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Calibration-First Deterministic Standing-Wave Qubit Control from the Refined Space–Time Membrane Model

Year: 2026
Type: preprint
Abstract: We present an artefact-driven simulation study of calibration-first deterministic standing-wave qubit control derived from the calibrated scalar sector of the Refined Space–Time Membrane (STM) model. Starting from the STM governing equation written in SI force-density form, we show that coherence scales, gate-timing windows, stability margins, and spectral constraints can be derived directly from the calibrated elastic operator together with a single empirically extracted damping parameter, without invoking additional quantum postulates or phenomenological tuning. These quantities are treated operationally as stability and timing proxies that define an explicit admissible operating envelope for a given measured embodiment.A paired simulation pipeline is employed. Full-field spectral integration of the STM partial differential equation is used to extract the carrier frequency and coherence scales from a no-pump ring-down response while simultaneously verifying operator positivity. A reduced two-mode envelope model, calibrated directly against the governing equation, is then used to synthesise single- and two-qubit operations and to evaluate timing, slew, stability, and spectral hygiene under a uniform, windows-first acceptance policy. Interferometric, region-coupled, and sub-threshold parametric control routes are exercised within the same framework.Parametric operations are certified by exact Floquet analysis, demonstrating strictly below-threshold stability with explicit margin rather than heuristic thresholding. Robustness is assessed via multi-mode leakage tests and closed-loop noise injection, with all accepted operations satisfying the declared coherence, stability, and read-out constraints simultaneously. All reported quantities are populated exclusively from machine-readable artefacts generated by the build pipeline.The results establish a reproducible operating envelope for deterministic standing-wave qubit control in silico, conditional on the empirically measured damping rate and carrier response of the embodiment under test. In this role, the envelope may be interpreted operationally as a device-level acceptance boundary that distinguishes admissible from non-admissible regimes for deterministic execution. Within its declared scope, this study provides a concrete and falsifiable bridge between continuum STM dynamics and qubit-level control metrics, offering an extensible and platform-agnostic framework for resonant or wave-based qubit implementations.
Author: Paul Swann
Open Access status: green
OpenAlex ID: W7128611338
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