GTUD Digital Rotation Experiment v6.2: Experimental Validation of Rotation in GTUD

This record publishes the GTUD Digital Rotation Experiment v6.2 as an experimental validation of Digital Rotation v6.1. The experiment validates the GTUD-required small-angle quadratic scaling form E(Δθ)∝(Δθ)2E(\Delta\theta)\propto(\Delta\theta)^2E(Δθ)∝(Δθ)2 in a pre-registered coherent digital regime using the operational definition E(k)=2−2C(k)E(k)=2-2C(k)E(k)=2−2C(k) with Δθ=2πk/n\Delta\theta=2\pi k/nΔθ=2πk/n. The primary evaluation is performed for k≤n/16k\le n/16k≤n/16, with an additional out-of-regime point reported as a stress test. Core reported results show a high goodness-of-fit for the origin-constrained quadratic model in the coherent clean condition, while negative controls fail quadraticity, supporting selectivity of the coherence-conditioned mechanism. Reproducibility is treated as a first-class requirement. The package includes raw CSV outputs, code entry points for verification and regeneration, and MD5/SHA256 manifests that anchor this exact release. Verification is performed by matching the manifest through the provided script, making the transformation chain auditable rather than interpretive. Within the GTUD framework, this experiment has direct status implications for rotation as a generative mechanism and this experiment upgrades rotation from a postulate to an auditable, falsifiable instantiation. The v6.2 validation package functions as a proof-of-instantiation: the Δθ\Delta\thetaΔθ-based mechanism is not only postulated but instantiated as a checkable digital process with explicit pass-fail structure. If the v6.2 results reproduce and the v6.1 scaling requirement holds under the stated coherence conditions, the evidentiary status of rotation in GTUD increases because a nontrivial GTUD-derived construct survives falsifiable scrutiny in a fully auditable setting. This record does not claim physical proof of GTUD in nature. It does provide a validated digital instantiation of the Δθ2\Delta\theta^2Δθ2 scaling form and a concrete empirical path for further GTUD testing.