RFL Applications III: Compton Scattering and the Measurement Mechanism

This is the third companion paper to the Relative Field Localization (RFL) framework (RFL v8.0). It presents a physical account of Compton scattering in which the photon is absorbed by the extended charge distribution, the electron gains the photon energy, the charge localizes into a Q-ball at the peak of j^0, and a new photon is re-emitted from the peak. This mechanism provides a direct physical explanation for:• Why the scattered photon loses energy• Why it emerges from a definite spatial location• How energy loss is tied to the localization process The account proceeds in four stages:1. Absorption: The incoming photon is fully absorbed by the extended charge.2. Excitation: The electron gains the photon energy (ΔE_e = E_γ).3. Localization: The gained energy drives the charge to localize into a Q-ball at the peak x_α.4. Re-emission: A new photon is emitted from the peak, carrying the remaining energy E_γ'. Energy conservation is exact:E_γ = E_γ' + E_Q-ball + E_kin In the simplest case, the energy loss is set by the characteristic Q-ball scale:ΔE_γ ~ ħ ω_C The treatment follows the RFL localization law τ_loc = S_RL · L³ · m² and is consistent with the standard Compton result in the appropriate limit. The finite time delay between absorption and re-emission is of order τ_loc. This paper is the third in a series of three companion papers. The other two are:• RFL Applications I: Thermal Effects in Quantum Computing• RFL Applications II: Double-Slit Interference