Architectural Specification: The Holographic Declarative Game Engine (HDGE)

Abstract Traditional physics engines (e.g., Havok, PhysX) operate via additive, sequential rendering, computing the trajectories of discrete polygons over a linear timeline. This architecture fails to capture the non-local, simultaneous geometry of higher-dimensional space. The Holographic Declarative Game Engine (HDGE) replaces imperative spatial rendering with Acoustic Constraint Topology. By utilizing a spherical state space encoded with the circle of fifths, the engine dynamically generates interior tensegrity environments mathematically mandated by Bidirectional Constraint Closure (BCC). The player operates not as a moving coordinate, but as a topological invariant whose shifting frequency mathematically collapses constraint-space distance, forcing the environment to dynamically render pathways of resolution.