Black-hole physics exposes fundamental tensions between general relativity, quantum theory, and thermodynamics, including the information paradox, the origin of the Bekenstein–Hawking entropy coefficient, and the absence of a natural derivation of the Page curve within semiclassical frameworks. We propose that these problems admit a unified resolution within the Source Energy Field Theory (SEFT), in which the Universe is described by a single complex energy field. In this framework, spacetime, gravitation, matter, and thermodynamic behavior arise as effective manifestations of nonlinear phase dynamics rather than fundamental inputs. Black holes correspond to phase-saturated configurations defined by a nonlinear activation condition, which identifies the horizon as a dynamical phase-gradient saturation boundary. The nonlinear parameter is fixed self-consistently by the vacuum structure, leading to an emergent effective coupling. Within this framework, we show that:- the black-hole area law emerges from phase-gradient saturation,- Hawking-like radiation arises from phase-dynamical mode mixing,- Page-curve behavior follows from the competition between entropy production and internal information storage,- and the Schrödinger equation is recovered in the nonrelativistic limit. These results suggest that gravity, quantum mechanics, and thermodynamics emerge as effective limits of a common underlying field.
Eishi Sakihara (Wed,) studied this question.