Oscillatory Field Dynamics for Mass Emergence, Lensing, and Structure Formation

This paper introduces a new theoretical framework for understanding mass emergence, gravitational lensing phenomena, and structured cosmic formation, grounded entirely in oscillatory field dynamics.

We propose that the universe’s large-scale structures, localized mass concentrations, and field-induced lensing effects arise naturally from structured oscillations of foundational fields — not from gravitational curvature or hypothetical dark matter components.

Centered around a trinary field cascade (Ψ→Φ→Ξ\Psi \to \Phi \to \XiΨ→Φ→Ξ), the framework formalizes how potential oscillations (Ψ\PsiΨ) evolve into transformation fields (Φ\PhiΦ), which stabilize into structured identity fields (Ξ\XiΞ) that govern observable mass and lensing effects.

A master action is constructed, incorporating finite collapse damping to ensure ultraviolet completeness without traditional renormalization. Eight derived working laws are presented, covering energy–mass emergence, boundary oscillation stability, curvature thresholds, and oscillatory lensing deflection mechanisms.

Early-universe structure formation is hypothesized to proceed via a bifurcation cascade, with critical thresholds encoded by the Feigenbaum constant δF\delta_FδF, offering a structured alternative to standard inflationary exit models.

Preliminary simulations demonstrate key UOE behaviors, including oscillatory field lensing consistent with observed cluster anomalies and finite loop corrections matching QED precision tests such as the hydrogen Lamb shift.

This work establishes a foundational framework for future explorations into oscillatory-driven cosmology, field-structured emergence, and next-generation experimental tests.