This composite release contains two companion papers and one shared supplement extending the published substrate paper E1P in the Brain: Scale-Invariant Orthogonality, Hemispheric Phase Characters, and Callosal Closure. The first paper, E1P at Neural Level: Coherence Episodes — Flow Separation, Traversal, and Lock, develops the dynamical layer of the E1P neural framework. Whereas the published substrate paper establishes where E1P phases are mapped in neural architecture, this paper asks how a coherence gradient moves through those phases over time. It formalises the AC phase as a separation of one gradient into three flows: Closure at E ⇌ 1, Spectra at E > 1, and Remainder at E < 1. Spectra is treated as the Active stage of outward mobilisation; Remainder as the Connective stage of inward processing or residue; and Closure as selective resolution through Sparse Closure. The central falsifiable claim is that Active and Connective stages are co-produced but independently lockable within a single coherence episode. The second paper, The AC Phase in Social Misunderstanding and Reconnection: Spectra, Remainder, and Closure in a Social Coherence Episode, applies that dynamical model to social misunderstanding and repair. It interprets perceived relational mismatch as a coherence gradient and examines how that gradient separates into outward repair effort, inward unresolved residue, and possible closure through clarification, felt understanding, reconnection, and physiological recovery. The paper distinguishes established social-neuroscience findings from E1P-specific hypotheses and proposes empirical tests against rival accounts such as temporal need-threat models, active inference, social homeostasis, attachment theory, and alliance rupture-repair. The shared supplement, Supplement A: Evidence Status, Audit Notes, and Decision Rules, preserves the evidence audit behind the two papers. It records claim status, overclaim corrections, measurement instruments, timing recommendations, falsification criteria, model-comparison standards, and release caveats. The supplement is intended to travel with both papers until empirical validation work is complete. Together, the three documents define a disciplined research programme for testing E1P as a candidate dynamical architecture for neural and social coherence. They do not claim completed neurobiological validation. Their contribution is to specify constructs, operational measures, rival models, and decision rules precise enough for future empirical evaluation.
Resonant Institute (Sat,) studied this question.