QCD. What else is needed for the Proton Structure Function?

TL;DR

This paper explores the foundational role of the quark-model wave function in the proton, demonstrating how Lorentz boosts reveal parton behavior and linking quantum mechanics limitations to entropy increase and a quark plasma state.

Contribution

It introduces a wave function-based approach to the proton structure, emphasizing the importance of Lorentz boosts and the hidden time-separation variable in understanding parton distributions.

Findings

Lorentz-boosted wave functions exhibit Feynman's parton features

Time-separation plays a key role in the boosting process

Quantum mechanics limitations lead to entropy increase and a quark plasma state

Abstract

While QCD can provide corrections to the parton distribution function, it cannot produce the distribution. Where is then the starting point for the proton structure function? The only known source is the quark-model wave function for the proton at rest. The harmonic oscillator is used for the trial wave function. When Lorentz-boosted, this wave function exhibits all the peculiarities of Feynman's parton picture. The time-separation between the quarks plays the key role in the boosting process. This variable is hidden in the present form of quantum mechanics, and the failure to measure it leads to an increase in entropy. This leads to a picture of boiling quarks which become partons in their plasma state.