Quantum Field Theory Validation of Rate Field Theory

Rate Field Theory Cross-Domain Validation: Final Results. XOps360 LLC. Principal investigator: Adam Bishop. Development ID: STRATUM-DEV-003. Datasets: IBM Quantum Willow chip (surface code distances 3, 5, 7; ~10K error events per distance) and Google Ankaa-2 (8-qubit rotated surface code, 1000 shots × 8 circuits). Test 1 — Exponential Scaling: CONFIRMED. R² = 0.998 on exp(-B×distance). Consistent with RFT but also standard QEC theory; necessary but not sufficient evidence. Test 2 — Critical Boundary: PARTIAL. Performance cliff at decoder_error 0.38–0.41 vs predicted 1/e ≈ 0.368. Boundary exists; location imprecise relative to prediction. Test 3 — Polarity Structure: NOT CONFIRMED. PCA analysis complete. Q2 (projected cosine on raw vectors, no mean-centering): cos = +1.000 across all PC subspaces with confidence intervals entirely above zero, before and after artifact correction. High and low coherence groups point in the same direction — magnitude difference, not directional structure. A mean-centering artifact in Q3 was identified and corrected; this prevented a false positive but did not change the conclusion. The ~0.1% departure from +1.000 is not orthogonal polarity structure. Test 4 — Three-Layer Temporal Structure: NOT CONFIRMED at shot resolution. Optimal lag = 0 across all three datasets. FPGA decoder latency (~1µs) is below shot cadence (~15µs); long-timescale data would be required for complete falsification. Final conclusion: Bounded Rate Field Theory. RFT describes information propagation in classical network and digital systems. BGP Networks: polarity inversion confirmed (cos = -0.97). Market Field Theory: three-field structure operational. Digital Asset Networks: bidirectional relationships validated. Quantum error correction: structural regime differs from classical hidden-rate domains. Cross-domain validation establishes precise theoretical scope. Publication paths: domain boundary paper (Physical Review X / Nature Communications) or methodological framework paper (Journal of Computational Physics). Code repository: rft-quantum-validation.