A Constructive Unification of Spacetime and Matter via Curvature Excitations: Derivation of Four-Dimensional Spacetime from the Principle of Construction

This paper presents a foundational framework in which both spacetime and matter are derived from a single variational and self-descriptive principle — the Principle of Construction. Unlike conventional theories that assume the structure of spacetime or impose matter fields ad hoc, this approach demonstrates that four-dimensional spacetime and fermionic and bosonic excitations naturally emerge as a consequence of internal consistency, variational definability, and constructive coherence.Matter and interactions are unified geometrically via curvature excitations over a generalized connection, without the need for supersymmetry or extra dimensions. The theory also offers a fresh account of quantum behavior, irreversibility, and historical evolution, arising from structural conditions of information compressibility and self-reference.This work serves as the philosophical and formal foundation of the Unified Curvature Field Theory, and ultimately aims toward a fully constructive Grand Unified Theory. It redefines the path to fundamental physics: not through assumption, but through construction.