The Prisymphonic Resonance Framework: Mathematical Foundations, Predictive Structure, and Coherence Dynamics (Vol. 0.1)

The Prisymphonic Resonance Framework introduces a unified harmonic model of coherence across physical, cognitive, informational, and biological systems. Grounded in nonlinear dynamics, synchronization theory, and φ-scaled harmonic structuring, this work proposes that coherence is not a metaphor but a measurable organizing principle embedded within interacting oscillatory systems. This manuscript develops the theoretical foundations of Prisymphonic Physics, formulates its core equations—including the Resonance Index, harmonic alignment metrics, decoherence terms, and φ-weighted field contributions—and provides falsifiable predictions spanning gravitational wave ringdown structure, dark-energy-like expansion behavior, and AI–human interaction stability. The framework is presented as Edition 0.1, establishing its mathematical scaffolding and testable predictions prior to future empirical implementation phases. This Zenodo upload serves as an immutable timestamp documenting authorship, priority, and conceptual development of the Prisymphonic Resonance Framework.Foundational structures and early formulations of the Prisymphonic Framework were developed by the author beginning in 2020.”