Free-Electron Lasers from ACORN: Coherent Radiation as Synchronized Odd-Channel Curvature
Year: 2025
Type: article
Abstract: Free-electron lasers (FELs) are traditionally explained through relativistic electron bunching and stimulated emission of synchrotron radiation. While accurate descriptively, this model does not explain the origin of coherence, why brightness scalesquadratically with electron count, or why lasing requires relativistic energies. In thispaper we show that FEL operation follows inevitably from the ACORN framework,in which every massive particle contains two orthogonal curvature channels: a neutraleven component mNE and an electromagnetic odd component meq =43πqe m.The odd channel rotates as a hyperbolic phasor in the (x, cT) plane at the Comptonheartbeat frequency ωC = mc2/ℏ. An undulator does not merely accelerate electrons—it synchronizes their odd-channel curvature phases. Coherence of meq across a beamproduces constructive curvature interference, which projects into 4D as coherent electromagnetic radiation. The FEL gain condition is therefore not primarily spatial bunching, but phase alignment of Compton heartbeat curvature.This interpretation explains FEL coherence, tunability, saturation, brightness scaling, and the need for relativistic energies. It predicts new operational regimes, including heartbeat-limited linewidths and curvature-based gain control, and removes theconceptual dependence on photon exchange models. Electron lasers operate becauseACORNs can be synchronized.
Authors: Morrow, Robert T, ChatGPT(OpenAI)
Institution: OpenAI (United States)
Language: English
Subfield: Electrical and Electronic Engineering
Field: Engineering
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7106821897
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