Hardware Timing Jitter Amplification via Kahan-Stable Lorentz Integration

We present a hardware-grounded manifold generation pipeline that amplifies CPU timing jitter into a structured three-dimensional strange attractor via Kahan-stable Lorentz integration.The pipeline measures nanosecond-precision execution jitter from SHA-256 operations and injects this as a perturbation into the Lorentz differential system (σ=10, ρ=28, β=8/3). Floating-point drift is eliminated via Kahan Compensated Summation and subsequently locked to a 1e-16 precision grid (SAP Grid Lock, Pillar I). The output is exported as a deterministic binary stream (.sap format, Big-Endian float64, 24 bytes per step) and certified via SHA-256 canonical audit hash. Each generated manifold constitutes a Verifiable Edge Artifact (VEA): a hardware-fingerprinted, tamper-evident dataset anchored to the physical state of the generating machine at generation time. The pipeline achieves 10,000 integration steps in 7.93 ms on Apple M4 (24GB unified memory). The system is deterministic given fixed jitter input, and stochastic across runs by design: each run reflects unique hardware timing, producing a unique canonical hash. This property is not a limitation but the intended behaviour — the hash certifies that the artifact was generated on specific hardware at a specific moment, providing a non-reproducible physical anchor.