Resonant Emergence Theory (RET): A TM–BM Information-Theoretic Framework for Quantum State Collapse and the Measurement Problem

The quantum measurement problem — why and how a wavefunction in superposition collapses to a definite state upon observation — remains unresolved after a century of quantum mechanics. Existing interpretations (Copenhagen, Many-Worlds, Bohmian mechanics, Decoherence, Relational QM) each address the problem partially, yet none provides a unified physical mechanism grounded in established information-theoretic quantities. This paper introduces Resonant Emergence Theory (RET), a new interpretive framework that identifies wavefunction collapse as a Resonance Event — the moment at which the quantum state of a system achieves sufficient information-theoretic overlap with the Bold Memory (BM) structure of its environment. RET operationalises Bold Memory as the von Neumann entropy S (ρₑnv) of an environmental system, Temporary Memory (TM) as the incoming quantum state (density matrix) of the system under observation, and Resonance as quantum fidelity F (ρTM, ρₑnv). The collapse condition is formally expressed as R (TM, BMₑnv) × S (ρₑnv) ≥ θc, where θc is a critical information-density threshold. This formulation is shown to be consistent with, and an extension of, the Lindblad master equation and standard decoherence theory, while providing a physical interpretation of why the environment causes wavefunction collapse. Five postulates are presented: superposition as unresolved continuity, measurement as a resonance event (requiring no conscious observer), wave-particle duality as pre- and post-resonance phases, entanglement as shared BM structure (no FTL communication), and quantum coherence as the cost of continuity. Three falsifiable experimental predictions are proposed, including a BM-threshold experiment feasible with current cavity QED technology. A companion interactive simulator (RET Lab v1. 0) is publicly available at https: //doi. org/10. 5281/zenodo. 19427072.