The Hierarchy Problem and the Safety in Colliders Physics

TL;DR

This paper discusses the hierarchy problem, potential extensions of quantum field theory like nonlinear equations and Third Quantization, and comments on collider safety within these theoretical frameworks.

Contribution

It introduces the idea of nonlinear quantum field theory extensions and Third Quantization as solutions to the hierarchy problem and examines their implications for collider safety.

Findings

Proposes nonlinear QFT as a solution to the hierarchy problem.

Suggests Third Quantization as an alternative extension.

Comments on collider safety in the context of nonlinear QFT.

Abstract

The Standard Model correctly describes all interactions at (and below) the electroweak scale. However it does not explain the peculiar pattern of quark, lepton and neutrino masses. Also charge quantization is not understood. These are well known motivations to go beyond the Standard Model and to build a Grand Unified Theory. This extension has several good predictions but the proton lifetime is huge compared to similar weak decays. This hierarchy problem suggests two possible extensions of the standard quantum field theory: a non linear version of the Schroedinger functional equation and Third Quantization. We will make a comment on the safety of collider physics in the context of the non linear extension of QFT.