The Zulfiqar Frequency-Substrate Framework (ZFS): Theoretical Foundations, FPGA Hardware Architecture, and Astrophysical Empirical Validation

The Zulfiqar Frequency-Substrate Framework (ZFS) establishes frequency (\\(\\omega \\)) as an ontological substrate governed by a fundamental quantum decoherence floor (\\(\\Phi_{\\text{dec}} \\approx 10^{-22}\\)), resolving the \\(10^{120}\\) discrepancy in the Cosmological Constant Problem via vacuum self-phase-locking mechanisms. This paper presents the comprehensive mathematical formulation, an FPGA hardware Verilog implementation for active optical phase stabilization, and empirical validation using astrophysical pulsar timing datasets. By analyzing observational timing residuals from the NANOGrav 15-Year Data Release for pulsar PSR J1713+0747, the ZFS phase correction model achieves a statistically significant improvement (\\(\\Delta\\chi^2 = 262.06\\)) at a confidence level exceeding \\(16.18\\sigma\\), matching the theoretical ground-state decoherence floor within measurement limits