Gravitational Manipulation Theory v3.1 — H6 E7 Cross-Environment Self-Replication Result and R1 Equivalence Record

This dataset records the H6 E7 cross-environment self-replication result for the Gravitational Manipulation Theory v3.1 synthetic representative mechanism-verification workflow. The replication request was externally fixed before execution at DOI 10.5281/zenodo.22161172. The request package contained 54 seed-free frozen InputObject values, a standalone numerical runner, the registered R1 acceptance conditions, and a SHA-256 commitment to the withheld official H6 reference values. The request package and its principal files were downloaded from Zenodo on a Windows machine and verified against their frozen SHA-256 values before execution. Koji Okino then executed the registered runner using Windows 11, CPython 3.14.3, and AMD64. The official per-cell observable values were not supplied before creation of the Windows result artifact. This execution is classified as: CROSS_ENVIRONMENT_SELF_REPLICATION_NOT_INDEPENDENT It is a cross-environment comparison performed by the original researcher. It is not an independent executor result, independent implementation, third-party audit, or independent certification. The comparison results were: Cell count: 54All observables within tolerance: trueExact ordered-vector match: trueMaximum absolute difference: 0.0Predicate-boolean invariance: trueTerminal-decision invariance: trueReplicated terminal state: TRANSFER_FAILUREOverall comparison status: PASS The registered numerical acceptance condition was: |a − b| ≤ atol + rtol × |b| with: atol = 1 × 10⁻⁹rtol = 1 × 10⁻⁶ All 54 Windows observables were bit-identical to the original Linux reference values. The ordered-output digest was: 22b81f77eb0a22ad7694521b49a4c0b8ce3aad41397435d1dba3402f468bae87 The submitted Windows result SHA-256 was: f6f137b42d682035395a109850f3b02038376197eb14194bcde0354fe446540a The official reference SHA-256 was: 03d2bea6896be3bdee880c347607fe0482ac35811703698e01a9a6febc9d5e09 This value matched the official-reference commitment published before the Windows result was produced. The following registered predicates were reproduced without change: direction_ok = truemagnitude_ok = trueuncertainty_ok = falserecovery_ok = trueindependence_ok = truemultiplicity_ok = falsenull_region = falseofficial_permitted = trueterminal_state = TRANSFER_FAILURE The invariant TRANSFER_FAILURE state means that the frozen transfer-success predicates were not all satisfied in the valid H6 synthetic run. It is distinct from INVALID_RUN and does not constitute evidence for or against experimental gravitational manipulation. This result closes the cross-environment self-replication item for the frozen synthetic representative Kernel-R1 path. Independent replication and independent implementation remain unfulfilled future requirements. This dataset does not establish a formal independent audit, physics-kernel integration, measured-data validation, experimental gravitational manipulation, security certification, production qualification, or completion of Gravitational Manipulation Theory v3.1.