V1R: Phase-Locked Quantum-Plasma Processor Revisited — Claim-Bounded Numerical Audit of Normalization, Resonant Convergence, Stability, Open-System Closure, and Reproducibility

Abstract

V1R is a structured numerical revision of the 2025 report Phase-Locked Quantum-Plasma Processor: Normalized Hamiltonian and Stability Analysis. Rather than treating the original proposal as a validated architecture, the revision decomposes its claims into separately falsifiable numerical audits. The study evaluates normalization and numerical integrity, uncoupled null dynamics, first-order resonance locking, an inertial phase extension, finite-horizon damping and coupling–detuning regions, local Jacobian stability, Floquet/monodromy stability, feedback causality, noise–disorder robustness, finite-Hilbert open-system dynamics, and same-host numerical reproducibility. The resulting evidence supports a bounded classical synchronization and stability benchmark within explicitly declared surrogate models. It also records material negative and corrective results: the tested instantaneous phase-feedback family shows no reproducible non-zero benefit; the dissipator printed as V1 Eq. (7) fails the finite-dimensional physicality audit and is rejected as written; and a separately declared GKSL open-system branch passes the tested trace, Hermiticity, numerical positivity-tolerance, Choi complete-positivity, stationary-state, truncation, and timestep controls. The reproducibility audit distinguishes fixed-configuration replay, scientific invariance, raw-state bitwise equality, and cross-machine reproduction. The frozen fast-math production path is scientifically invariant across the tested thread configurations but is not bitwise identical across thread counts; a strict diagnostic clone restores exact cross-thread state equality. V1R does not establish a realized quantum-plasma processor, quantum advantage, computational speedup, microscopic plasma-bath coupling, a closed plasma Hamiltonian, Rydberg implementation, laboratory performance, or device feasibility. It provides a corrected numerical foundation and evidence ledger from which any future quantum, plasma, computational, or hardware claim must be independently rebuilt and tested. This public release contains symbolic equations, qualitative gate logic, audit dispositions, and 33 curated figures. Exact numerical operating parameters, source code, raw trajectories, thresholds, seeds, machine provenance, and reconstruction-enabling records remain private.