IBM Quantum Hardware Validation of the PRISM Framework: Cross-Platform Verification on Superconducting Qubits

Numerical coincidence—no matter how precise—is insufficient proof of physical reality. To distinguish structural necessity from chance, we translate the arithmetic hypothesis into a computational problem executed on fundamentally different quantum hardware. This study presents cross-platform validation of the PRISM framework on IBM Quantum superconducting hardware (ibm_fez, Heron r2, 156 qubits). Eight test suites with 55+ circuits and 50,000+ shots establish three key results: 1. Algorithmic Universality: The high correlation (r > 0.96) between results from trapped-ion (IonQ) and superconducting (IBM) processors confirms that observed patterns are intrinsic to the arithmetic algorithms, not artifacts of specific quantum noise or decoherence. 2. Logical Selectivity: The vacuum state functions as a physical NOR gate with 16× discrimination contrast, accepting valid Riemann-mass configurations while rejecting invalid ones. 3. Spectral Convergence: The Pólya-Hilbert operator demonstrates sharp spectral gaps; 10% parameter perturbation causes 76% phase collapse for high-mass states, indicating precise spectral lock rather than broad curve fitting. Hardware Independence: PRISM predictions hold across fundamentally different quantum architectures, ruling out hardware-specific artifacts. All 55 tests passed with combined statistical significance p < 10⁻³⁰.