| _version_ | 1866901256005484544 |
|---|---|
| author | Piya, Abhay |
| author_facet | Piya, Abhay |
| contents | <p>We present <strong>Inverse Time Limit Theory (ITLT)</strong>, a geometric framework based on the principle that spacetime curvature saturates at a fundamental density scale:</p> <p><strong> ρ* = βMₚ⁴</strong></p> <p>This principle provides a minimal extension of Einstein gravity without modifying the <strong>Einstein</strong>–<strong>Hilbert</strong> action or introducing additional fields. In the static, spherically symmetric sector, it yields a regular black hole solution described by the metric function</p> <p><strong>f(r) = 1 − (2Mr²)/(r³ + a), </strong></p> <p>where<strong> a = M/ρ*</strong></p> <p>This spacetime is free of curvature singularities, contains a finite-curvature core, and asymptotically recovers the <strong>Schwarzschild</strong> solution. </p> <p>All curvature invariants remain finite, and the spacetime is <strong>geodesically</strong> <strong>complete</strong>.<br>The same curvature saturation principle extends naturally to homogeneous <strong>cosmology</strong>, leading to a modified <strong>Friedmann</strong> equation in which the Hubble parameter remains finite at arbitrarily high densities. This eliminates the classical Big Bang curvature divergence while preserving standard cosmological evolution in the low-density limit. The theory predicts the existence of a universal curvature bound, nonsingular black hole interiors, and Planck-scale <strong>remnant</strong> formation.<br><strong>ITLT</strong> provides a unified and purely geometric mechanism for singularity resolution in both gravitational collapse and cosmology, governed by a single universal curvature scale, while remaining fully consistent with Einstein gravity in the weak-curvature regime.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18800420 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Inverse Time Limit Theory (ITLT) Piya, Abhay <p>We present <strong>Inverse Time Limit Theory (ITLT)</strong>, a geometric framework based on the principle that spacetime curvature saturates at a fundamental density scale:</p> <p><strong> ρ* = βMₚ⁴</strong></p> <p>This principle provides a minimal extension of Einstein gravity without modifying the <strong>Einstein</strong>–<strong>Hilbert</strong> action or introducing additional fields. In the static, spherically symmetric sector, it yields a regular black hole solution described by the metric function</p> <p><strong>f(r) = 1 − (2Mr²)/(r³ + a), </strong></p> <p>where<strong> a = M/ρ*</strong></p> <p>This spacetime is free of curvature singularities, contains a finite-curvature core, and asymptotically recovers the <strong>Schwarzschild</strong> solution. </p> <p>All curvature invariants remain finite, and the spacetime is <strong>geodesically</strong> <strong>complete</strong>.<br>The same curvature saturation principle extends naturally to homogeneous <strong>cosmology</strong>, leading to a modified <strong>Friedmann</strong> equation in which the Hubble parameter remains finite at arbitrarily high densities. This eliminates the classical Big Bang curvature divergence while preserving standard cosmological evolution in the low-density limit. The theory predicts the existence of a universal curvature bound, nonsingular black hole interiors, and Planck-scale <strong>remnant</strong> formation.<br><strong>ITLT</strong> provides a unified and purely geometric mechanism for singularity resolution in both gravitational collapse and cosmology, governed by a single universal curvature scale, while remaining fully consistent with Einstein gravity in the weak-curvature regime.</p> |
| title | Inverse Time Limit Theory (ITLT) |
| url | https://doi.org/10.5281/zenodo.18800420 |