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Exploring Degenerate Black Holes at Planck Scales: A Speculative Framework

Authors: Om Suresh More


Credits: Jacob Bekenstein
Credits: Jacob Bekenstein

Abstract

This article explores the conceptual framework of a “Degenerate Black Hole” (DBH) - a speculative Planck-scale state where the classical distinction between the event horizon and an interior high-curvature region is hypothesized to break down. Building on the well-established heuristic comparison between the Schwarzschild radius and the Compton wavelength, this work provides a pedagogical synthesis illustrating how quantum uncertainty motivates a theoretical lower mass limit for black holes. We describe the geometry of this hypothetical unified quantum core using the Planck length as an assumed minimum effective radius, exploring its modeled thermodynamic properties, mass, and minimal entropy. Finally, we discuss speculative implications for singularity resolution, the possibility of stable quantum remnants versus rapid evaporation, and qualitative connections to broader quantum gravity models.


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References


[1] Hawking, S. W., “Particle Creation by Black Holes,” Commun. Math. Phys. 43, 199 (1975).


[2] Rovelli, C., “Loop Quantum Gravity,” Living Rev. Relativ. 1, 1 (1998).


[3] Amati, D., Ciafaloni, M., Veneziano, G., “Can spacetime be probed below the string size?” Phys. Lett. B 216, 41 (1989).


[4] Adler, R. J., Chen, P., Santiago, D. I., “The generalized uncertainty principle and black hole remnants,” Gen. Relativ. Gravit. 33, 2101 (2001).


[5] Bekenstein, J. D., “Black holes and entropy,” Phys. Rev. D 7, 2333 (1973).


[6] Carroll, S. M., Spacetime and Geometry: An Introduction to General Relativity, Addison-Wesley (2004).

1 Comment


William Hayes
13 hours ago

Excellent article, The comparison between classical black holes and this speculative DBH model is very well structured and thought-provoking .

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