Photon Interactions in Dense Medium vs. External Gravitational Field in Extended Classical Mechanics (ECM)

Abstract

The bending of light at the interface of a dense medium (refraction) and the bending of light near a massive body (gravitational lensing) are examined within Extended Classical Mechanics (ECM) as force-based energy–momentum interactions. The paper distinguishes the externally observable optical frequency f₀, which is restored so that fₒ = fᵢ = f₀, from a transient ECM interaction-state frequency f_ECM = f₀ + Δf_int associated with local photon–medium coupling. The exchange component is therefore ΔE_int = hΔf_int, with an equal and opposite bound-electron response. The formulation also separates the free/asymptotic photon momentum p₀ = hf₀/c from the ECM interaction momentum p_ECM = p₀ + Δp_int, while the optical wavelength in the medium is defined independently as λ_medium = v_phase/f₀ = c/(nf₀). Boundary phase continuity yields Snell’s law, while the transverse ECM force is represented through F_ECM = dp_ECM/dt. The paper compares this proposed dense-medium mechanism with the author’s ECM treatment of gravitational photon interactions and identifies the remaining quantitative problems of bulk-versus-boundary exchange, effective-medium mass/resistance, and the relation between transverse impulse and the observed Snell angles.