Primitive Energy Φ as a Measurable Structural Parameter

AbstractEnergy, force, and spacetime curvature are traditionally treated as independentmeasurable quantities defined within established physical laws. In this work, wedemonstrate that these observable quantities admit a unified structural representa-tion through a single measurable parameter Φ, called Primitive Energy. Specifically,Φ is independently extracted from the energy relation Φ = E − mc2, the dynamicalforce relation ∇Φ = ma − F , and the geometric curvature relation derived from hori-zon structure. We prove that these independently measurable faces yield a unique andconsistent parameter satisfying the unified identityΦE = ΦF = ΦC = Φ.This establishes Primitive Energy Φ as a unified measurable physical identity. Classicalmeasurable physics is recovered as the limiting case Φ = 0, while non-zero Φ repre-sents an additional structural contribution beyond classical energy, force, and curvaturerelations.