Part 10_Structural Scale as a Causal Control Parameter in Observer-Dependent Physics

This manuscript constitutes a new contribution within the ongoing SRCD / JS–SH research program, which investigates the discrete structural origin of physical laws across scales. It should be read in direct continuity with the author’s previously released works, including the 277-page foundational worldview paper (Zenodo DOI: 10.5281/zenodo.18204134), as well as earlier studies onthe wave equation,the gravitational constant,the speed of light,the origin of wavelength,and the unification of the four fundamental interactions. While the earlier papers focused on deriving individual physical constants and force laws from discrete geometric principles, the present work advances the program by identifying structural scale as a causal control parameter governing how physical laws emerge, transform, and are hierarchically organized under observer-dependent resolution. In particular, this paper clarifies how: inverse-square force laws (gravity and electromagnetism) arise from structural diffusion in effective three-dimensional regimes, deviations from inverse-square behavior correspond to changes in effective dimensionality and structural closure, and how the JS–SH framework distinguishes effective descriptions from fundamental structural causes without introducing phenomenological tuning. Rather than proposing a new force or modifying existing equations, this work provides a structural diagnosis of why known laws take their observed form, and under what conditions they may fail or transition. This manuscript is not an isolated result, but part of a coherent theoretical sequence aimed at reconstructing spacetime, waves, constants, and interactions from a single discrete structural principle. It serves as a conceptual and causal bridge between earlier constant-specific derivations and the broader SRCD worldview.