Clarifying the Schwarzschild Singularity: The Principle of Coordinate-Entity Separation and the Ontological Necessity of R_{\min} Ver1

To enhance the persuasive power of the theory, I have intentionally employed a relatively strong tone in several places. I kindly ask for the readers’ understanding in this regard.

My position has always been consistent. I do not, and will never, claim that my view alone is correct. My sole intention is to engage in dialogue through theory, and I sincerely hope that this work may contribute, even in a small way, to academic discussion.

I am fully aware that there remain many aspects in which I am still insufficient to participate in such dialogue at a complete level. Nevertheless, I will continue to make every effort to improve, step by step.

 

I would like to state clearly that this work does not seek to deny or reject existing theories. Although a somewhat strong tone is used in parts, the intention is to explore, based on personal reasoning, possible ways to further complement and refine established theoretical frameworks.

 

I also wish to emphasize that this work is presented as a preprint. It is not a validated or formally verified theory, but rather a theoretical construction developed by an individual with the assistance of AI tools. I would appreciate it if readers would keep this context in mind while reading.

 

Despite multiple rounds of review, errors may still remain. I sincerely ask for the readers’ understanding and generosity in this regard.

 

Thank you for your time and consideration.

I hope that everyone who takes the time to read my work finds some measure of fulfillment and well-being in doing so.

Sincerely,
Sungmin Lee

 

 

This paper addresses the long-standing problem of curvature divergence at the r \to 0 singularity in the Schwarzschild metric. We identify this singularity as a Reification Fallacy—a logical error where a geometric coordinate origin is conflated with a physical mass-entity. By introducing the Principle of Coordinate-Entity Separation, we demonstrate that while a coordinate address can exist at r=0, any physical mass M with finite energy density must possess a non-zero physical extent, defined here as R_{\min}.

Unlike previous "regular black hole" models, this framework preserves the standard Einstein field equations and the Schwarzschild exterior while establishing R_{\min} as the natural ontological boundary of the source. This conceptual shift transforms the black hole interior from a mathematical void into a dynamical physical core. We further propose that the R_{\min} core possesses vibrational degrees of freedom that couple with the event horizon, providing a theoretical foundation for Gravitational Wave (GW) Spectroscopy. This allows the internal structure of black holes to be investigated through GW echoes and quasi-normal mode analysis, turning black holes into researchable physical laboratories.