TL;DR
This paper provides a rigorous, elementary proof of how fundamental observables in a statistical system transform under Lorentz transformations, based on principles of Relativistic Quantum Mechanics.
Contribution
It offers a new, elementary proof of the relation between observables in different inertial frames within relativistic quantum systems.
Findings
Confirmed the transformation properties of observables under Lorentz boosts.
Provided a rigorous proof based on fundamental principles.
Clarified the relation between measurements in different inertial frames.
Abstract
Based on the fundamental principles of Relativistic Quantum Mechanics, we give a rigorous, but completely elementary, proof of the relation between fundamental observables of a statistical system when measured relatively to two inertial reference frames, connected by a Lorentz transformation.
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