Microscopic Dynamics of the Space-Time Membrane: A Conservative Elastic Framework for Emergent Structure

We develop a conservative microscopic formulation of the Refined Space-Time Membrane (RSTM) model in 3+1 dimensions in which six result groups—Structure, Scale, Particle, Family, Quantum and Geometry—arise through microscopic dynamics, selection and conservative reduction. A real constitutive coordinate relaxes intermediate-gradient stiffness while preserving a positive microscopic parent, and a two-real-dimensional internal coordinate with primitive C₃ symmetry generates three symmetry-related orientations. Eliminating stable constitutive fluctuations yields a negative Schur-complement correction to fourth-order stiffness with correlated positive sixth-order regulation, producing a stable finite-wave-number corridor. Persistent localisation instead arises in a conservative two-face sector with fixed Noether charge, where reciprocal constitutive coupling supports a stable three-dimensional one-orbital branch below the dispersed same-charge continuum. The same architecture admits a stable flavour-sensitive fixed-charge branch without inserting a family mass matrix or microscopic complex Yukawa phase. Positive-frequency reduction yields Schrödinger-like evolution, while conservative analyser dynamics gives squared-overlap channel weights. At collective spatial level, incompatible strain reproduces the linearised spatial Einstein tensor and relabelling symmetry fixes the quadratic curvature coefficients in the Einstein ratio. Physical coefficient descent, local gauge dynamics, universal Born preparation statistics and four-dimensional gravitational closure remain open tests.