This paper establishes a radical framework of geometric complementarity, propos- ing that Force (F) and Energy (E) are mutually exclusive observables of a singular spacetime state vector K. We demonstrate that the act of measuring Force through the operator Qˆ irreversibly collapses the geometric manifold, precluding any subse- quent measurement of the original Energy state via operator Pˆ. This fundamental exclusion provides a purely geometric origin for the arrow of time and the non- equilibrium nature of the universe.