Unification of Physical Realities: Energy, Force, Geometry, and Curvature as Faces of a Single Boundary-Supported Quantity

We present a unification framework in which energy, force, geometry, and geometriccurvature are treated not as independent entities but as different faces of a singleboundary-supported structural quantity Φ. The objective of this paper is unification,not discovery of a new force or energy.ΦE = ΦF = ΦL ≡ Φ (1)We define Φ with compatible energy, force, and length dimensions at the reflectiveboundary. Its distinct projections correspond to the familiar physical forms, and inthe limit Φ → 0, all modified relations reduce smoothly to their classical counterparts,including E = mc2, F = ma, and Euclidean geometry, thereby preserving full con-sistency with established physics while providing a single structural language for fourseparate domains.