OXYGEN OCTAVE — Research Note II: Geometry–Thermal Invariance Across Scales
Abstract (Index)
This research note explores a proposed geometry–thermal invariance principle, suggesting that certain curvature-dependent vibrational features observed in oxygen-based molecules may persist across scales.
The work examines whether localized vibrational amplification—identified in constrained molecular geometries—can serve as an organizing motif linking molecular spectroscopy, thermal behavior, and larger resonant structures.
Rather than claiming direct physical coupling between scales, the note frames these observations as structural analogies constrained by geometry, intended to be testable within each domain independently.
Within the Oxygen Octave project, this document functions as a cross-scale hypothesis registration, motivating further experimental and computational validation without asserting a unifying law.
Detailed data, numerical estimates, and domain-specific discussions are provided in the full Zenodo record.
