Black Hole: Termination of Singularity and the Rise of Modal Rigidity

Black Hole: Termination of Singularity and the Rise of Modal Rigidity (MASV‑Prime) Author: Volynets Evgeny Vatslavovich This publication presents a complete reformulation of the physical nature of black holes within the MASV‑Prime architecture (Modal Architecture of Structured Reality). In contrast to classical general relativity, where a black hole contains a singularity — a point of infinite density and zero volume — MASV‑Prime eliminates the concept of physical infinities entirely. Instead, a black hole is described as a modal crystal: a maximally dense, coherent S‑node embedded in the structured vacuum (F‑mode), where phase pressure reaches its finite upper limit. The work introduces a deterministic, frequency‑based model of gravitational behavior, phase locking, modal compression, and the internal topology of extreme astrophysical objects. Key results include: the criterion of phase locking and the disappearance of the event horizon paradox; the Volynets Constant (V ≈ 2.13) as a topological barrier preventing singularities; the equation of maximal phase pressure PF(max) and its role in stabilizing modal crystals; a deterministic reinterpretation of Hawking radiation as modal decompression; the final phase transition (“modal burst”) converting a depleted black hole into a baryonic cloud; the cosmological function of black holes as regulators of vacuum phase density. The publication includes mathematical derivations, structural diagrams, cross‑sectional illustrations of black holes, and a full technical appendix with equations for modal luminosity, lifetime, and critical mass Mcrit. The work concludes with the official authorship, legal status, and normative references of MASV‑Prime, including links to the MASV‑Prime Standard v1.0 and the official Zenodo community. This document is part of the unified scientific corpus of MASV‑Prime and adheres to the ontological and operator framework of the structured vacuum theory. Keywords: MASV‑Prime, modal physics, structured vacuum, phase topology, S‑mode, F‑mode, modal crystal, Volynets Constant, black hole, phase pressure, modal decompression, cosmology, FG‑dynamics.