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2026
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| Online Access: | https://doi.org/10.5281/zenodo.18463662 |
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| _version_ | 1866902141673668608 |
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| author | Kulkarni, Raghu |
| author_facet | Kulkarni, Raghu |
| contents | <p>Standard semiclassical gravity predicts that black holes evaporate via Hawking radiation with a lifetime</p> <p>scaling of τ ∝M<span>3</span>. This slow decay rate imposes strict constraints on the abundance of Primordial Black</p> <p>Holes (PBHs), as those formed in the early universe (M∼10<span>15 </span>g) would persist today, conflicting with</p> <p>gamma-ray background observations. We propose an alternative decay mechanism based on the **Selection-</p> <p>Stitch Model (SSM)**, where the vacuum is modeled as a discrete Face-Centered Cubic (FCC) tensor</p> <p>network. We treat the black hole event horizon as a topological defect (vacancy) in this lattice. Applying</p> <p>the **Allen-Cahn** equation for non-conserved order parameters, we derive a ”Geometric Evaporation”</p> <p>mode where the horizon recession velocity scales with curvature ( R ∝−1/R). This yields a decay law of τ ∝M<span>2</span>. We introduce</p> <p>a ”Peierls Locking” mechanism to explain the stability of macroscopic black holes,</p> <p>estimating the lattice correlation length L<span>corr </span>at the femtometer scale. This ensures that the geometric</p> <p>channel dominates for PBHs, resolving abundance constraints, while leaving astrophysical black holes stable.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18463662 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Geometric Evaporation: Solving the Primordial Black Hole Constraint via Lattice Tension in a Polycrystalline Vacuum Kulkarni, Raghu <p>Standard semiclassical gravity predicts that black holes evaporate via Hawking radiation with a lifetime</p> <p>scaling of τ ∝M<span>3</span>. This slow decay rate imposes strict constraints on the abundance of Primordial Black</p> <p>Holes (PBHs), as those formed in the early universe (M∼10<span>15 </span>g) would persist today, conflicting with</p> <p>gamma-ray background observations. We propose an alternative decay mechanism based on the **Selection-</p> <p>Stitch Model (SSM)**, where the vacuum is modeled as a discrete Face-Centered Cubic (FCC) tensor</p> <p>network. We treat the black hole event horizon as a topological defect (vacancy) in this lattice. Applying</p> <p>the **Allen-Cahn** equation for non-conserved order parameters, we derive a ”Geometric Evaporation”</p> <p>mode where the horizon recession velocity scales with curvature ( R ∝−1/R). This yields a decay law of τ ∝M<span>2</span>. We introduce</p> <p>a ”Peierls Locking” mechanism to explain the stability of macroscopic black holes,</p> <p>estimating the lattice correlation length L<span>corr </span>at the femtometer scale. This ensures that the geometric</p> <p>channel dominates for PBHs, resolving abundance constraints, while leaving astrophysical black holes stable.</p> |
| title | Geometric Evaporation: Solving the Primordial Black Hole Constraint via Lattice Tension in a Polycrystalline Vacuum |
| url | https://doi.org/10.5281/zenodo.18463662 |