time in an Expanding 3--Sphere
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| Format: | Recurso digital |
| Langue: | anglais |
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2026
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| _version_ | 1866902339112140800 |
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| author | Sharif, Irtza |
| author_facet | Sharif, Irtza |
| contents | <p>This manuscript presents a kinematic alternative to the <strong>Lambda-CDM</strong> late-time acceleration model. We propose a framework where the observable universe is modeled as the three-dimensional surface volume of an expanding 3-sphere embedded in four-dimensional Euclidean space.</p> <h3><strong>The Core Hypothesis</strong></h3> <p>By introducing a global temporal lapse function, <strong>T(R)</strong>, we demonstrate that the appearance of late-time expansion acceleration may arise as a kinematic effect of radial time dilation rather than a dynamical vacuum energy component. The model relies on a clean separation of roles:</p> <ul> <li> <p><strong>Global Mapping:</strong> A temporal lapse governs how shell progression in the embedding radius maps to a homogeneous bookkeeping time.</p> </li> <li> <p><strong>Local Physics:</strong> Locally measured clock rates remain governed by standard special and general relativity.</p> </li> </ul> <h3><strong>Empirical Validation</strong></h3> <p>The model is validated against current scale-free observational constraints from major cosmological surveys:</p> <ul> <li> <p><strong>Transverse Data:</strong> Comparison with the cosmic microwave background (CMB) acoustic scale and angular baryon acoustic oscillation (BAO) measurements.</p> </li> <li> <p><strong>Radial Data:</strong> A least-squares fit to the anisotropic BAO lapse proxy using <strong>BOSS DR12</strong>, <strong>eBOSS</strong>, and <strong>Lyman-alpha forest</strong> datasets.</p> </li> </ul> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18732438 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Accelerated Expansion from Dilating Radial Time in an Expanding 3--Sphere Sharif, Irtza Physical cosmology Theoretical physics <p>This manuscript presents a kinematic alternative to the <strong>Lambda-CDM</strong> late-time acceleration model. We propose a framework where the observable universe is modeled as the three-dimensional surface volume of an expanding 3-sphere embedded in four-dimensional Euclidean space.</p> <h3><strong>The Core Hypothesis</strong></h3> <p>By introducing a global temporal lapse function, <strong>T(R)</strong>, we demonstrate that the appearance of late-time expansion acceleration may arise as a kinematic effect of radial time dilation rather than a dynamical vacuum energy component. The model relies on a clean separation of roles:</p> <ul> <li> <p><strong>Global Mapping:</strong> A temporal lapse governs how shell progression in the embedding radius maps to a homogeneous bookkeeping time.</p> </li> <li> <p><strong>Local Physics:</strong> Locally measured clock rates remain governed by standard special and general relativity.</p> </li> </ul> <h3><strong>Empirical Validation</strong></h3> <p>The model is validated against current scale-free observational constraints from major cosmological surveys:</p> <ul> <li> <p><strong>Transverse Data:</strong> Comparison with the cosmic microwave background (CMB) acoustic scale and angular baryon acoustic oscillation (BAO) measurements.</p> </li> <li> <p><strong>Radial Data:</strong> A least-squares fit to the anisotropic BAO lapse proxy using <strong>BOSS DR12</strong>, <strong>eBOSS</strong>, and <strong>Lyman-alpha forest</strong> datasets.</p> </li> </ul> |
| title | Accelerated Expansion from Dilating Radial Time in an Expanding 3--Sphere |
| topic | Physical cosmology Theoretical physics |
| url | https://doi.org/10.5281/zenodo.18732438 |