TITLE:
The Role of Density of Physical Variable
AUTHORS:
Eliahu Comay
KEYWORDS:
Physical Principles, Locality Attributes, Quantum Theories, Coherence Tests
JOURNAL NAME:
Open Access Library Journal,
Vol.9 No.4,
April
6,
2022
ABSTRACT: The concept of density in quantum theories of an elementary particle is discussed. Density is, at least implicitly, recognized in contemporary textbooks on quantum field theories, where the Noether theorem is utilized for a derivation of a conserved 4-current j,μμ=0 and a conserved energy-momentum tensor T,νμν=0. Here the component j0 is the particle’s density and the components Tμ0 are the energy-momentum density. The novelty of this work is the analysis of the particle’s density and the energy-momentum density of these expressions and their application to several specific quantum theories. As of today, these tasks have not been adequately accomplished in contemporary textbooks. The results show that the first-order Dirac theory of an elementary massive spin-1/2 particle yields consistent results. In contrast, second- order quantum theories, such as the Klein-Gordon theory, the electroweak theory of W±, Z the particles, and the Higgs boson theory are inherently wrong.