Amplitude–Phase State Dynamics as a Pre-Geometric Origin of Gravity: A Primeon Framework Perspective

We present a pre-geometric state-based framework in which classical gravity emerges fromthe dynamics of a scalar amplitude state coordinate coupled intrinsically to a phase statecoordinate. The theory is formulated independently of spacetime geometry and employs apolar state representation ℘ = Aeiθ defined over an abstract state space parameterized byprime-indexed modes. We show that, under coarse-graining, amplitude dynamics reproducethe weak-field limit of General Relativity, while phase degrees of freedom enter througha structurally allowed cross coupling. Spacetime geometry is interpreted as an emergentmacroscopic description of amplitude variation, not a fundamental input.