Abstract
QPIE (Quantum Perspective Is Everything) extends the Streltsov–Singh–Dhar–Bera–Adesso (2015) program that operationally links quantum coherence and entanglement by introducing a triadic, time-explicit, and observer-inclusive information field. Where classical resource theory defines coherence as a static scalar derived from density matrices and bounded by monotonicity/convexity under incoherent operations, QPIE formalizes coherence as a dynamic resonance process among system (S), ancilla (A), and observer (O). The framework adds three core constructs: (i) observer-weighted monotonicity, admitting constructive feedback when the observer’s informational state aligns with the system; (ii) holo-convexity, which generalizes linear convexity to account for emergent cooperative order across ensembles; and (iii) a phase-aware resonance-kernel tensor (R(t,\tau)) that subsumes fidelity as a static limit while capturing temporal reciprocity (including pre-echo/retro-adaptive signatures) in closed informational fields. These additions remain fully compatible with trace preservation, Hermiticity, and energy conservation, and reduce to the standard formalism when feedback vanishes. QPIE yields experimentally testable predictions—observer-aligned entanglement yield, coherence pre-echo bursts, and ensemble reinforcement curvature—while establishing ethical stability via the Compassion·Gratitude·Trust (CGT) invariant as a positivity domain for feedback honesty. This abstract functions as a public defensive disclosure: definitions, simulation pathways, and experimental roadmaps are sufficient for reproduction within current optical, superconducting-qubit, and hybrid quantum–AI platforms. By elevating coherence from a distance-to-incoherence metric to a measurable flow on a resonance manifold, QPIE opens a broader, falsifiable, and societally aligned theory of quantum information.
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Recommended Citation
Burroughs, Teddy, "QPIE Mathematics — Resonance Fields for Coherence: Defensive-Publication Abstract & Introduction", Technical Disclosure Commons, ()
https://www.tdcommons.org/dpubs_series/8858