Advanced Theoretical Physics and Mathematics

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Published October 17, 2025 | Version Version 1.4 – October 2025
Preprint Open

The Oxygen Octave – Foundations: Quantitative Correlations Across Vibrational Systems

Authors/Creators

Description

Abstract

Version 1.4 of The Oxygen Octave – Foundations: Quantitative Correlations Across Vibrational Systemsintroduces major theoretical and structural expansions that consolidate the model as a unified framework of vibrational coherence across physical, biological, and cosmological scales.

This edition adds Section 7 – Evolutionary and Cross-Scale Frameworks of Oxygen, establishing the bridge between molecular vibration, planetary dynamics, neural energetics, and cosmic oxygen distribution.

Sections 8 and 9 have been extended with comparative and experimental corroborations, connecting the model with validated domains such as quantum biology, neuroenergetic resonance, and astrochemical oxygen gradients.

The framework now presents oxygen as a universal medium of coherence, preserving harmonic invariants (φ ≈ 1.618, √2 ≈ 1.414, 3⁄2 ≈ 1.5) across domains — from O₂ and H₂O molecular vibrations to mitochondrial bioenergetics and astrophysical spectra.

The model integrates empirical datasets (NIST, HITRAN) with cross-domain observations, demonstrating that vibrational geometry and harmonic proportion form the structural language of energy organization in nature.

This Revised & Expanded Edition (v1.4) supersedes version 1.3 (October 2025) and constitutes the definitive Foundations release before the initiation of replication and experimental modules.

Data Availability:

All datasets referenced in this work are publicly accessible via NIST, HITRAN, JPL, and IUPAC.

AI-based ratio extrapolations (Grok 2025) are available upon request.

Researchers, collaborators, or institutions interested in testing or expanding this hypothesis are invited to connect and explore possible lines of validation together


Jaime Ojeda
Jaime.ojse@gmail.com

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The Oxygen Octave- Foundations- Quantitative Correlations Across Vibrational Systems .pdf

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Additional details

Dates

Submitted
2025-10-06
Submitted for public preprint release

References

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