This revised theoretical preprint examines the admissible projection of the resonance-coherence order parameter Ω from gravitational effective field theory to dissipative and informational systems. It follows the gravitational formalization developed in the preceding resonance-coherence sequence, where Ω is treated as a retained macroscopic order parameter associated with nonlinear phase-correlated systems under coarse-graining. The paper does not introduce Ω as a new force, fundamental scalar field, hidden variable, universal substance, optimization principle, or operational control variable. Instead, Ω is treated as a coherence-support descriptor: a retained effective quantity that may classify the degree to which collective phase organization remains macroscopically available after local fluctuations, microscopic correlations, or fine-grained dynamical details have been averaged, dissipated, or integrated out. The central claim is conditional. A resonance-coherence order parameter can be meaningfully projected beyond the gravitational domain only when the target system contains phase-like degrees of freedom, nonlinear coupling, dissipation or coarse-graining, and macroscopic stability conditions that depend on retained phase organization. Under these constraints, Ω may function as a cross-domain diagnostic of synchronization, persistence, fragmentation, temporal retention, and coherence-supported stability. The contribution of the paper is classificatory and methodological. It defines the conditions under which Ω may preserve its order-parameter role across changes of scale, representation, substrate, and domain of evaluation. Its universality is therefore restricted to structural role, not numerical identity, empirical estimator, microscopic substrate, or governing equation. The paper situates this projection within order-parameter theory, synchronization, nonequilibrium phase transitions, complex-system stability, and admissibility-based model classification. This preprint supplies the bridge between the gravitational-domain formalization of resonance coherence and later analyses of phase coherence in coupled dissipative systems, coherence-conditioned information encoding, and coherence-conditioned temporal structure. It establishes the admissible projection layer while preserving the distinction between model, lawhood, prediction, control, stabilization, anchoring, and external realization.
Son et al. (2026) studied this question.