I’m investigating whether mass, traditionally treated as a scalar quantity in both classical and quantum contexts, has ever been formally modeled as an emergent feature of oscillatory compression, that is, as a localized node in a recursive waveform structure, but still expressible at macroscopic scales as a scalar value.

In the Oscillatory Dynamics Transductive-Bridging Theorem (ODTBT), mass arises at points of compression in a sine-cosine oscillatory field, with these nodes functioning as standing waves or transductive stabilizations of energy. From this view, mass is a field-resonant phenomenon, not fundamental per se, but emergent from the phase geometry of a dynamic system. Yet, at the point of measurement, it resolves to a static scalar output (e.g., rest mass energy (m0*c^2).

Has this dynamic-to-static duality been formally addressed in:

• Wave mechanics, soliton theory, or nonlinear field theory?
• General relativity (e.g., curvature concentration as mass)?
• Quantum field theory (e.g., Higgs field or vacuum condensation)?
• Thermodynamic models with feedback-induced mass effects?

I'm particularly interested in models where mass is understood as a functional product of oscillatory boundary conditions, yet observably scalar at equilibrium or in measurement regimes.

Any insights, references, or analytic treatments are welcome.