Biophysical Constraints on Family Co-Regulation: The Temporal and Energy Constraint Models (TCM/ECM) of Parenting Collapse as a Predictable Phase Transition

Despite the proliferation of evidence-based treatments (EBTs) for families, a significant efficacy gap persists between structured clinical settings and naturalistic home environments. Highly trained caregivers frequently experience catastrophic regulatory failure. This theoretical review argues that mainstream clinical paradigms rely on a flawed Regulatory Availability Assumption (RAA), which presumes that the prefrontal metabolic capacity and temporal windows required for high-cognitive interventions are consistently accessible during acute crises. We propose a paradigm shift, conceptualizing the family as a coupled dynamical system governed by strict biophysical constraints. Introducing the Temporal Constraint Model (TCM) and the Energy Constraint Model (ECM), we demonstrate that family systemic collapse is not a compliance failure or moral deficit, but a predictable non-linear phase transition. A heuristic mathematical skeleton renders these predictions formally precise and falsifiable. This framework yields three testable predictions, shifting the clinical objective from teaching individual pedagogical skills to maintaining the family system away from critical phase-transition tipping points. Keywords: Neuroenergetics, Coupled Dynamical Systems, Temporal Constraint Model, Energy Constraint Model, Regulatory Availability Assumption, Parental Burnout, Phase Transition, Evidence-Based Treatments.