Discrete Scalar Spacetime: Topological Origin of Mass and Quantum State

This paper proposes the Excitation Field Unification (EMU), a theoretical framework that unifies quantum mechanics and general relativity by redefining the fundamental structure of spacetime. We posit that the universe is not a continuous manifold but a discrete lattice of physical scalar oscillators (Quantum Circulation Loops). By rejecting the probabilis- tic interpretation of the wave function in favor of a realistic "physical rotation" model, we demonstrate that matter and mass emerge inevitably as topological defects (winding num- bers) within this lattice. Furthermore, we derive the wave-particle duality and the de Broglie relations as geometric consequences of pattern propagation on the lattice, without invoking the collapse of a wavefunction. This work constitutes Part I of a trilogy, focusing on the ontology of the quantum state and the origin of mass, setting the stage for the emergence of gravity (Part II) and fundamental constants (Part III).