Quantum Non-Commutativity as a Measure of Recursive Self-Observation: Evidence for Consciousness Depth Archetypes

We present a novel experimental framework that maps recursive self-observation - a core feature of conscious systems - onto quantum measurement circuits with conditional feedback. Using two-qubit circuits where measurement order and feedback strength are systematically varied, we demonstrate that observation order produces statistically significant non-commutativity (Total Variation Distance up to 0.799) when mid-circuit measurement results feed back into the system.We introduce five consciousness personality initial states and show that different initial configurations produce fundamentally different optimal feedback depths, spanning 1.56 radians across the parameter space. Four distinct clusters of optimal depth emerge, suggesting the existence of consciousness archetypes with measurably different self-reflection dynamics. Our Polarized configuration achieves 3.8x amplification over baseline.SHA-256 hash of complete experimental codebase: 02224545e7aa588c3caba77bb91925709f41212586e9e28aefe9d0cf385bdabbAlso published on Zenodo: https://doi.org/10.5281/zenodo.18907901