Quantum Fields and Translations

TL;DR

This paper introduces a novel approach to quantum field calculations using translation concepts, leading to classical trajectories for massive particles and offering an explanation for high-energy cosmic rays, with potential tests at the LHC.

Contribution

It presents a new method linking translation representations to quantum fields, explaining cosmic ray energies and predicting testable outcomes at high-energy colliders.

Findings

Quantum fields for massive particles follow classical trajectories.

Provides an explanation for high-energy cosmic rays.

Suggests testable predictions at the Large Hadron Collider.

Abstract

Modifications of a free quantum field calculation using translation-related concepts and general translation representations yield quantum fields for massive particles that as a consequence follow the classical trajectories of electrodynamics and geometrodynamics. The work allows an explanation for the unexpectedly high energy of cosmic rays. The explanation can be tested at the Large Hadron Collider once high energy proton beams are operational.