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April 3, 20260 citationsOpen Access

The Same Parameter That Controls Neutron Stars Also Stops Black Hole Singularities

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MSMarc López Sánchez

Key Points

  • The study aims to explore how gravitational collapse affects singularity formation in black holes and neutron stars.
  • Analyzed gravitational collapse conditions and effects on singularity formation using CCEGA framework.
  • Calculated critical density at which singularity formation is arrested.
  • Predicted gravitational wave (GW) echoes and compared them to neutron star merger signals.
  • Identified critical density ρ_c = 7.4 ρ_nuc leading to G_eff → 0, stopping singularity formation.
  • Determined the final interior radius of black holes and the tidal charge value.
  • Predicted GW echoes at approximately 4.76 ms, distinct from neutron star mergers.

Abstract

Gravitational collapse in CCEGA arrests at ρc = 7. 4 ρₙuc due to Gₑff → 0, preventing singularity formation. For M = 30 M☉: interior matter at Rfinal = 20. 3 km, horizon at R_+ = 91. 7 km (3. 4% larger than GR), tidal charge q = −2. 87×10¹² cm² from bulk Weyl projection. GW echoes predicted at tₑcho ≈ 4. 76 ms — distinct from 14 ms neutron star merger signal (P33). ρc governs cosmological bounce (P18), neutron star Mₘax (P34), and collapse arrest — triple cross-domain consistency. CCEGA Program Paper 35.

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Cite This Study

Marc López Sánchez (2026) studied this question.

synapsesocial.com/papers/69cf5d4e5a333a821460b014https://doi.org/10.5281/zenodo.19342359
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