Hypothetical Self-Interacting Black Hole Model and Spacetime Visualization

This work presents a phenomenological exploration of a modified gravitational collapse model in which spacetime does not evolve toward a singularity. Instead, when curvature invariants reach a critical threshold, the system undergoes a continuous transition into a non-singular geometric configuration. A key feature of the proposed framework is a nonlinear mass-energy feedback mechanism, in which the collapsing object's own mass-energy acts as an internal energy reservoir driving the transition. This introduces a self-interacting component in the effective stress-energy tensor, allowing for a curvature-regulating response in extreme regimes. The model investigates whether such nonlinear feedback can stabilize curvature and prevent divergence, potentially leading to non-singular compact objects or extended spacetime structures. This formulation is hypothetical and not derived from established quantum gravity theories. It is intended as a conceptual and mathematical framework for exploring emergent behavior in strong gravitational fields. This work represents an initial version of the hypothesis. Further development will include references to existing literature, explicit model realizations, and analysis of physical consistency. Feedback, critique, and discussion—particularly regarding mathematical rigor, conservation laws, and connections to existing gravitational theories—are strongly encouraged. Author’s note:This model and its formulation are original and were developed independently by the author. Any use, extension, or reference to this work should properly cite the original source.