Reinterpreting the Compton Effect: A Geometric Explanation Without Particles

This work proposes a reinterpretation of the Compton effect (1923) that avoids traditional corpuscular ontology. Instead of interpreting the wavelength shift ∆λ = h (1 − cos θ) as evidence of particle-particle collisions (photon-electron), we present it as a manifestation of a more fundamental geometric principle: the reconfiguration of structured fields under energy conservation constraints. The Compton wavelength ∆λ = h (1 − cos θ) emerges not as a property of particles, but as the natural scale connecting the quantum energy of the electromagnetic field (E = hν) with the relativistic energy of matter ($E = mc^2$). The angle θ represents the geometry of field-structure coupling, not the rebound direction of particles. This perspective integrates consistently with the Gradient Indeterminacy (G-I) framework and the principles of Geometry/Topology, Asymmetry, and Oscillation.