The Boundary-Mediated Revelation of Curvature

The Boundary-Mediated Revelation of Curvature is a mechanism-first, non-mathematical physical proposal that clarifies how geometric properties such as curvature, gradients, and field structure become empirically accessible in physics. The paper argues that while quantities like spacetime curvature or vacuum structure may exist objectively, they can only be revealed, registered, or measured through interactions with finite physical systems that possess boundaries, spatial extent, and inertial stability. By unifying examples from General Relativity (tidal strain), optics (wavefront detection), and quantum vacuum phenomena (Casimir mode restriction), the manuscript demonstrates that all physical measurements rely on symmetry-breaking interactions across boundaries that generate spatiotemporal differentials. The work does not modify established theories or introduce new mathematics; instead, it provides an operational clarification of a universal constraint on empirical observation, distinguishing clearly between ontological existence and physical accessibility, and offering a coherent framework for understanding how physical information is acquired across all scales of measurement.