The paper proposes that the black hole singularity, modeled as a random network of elementary degrees of freedom, carries entropy proportional to M^2, matching the scaling of Bekenstein-Hawking entropy.
Emergent Properties in Structurally Dynamic Disordered Cellular Networks
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abstract
We relate structurally dynamic cellular networks, a class of models we developed in fundamental space-time physics, to SDCA, introduced some time ago by Ilachinski and Halpern. We emphasize the crucial property of a non-linear interaction of network geometry with the matter degrees of freedom in order to emulate the supposedly highly erratic and strongly fluctuating space-time structure on the Planck scale. We then embark on a detailed numerical analysis of various large scale characteristics of several classes of models in order to understand what will happen if some sort of macroscopic or continuum limit is performed. Of particular relevance in this context is a notion of network dimension and its behavior in this limit. Furthermore, the possibility of phase transitions is discussed.
fields
gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
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The Black Hole Singularity as a Thermodynamic System being the Seat of BH Entropy
The paper proposes that the black hole singularity, modeled as a random network of elementary degrees of freedom, carries entropy proportional to M^2, matching the scaling of Bekenstein-Hawking entropy.