SRCD–GPT v4.0: Unification of the Four Fundamental Interactions through a Single Elastic Ratio Coordinate

Description:This work presents SRCD–GPT v4.0, a parameter-free elastic framework in which the four fundamental interactions—strong, weak, electromagnetic, and gravitational—are unified through a single dimensionless elastic ratio coordinate $\sigma$.Rather than converting one force into another or introducing new coupling constants, interaction strength is defined by the relative position along the same elastic coordinate, with configurations near elastic saturation ($\sigma \to 1$) corresponding to stronger interaction regimes and configurations near the relaxed baseline ($\sigma \approx 0.5$) corresponding to weaker, long-range behavior.Within this framework, each fundamental interaction emerges as a distinct elastic regime of a single underlying structure, connected by continuous transition intervals (“voids”) rather than sharp boundaries. This allows direct, intuitive comparison of interaction strength without force-to-force conversion, additional parameters, or scale-dependent tuning.The SRCD–GPT formulation provides a unified, scale-consistent interpretation of interaction hierarchy, force overlap, and transition behavior, offering an alternative route to unification based on elastic saturation, regime continuity, and ratio-based dynamics.