Prisymphonic Quantum Coherence: Harmonic Resonance Architecture and the Open Problems of Quantum Mechanics

This paper presents a systematic examination of whether a coherence-based mathematical framework can offer useful interpretive structure across several foundational open problems in quantum mechanics, including measurement, coherence persistence, entanglement structure, probability, the quantum-to-classical transition, and quantum gravity. The analysis explores modified formulations that recover standard quantum behavior in appropriate limits and considers whether coherence-weighted extensions may help clarify unresolved relationships among phase behavior, topology, and decoherence. The paper also evaluates possible implications for black holes, vacuum behavior, and gravitational structure, while identifying a set of testable predictions intended to distinguish the framework from established models. A mathematical appendix examines consistency conditions under limiting cases and clarifies where the framework aligns with, extends, or departs from conventional physics