Ervin Goldfain. On the Gravitational Entropy of Cantor Dust
Natural Sciences / Physics / Gravitation Theory (Relativity)
Submitted on: Jul 23, 2025, 11:07:35
Description: Cantor Dust (CD) is a hypothetical Dark Matter (DM) condensate of relic spacetime dimensions left over from the primordial Universe. A plausible assumption is that, in the complex dynamic regime of primordial cosmology, CD consists of continuous dimensional fluctuations acting as a fractal mass distribution. Starting from these premises, here we study the gravitational behavior of CD in the context of Rényi and Tsallis entropies. Our findings offer a fresh perspective on structure formation as a complex dynamical process.