The Four Forces, Matter, and the Dark Sector as Configurations of One Actuating Substrate

The Standard Model and general relativity describe the four interactions and the particle spectrum with extraordinary precision, yet derive almost none of their structure: the gauge group, the force hierarchy, the spin content of each mediator, and the dark sector all enter as measured inputs rather than as consequences. The missing element is not computational power but a common substrate whose geometry forces the structure, and the leading extensions add inputs, extra dimensions, superpartners, or imposed discrete symmetries, rather than removing them. This paper develops a single actuating continuous substrate, read through a three-way orthogonal decomposition into a formal, a thermodynamic, and a registrational warrant, on which each force is a distinct configuration classified by the geometry of its source tensor and each particle is a topological knot, with geometry fixed before magnitude. The framework's empirical content is dominated by geometric necessity rather than fitted number: gravitational radiation is purely quadrupolar, magnetic monopoles are absent, color is exactly confined, and the neutrino is a Majorana particle, each forced by a topology or a source structure; the normal neutrino ordering and the proton's effective stability follow as structural consequences; the three-generation count is inherited and read through an open conjecture rather than derived; and the dark-energy equation of state stays at or above minus one with a small present departure, the one prediction currently disfavored by baryon-acoustic-oscillation data, which prefer a past excursion below minus one that the framework forbids. Each is falsifiable at five standard deviations by a named instrument. If confirmed, the account unifies by placing the interactions on one substrate rather than by computing their magnitudes, and it states in advance the single unmeasured input, the thermodynamic characterization of the substrate, in which every remaining continuous constant resides, alongside a small closed set of discrete structural stipulations it marks rather than derives. The paper claims structural placement and geometric prediction; it does not claim to derive the constants, and it declines the numerical coincidences that would appear to. Keys: topological field theory, gauge structure, spin-2 exhaustion, Hodge decomposition, color confinement, neutrino mass ordering, dark energy equation of state, geometric necessity