Black Holes as Saturated Phase Interfaces in a Superfluid Vortex Network

We investigate the microscopic origin of black hole entropy within the framework of the Superfluid Energetic Field (SEF), in which spacetime emerges from a saturated Planck-scale network of topological vortex degrees of freedom. In this approach, classical geometry arises as a coarse-grained description of an underlying superfluid-like vacuum state. We show that the Bekenstein--Hawking entropy \cite{Bekenstein1973, Hawking1975} emerges as a statistical counting of independent topological degrees of freedom associated with vortex intersections on the horizon interface. The characteristic area scaling follows naturally from the saturation of available states at the fundamental scale $\ell_*$, providing a microscopic basis for holographic behavior \cite{Susskind1995, Bousso2002}. Using a relativistic $P(X)$ Lagrangian, we demonstrate that black hole horizons are dynamical phase interfaces where the effective propagation speed of excitations vanishes ($c_s \to 0$), defining a physical trapping mechanism rooted in the microphysics of the medium rather than in purely geometric considerations. Within this framework, black holes correspond to saturated phases of the vacuum that act as dynamical \textit{recycling nodes}, in which localized degrees of freedom are redistributed into global topological configurations. This process replaces the classical singularity with a regime of \textit{phase stasis} and provides a consistent mechanism for information preservation through topological re-encoding. These results provide a unified description of horizon thermodynamics, black hole microstructure, and information retention, supporting a picture in which gravitational dynamics emerges from the saturation and reorganization of microscopic degrees of freedom in the vacuum.