This paper develops the EST black-hole model in which a black hole is treated as a finite compact soliton with a physical bosonic skin and a calm displaced interior, rather than as a singularity hidden behind a purely geometric horizon. The paper proposes a spin-driven phase sequence from a low-spin spherical state to a threshold “trampoline” state and finally to a high-spin toroidal state capable of supporting bipolar jets and quasar-like behaviour. In addition to the analytical framework, the paper includes a reduced Python Hessian analysis of the effective shell energy, used as a mechanical stability test of the proposed phase transition. In the reduced model, the toroidal branch becomes energetically preferred beyond a critical circulation threshold while remaining locally stable. The work therefore combines conceptual EST compact-object theory with a first quantitative stability check of the spherical-to-toroidal transition.
Jonathan Edward Wilson (Mon,) studied this question.