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Preprint . 2026
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2026
License: CC BY
Data sources: Datacite
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Geometric Evaporation: Solving the Primordial Black Hole Constraint via Lattice Tension in a Polycrystalline Vacuum

Authors: Kulkarni, Raghu;

Geometric Evaporation: Solving the Primordial Black Hole Constraint via Lattice Tension in a Polycrystalline Vacuum

Abstract

Standard semiclassical gravity predicts that black holes evaporate via Hawking radiation with a lifetime scaling of τ ∝M3. This slow decay rate imposes strict constraints on the abundance of Primordial Black Holes (PBHs), as those formed in the early universe (M∼1015 g) would persist today, conflicting with gamma-ray background observations. We propose an alternative decay mechanism based on the **Selection- Stitch Model (SSM)**, where the vacuum is modeled as a discrete Face-Centered Cubic (FCC) tensor network. We treat the black hole event horizon as a topological defect (vacancy) in this lattice. Applying the **Allen-Cahn** equation for non-conserved order parameters, we derive a ”Geometric Evaporation” mode where the horizon recession velocity scales with curvature ( R ∝−1/R). This yields a decay law of τ ∝M2. We introduce a ”Peierls Locking” mechanism to explain the stability of macroscopic black holes, estimating the lattice correlation length Lcorr at the femtometer scale. This ensures that the geometric channel dominates for PBHs, resolving abundance constraints, while leaving astrophysical black holes stable.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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