Lorentz Coherence and the Proton Form Factor

TL;DR

This paper explains the dipole cutoff behavior of the proton form factor as a result of Lorentz contraction coherence with photon wavelength reduction, analyzed through wave function overlap in momentum-energy space.

Contribution

It introduces a novel explanation linking Lorentz contraction and photon wavelength decrease to the proton form factor behavior, using wave function overlap analysis.

Findings

Dipole cutoff arises from Lorentz contraction and photon wavelength coherence.

Coherence effect can be modeled with overlapping wave functions.

Provides a new perspective on proton structure in high-energy physics.

Abstract

The dipole cutoff behavior for the proton form factor has been and still is one of the major issues in high-energy physics. It is shown that this dipole behavior comes from the coherence between the Lorentz contraction of the proton size and the decreasing wavelength of the incoming photon signal. The contraction rates are the same for both cases. This form of coherence is studied also in the momentum-energy space. The coherence effect in this space can be explained in terms of two overlapping wave functions.