Molecular Vibrational Modes as Perturbations of the Harmonic Vacuum Structure: Relating Spectroscopic Signatures to Curvature Oscillations in the EPVOD Framework
Abstract
This paper extends the Electromagnetic Permittivity Variation and Orbital Dynamics (EPVOD) framework to molecular systems, proposing that molecular vibrational modes are not merely mechanical oscillations of bonded atoms, but dynamic perturbations of the local harmonic structure of the vacuum. These perturbations modulate the localized spacetime curvature fields generated by nuclei, thereby altering permittivity distributions and inducing measurable spectroscopic phenomena. By mapping standard vibrational modes to curvature oscillation patterns, this model offers a geometrically grounded reinterpretation of molecular infrared and Raman spectra.
1. Introduction
Molecular vibrational spectroscopy has traditionally been interpreted through classical and quantum mechanical models, treating atoms as point masses connected by springs. In the EPVOD framework, the vacuum near atomic nuclei exhibits variable permittivity and curvature, forming harmonic structures that guide electron orbitals and mediate interatomic forces. This paper posits that vibrational modes in molecules perturb these harmonic structures, resulting in measurable changes in local vacuum properties that manifest as discrete spectroscopic transitions.
2. Framework Foundations
2.1 Local Curvature in EPVOD
Each atomic nucleus produces a radial harmonic distortion in spacetime, modifying electromagnetic field behavior through variations in vacuum permittivity and permeability. These distortions create quantized electron orbitals and influence atomic interactions.
2.2 Bond Formation and Vacuum Interference
Covalent and ionic bonds arise from overlapping orbital waveguides, where spacetime curvature structures from adjacent atoms merge. The resultant interference pattern determines equilibrium bond lengths and angles. Vibrational modes are perturbations of these merged structures.
3. Vibrational Modes as Geometric Oscillations
3.1 Longitudinal and Transverse Curvature Modulation
Molecular stretching and bending modes can be reinterpreted as longitudinal (radial) and transverse (angular) oscillations in the curvature field. These oscillations modulate local permittivity fields, creating oscillating dielectric environments that interact with incident electromagnetic radiation.
3.2 Harmonic Response of the Vacuum
Assuming the vacuum behaves as a tensioned harmonic medium, nuclear displacement induces a propagating curvature perturbation. The restoring force arises from gradient tensions in permittivity and permeability fields, producing natural frequencies consistent with observed vibrational modes.
4. Spectroscopic Implications
4.1 Infrared Absorption
IR absorption corresponds to coupling between incident photons and oscillating curvature fields. The coupling strength depends on the differential modulation of permittivity and the induced dipole moment in curved space, explaining selection rules from a geometric standpoint.
4.2 Raman Scattering
Raman-active modes emerge from non-linear interactions between curvature perturbations and scattered light. Shifts in permittivity gradients under vibration yield inelastic scattering signatures tied to the harmonics of the vacuum geometry.
4.3 Mode Splitting and Anharmonicity
Anharmonic effects arise from non-linear dependencies of curvature tension with nuclear displacement. Overtone and combination bands reflect second-order perturbations in the geometric structure of merged vacuum fields.
5. Predictive Power of the EPVOD Interpretation
This framework enables:
- Prediction of novel modes in complex molecules by analyzing curvature gradient interference.
- Recalculation of vibrational frequencies using field equations governing vacuum tension.
- Identification of molecular geometry via harmonic mapping of measured spectra to curvature patterns.
6. Experimental Correlation and Validation
Spectroscopic databases can be reinterpreted under EPVOD by numerically simulating the curvature fields of known molecular geometries. Comparison of predicted curvature oscillation frequencies to observed spectra may validate or falsify the geometric basis of vibrational transitions.
7. Conclusion
Molecular vibrational modes, under the EPVOD model, are understood as perturbations of the harmonic curvature structure of the vacuum. This recontextualization connects observed spectroscopic phenomena to spacetime geometry, offering a physically grounded, causally coherent extension of standard models, and enabling predictive insights into molecular behavior and structure.
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