A Single-Ratio Origin of Physical Constants and the Four Fundamental Interactions

This paper presents a unified geometric reinterpretation of physical constants and the four fundamental interactions—gravity, electromagnetism, the strong force, and the weak force—based on a single primitive physical ratio U ≡ E / r The energy–distance ratio.Rather than treating time, mass, force, or coupling constants as independent fundamental entities, the framework reconstructs them as emergent, regime-dependent quantities arising from a self-regulated geometric structure. Within this formulation, the four fundamental interactions are not distinct force laws, but correspond to different elastic regimes of a single underlying geometric response defined on the �-space. In this picture, conventional physical constants (such as �, �, and �) do not play the role of primitive inputs. Instead, they function as reconstruction gauges, encoding how different physical regimes are realized within the same geometric foundation. The apparent hierarchy and diversity of interactions emerge from saturation, phase alignment, and elastic transitions in the underlying structure, rather than from independent coupling parameters. This work provides a concrete realization of force unification that avoids additional assumptions, hidden dimensions, or ad hoc scale matching. The resulting framework offers a minimal and computationally efficient description of interactions across microscopic and macroscopic scales, while remaining compatible with known physical behavior. The present manuscript is a focused and self-contained study on the unification of physical constants and the four interactions. It is conceptually connected to a broader, extended theoretical development by the author (spanning multiple scales and applications), but can be read independently without reference to that larger body of work. ===================================================================================== “This work isolates and presents a focused, independently readable subset of a broader SRCD framework, concentrating on the geometric unification of fundamental constants and the four fundamental interactions.” ===================================================================================== I would like to clarify a potential point of confusion regarding the references. The 277-page SRCD paper cited at the end of the reference list in the manuscript corresponds to the following DOI: 10.5281/zenodo.18146384 This DOI specifically refers to my 277-page SRCD document. It should not be confused with other Zenodo records associated with different SRCD-related manuscripts. Thank you for your attention to this clarification.