Perspective Chapter: The Proton’s Theoretical Description, Based on Wigner-Segal Approach to Elementary Particles

Abstract

The chapter focuses on the Multi-Level Model (MLM), a conceptual framework proposed by Levichev. The essence of the MLM is the amalgamation of Segal’s chronometry and the Standard Model (SM), a fundamental theory in particle physics. The potential applications of MLM in proton therapy are predicated on the concept of the infinite-dimensional space denoted as Fp, encompassing the entirety of proton wave functions. The inherent properties of Fp-elements f are outlined. This analysis then proceeds to capture distinct instances (“snap shot photos”) of these functions at the temporal instant t = 0. The corresponding graphical representations of these functions are elucidated using precise geometric terminology. Specifically, two distinct types of graphs are identified: ND) a bell-shaped surface lacking a central depression, and WD) a bell-shaped surface featuring a central dent. In an endeavor to establish a connection between these mathematical revelations and proton therapy dosimetry, the exploration delves into a comparison of various classes of functions f from Fp with those produced within diverse proton therapy vaults. This integration proposes the incorporation of a novel ingredient into dosimetry, namely, the incorporation of the proton’s wave function. This innovative approach holds promise for refining proton therapy techniques and enhancing treatment precision.