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A Spiral-Time Operator Layer for Quantum Engineering: Phase-Memory Diagnostics, Regime Prediction, and Closed-Loop Control

Marcel Krüger

Published May 18, 2026• 0 citations
Publisher

Abstract

Advanced quantum technologies increasingly depend on the stable operation of open, noisy, history-dependent systems. Examples include superconducting qubits, trapped ions, NVcenters, quantum sensors, photonic platforms, topological devices, and hybrid quantumclassical feedback architectures. Standard quantum theory provides the correct microscopic dynamical framework, but practical quantum engineering often requires an additional operational layer capable of detecting phase drift, coherence loss, memory effects, and regime transitions before they degrade device performance or propagate into unsafe control decisions. This manuscript proposes a conservative Spiral-Time operator layer for quantum engineering. The central object is a triadic phase-memory embedding ψ(t) = t+iϕ(t)+jχ(t), where t denotes external temporal ordering, ϕ(t) encodes phase/coherence state, and χ(t) encodes finite memory, torsion, or abrupt divergence. From measured system observables, the framework constructs a deterministic instability functional ∆Φ(t), interpretable as a distance from a calibrated stability manifold in structure–information–coherence space. The operator is not proposed as a replacement for quantum mechanics, Lindblad dynamics, process-tensor theory, optimal control, or Hamiltonian engineering. Instead, it is formulated as an auditable diagnostic and supervisory interface that maps observed quantum-system trajectories into control-relevant variables. A closed-loop extension is introduced in which the Spiral-Time state informs physically allowed control inputs such as laser phase, pulse timing, magnetic field, gate voltage, measurement basis, cooling schedule, or feedback Hamiltonian terms. The manuscript defines recovery limits, admissibility conditions, validation protocols, falsification criteria, and safety boundaries. Its purpose is to establish a rigorous roadmap for testing whether phase-memory diagnostics can improve regime prediction, stabilization, and auditability in open quantum technologies.

DOI
10.5281/zenodo.20272457

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Recent experiments on dense spin ensembles in defect-rich diamond systems have reported an initially incoherent excitation followed by temporally regular pulse trains that appear remarkably ordered despite strong disorder. We develop a conservative and falsifiable description in which this temporal ordering is consistent with symmetry-driven coherence restoration (SDCR): a selective suppression of dominant decohering channels in an open quantum system through symmetry constraints and collective phase alignment, without postulating new interactions or modifications of quantum mechanics. To parameterize multiscale phase–memory coordination in a minimal way, we introduce a triadic organizational operator ψ(t) = t + iϕ(t) + j χ(t), where ϕ encodes an effective collective phase variable and χ represents a coarse-grained memory or hysteresis degree of freedom. The operator is employed strictly as a bookkeeping device to express structured, perturbative deviations from a baseline Lindblad (or Redfield) description, remaining fully compatible with standard open-system theory. We present (i) a minimal master-equation extension consistent with symmetry selection, (ii) a leakage-based criterion for SDCR, and (iii) explicit, experimentally testable predictions for how pulse-train regularity depends on controlled symmetry breaking via field orientation, detuning, temperature, and disorder strength.
Recent experiments on dense spin ensembles in defect-rich diamond systems have reported an initially incoherent excitation followed by temporally regular pulse trains that appear remarkably ordered despite strong disorder. We develop a conservative and falsifiable description in which this temporal ordering is consistent with symmetry-driven coherence restoration (SDCR): a selective suppression of dominant decohering channels in an open quantum system through symmetry constraints and collective phase alignment, without postulating new interactions or modifications of quantum mechanics. To parameterize multiscale phase–memory coordination in a minimal way, we introduce a triadic organizational operator ψ(t) = t + iϕ(t) + j χ(t), where ϕ encodes an effective collective phase variable and χ represents a coarse-grained memory or hysteresis degree of freedom. The operator is employed strictly as a bookkeeping device to express structured, perturbative deviations from a baseline Lindblad (or Redfield) description, remaining fully compatible with standard open-system theory. We present (i) a minimal master-equation extension consistent with symmetry selection, (ii) a leakage-based criterion for SDCR, and (iii) explicit, experimentally testable predictions for how pulse-train regularity depends on controlled symmetry breaking via field orientation, detuning, temperature, and disorder strength.
We propose that time carries intrinsic memory, encoded in a triadic spiral-time structure Ψ(t) = (t,ϕ(t),χ(t)). In contrast to standard quantum mechanics, where time is treated as a memoryless parameter, spiral-time introduces a non-Markovian temporal substrate from which space, matter, and measurement emerge as effective phenomena. We argue that the projection postulate can be replaced by a dynamical stabilization of time-memory, outline how Born-type statistics may arise as a resonance-time measure, and provide explicit falsification criteria based on process-tensor non-Markovianity and CP-divisibility tests. The triadic phase operator ∆Φ can be formulated as a deterministic observer within a minimal control-theoretic framework [1].