Dynamic Causal Foam v0.3.0: Spectral Propagation and Emergent Metric Research Architecture

Dynamic Causal Foam (DCF) v0.3.0 is a prospective research architecture for testing whether bounded, dynamically coupled domains can support emergent spectral propagation, persistent defect-like structures, relational clocks, and effective geometry. The framework is boundary-first: local state and boundary conditions determine allowed modes; local coupling determines dispersion; dispersion determines propagation; persistent structures may in turn modify local coupling and probe propagation. The document formalizes the DCF spectral layer around the measured dispersion relation omega(k), including phase and group velocity, gapless and gapped modes, boundary-hosted spectra, spectral binding, localization, stress-dependent transduction, and effective-metric reconstruction from probe travel times. It defines an experiment suite E12-E16 covering dispersion recovery, spectral-gap/mass-like behavior, boundary spectra, spectral binding, and emergent metric response. DCF v0.3.0 is a conceptual and computational design specification, not a validated fundamental physical theory. It does not establish that spacetime, gravity, quantum fields, mass, particles, or the universe are generated by causal foam. Analogies to established wave, topological, condensed-matter, and analogue-gravity systems are comparison anchors only. The intended scientific use is prospective: freeze candidate rules, execute controlled toy-model experiments, preserve null and failure outcomes, and promote claims only when supported by independently reproducible evidence.