I’m exploring possible conceptual and formal connections between the Oscillatory Dynamics Transductive-Bridging Theorem (ODTBT), particularly its central mechanism, the Threshold Waveform Interaction for State Transformation (TWIST), and the principles of Integrated Information Theory (IIT) as developed by Tononi and colleagues.

The TWIST model describes the transductive interface through which oscillatory systems transition between compression (discrete, quantized states) and expression (continuous, analog dynamics), producing nested structures of coherence across temporal and spatial scales. These transitions are structured by sine-cosine oscillatory logic and govern the formation of experienceable forms within recursive holarchical systems.

In IIT, consciousness is identified with the amount of integrated information (Φ) in a system—where causally effective states are both differentiated and integrated. There are strong echoes of this in ODTBT, where informational holons emerge through recursive transduction and are unified through phase coherence while retaining internal differentiation via nested redundancy structures.

My questions for the community:

• Has anyone formally or conceptually mapped ODTBT-like models—or oscillatory recursion frameworks—to IIT or other information-theoretic approaches to consciousness?
• Can the phase dynamics of TWIST (Threshold Waveform Interaction for State Transformation) be related to the cause-effect structures defined in IIT?
• Are there any known metrics or approaches for comparing Φ (phi) in IIT to field-level coherence or redundancy reorganization in holarchical, oscillatory systems?

I welcome references, critiques, and especially cross-disciplinary dialogue bridging thermodynamic, oscillatory, and information-theoretic models of consciousness.