Published October 25, 2025 | Version v1
Preprint Open

Possibility of Void Black Holes in the Sobolev–Ozok Lattice Framework

Description

This paper introduces the concept of Void Black Holes (VBHs) within the Sobolev–Ozok Lattice (SOL) framework, regions where spacetime coherence collapses below a critical threshold. It shows that the Universe itself may behave as a global VBH bounded by its own coherence shell, linking the cosmological constant to the coherence–decoherence balance and unifying gravitation and cosmic expansion under a single coherence-tension law.

Decleration of Tools Used:
This paper was prepared and formatted using Overleaf (LaTeX editor). Text refinement and language polishing were assisted by Overleaf AI Editor. all scientific content, derivations, and conclusions are original and autored by the undersigned.
 

This paper is part of the Sobolev–Ozok Lattice (SOL) research program.

Project webpage (papers, figures, updates):

https://ozokozcasol.github.io/Sobolev-Ozok-Lattice/

Files

Possibility_of_Void_Black_Holes_in_the_Sobolev__Ozok_Lattice_Framework.pdf

Files (266.7 kB)

Additional details

Related works

Cites
Preprint: 10.5281/zenodo.16889439. (DOI)
Preprint: 10.5281/zenodo.16883574 (DOI)
Is derived from
Preprint: 10.5281/zenodo.16879907 (DOI)

References

  • Fay Dowker. Causal Sets and the Deep Structure of Spacetime. General Relativity and Gravitation, 37:327–338, 2005.
  • Luca Bombelli, Joohan Lee, David Meyer, and Rafael D. Sorkin. Spacetime as a Causal Set. Physical Review Letters, 59:521–524, 1987.
  • Ozcan Ozok. The Sobolev–Ozok Lattice (SOL) Model: A Discrete Framework for Spacetime and Energy Dynamics. Preprint, 2025. Foundational SOL paper.
  • E. B. Gliner. Algebraic Properties of the Energy–Momentum Tensor and Vacuum–Like States of Matter. Soviet Physics JETP, 22:378–382, 1965.
  • Eric Poisson and Werner Israel. Internal Structure of Black Holes. Physical Review D, 41 (6):1796–1809, 1990.
  • Erik Verlinde. On the Origin of Gravity and the Laws of Newton. Journal of High Energy Physics, 2011 (4), 2011.
  • Ozcan Ozok. Black Holes from the Sobolev–Ozok Lattice (SOL): Derivation, Galaxy Occupation Thresholds, and Quasi–Black–Hole Signatures. Zenodo, 2025.
  • Albert Einstein. The Foundation of the General Theory of Relativity. Annalen der Physik, 49:769–822, 1916.
  • Sidney Coleman and Frank De Luccia. Gravitational Effects on and of Vacuum Decay. Physical Review D, 21 (12):3305–3315, 1980.
  • James M. Bardeen. Black Holes and Time Warps: Curvature and Energy Distribution. Physical Review D, 7:2333–2345, 1973.
  • Georges Lemaître. The Expanding Universe. Monthly Notices of the Royal Astronomical Society, 91:483–490, 1931.
  • Alexander Friedmann. Über die Krümmung des Raumes. Zeitschrift für Physik, 10:377–386, 1922.
  • Adam G. Riess et al. Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant. Astronomical Journal, 116:1009–1038, 1998.
  • Saul Perlmutter et al. Measurements of Omega and Lambda from 42 High-Redshift Supernovae. Astrophysical Journal, 517:565–586, 1999.
  • Luciano Pietronero. Fractals in the Universe. Physica A, 144:257–284, 1987.
  • Andrei D. Linde. Eternal Chaotic Inflation. Modern Physics Letters A, 1 (2):81–85, 1986.
  • Stephen W. Hawking. The Development of Irregularities in a Single Bubble Inflationary Universe. Physical Review D, 28:2960–2975, 1983.
  • T. Padmanabhan. Gravity and the Thermodynamics of Horizons. Physics Reports, 406:49–125, 2005.
  • Steven Weinberg. Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity. Wiley, 1972.
  • JWST Collaboration. High-Redshift Galaxy Candidates and Early Structure Formation. Astrophysical Journal Letters, 951:L16, 2023.
  • Planck Collaboration. Planck 2018 Results. VI. Cosmological Parameters. Astronomy and Astrophysics, 641:A6, 2020.
  • NASA/WMAP and Planck Science Team. Hubble Constant and Cosmological Constant Constraints. Technical Report, NASA, 2018.