The dynamics of spatially confined oscillations

The possible relation of the wave nature particles to gravitation as an emergent phenomenon is addressed. Hypothetical are considered spatially confined oscillations (SCOs) and constructed through superposition plane waves. effect a continuously changing refractive index (speed propagation field) on SCOs calculated continuous Ibn-Sahl--Snell law refraction derived. Refracted constituents in inhomogeneous medium cause oscillation whole accelerate entity. This acceleration described by geodesic equation, much same way general relativity. proper time SCO can be defined via its frequency. change along trajectory equivalent particle relativity 0th component equation. An field exhibits relativistic properties based basic mechanics. Properties derived from direct calculations length contraction, gravitational red- blueshift Thomas precession. presented theory approximation for which small compared changes field. may thus yield naturally emerging particle-field interaction with allow useful vantage point using classical-wave experiments.