Abstract
If the reality underlying classical physics is quantum in nature, then it is reasonable to assume that the transformations of fields, currents, energy, and momentum observed macroscopically are the result of averaging of symmetry groups acting in the Hilbert space of quantum states of elementary constituents of which classical material bodies are formed. We show how Pauli’s exclusion principle based on the discrete Z 2 symmetry group generates the S L ( 2 , C ) symmetry of the space of states of an electron endowed with spin. Then, we generalize this reasoning in the case of quark colors and the corresponding Z 3 symmetry. A ternary generalization of Dirac’s equation is proposed, leading to self-confined quarks states. It is shown how certain cubic or quadratic combinations can form freely-propagating entangled states. The entire symmetry of the standard model, S U ( 2 ) × U ( 1 ) × S U ( 3 ) , is naturally derived, as well.
Highlights
Since the advent of quantum physics, great care has been taken to demonstrate that all quantum phenomena, when averaged over a great number of events and measurements performed on the atomic scale, lead to the well-known classical limits
“correspondence principle” a central point in his construction of quantum theory of matter. It can be stated without any doubt left that quantum physics is primordial with respect to other observable phenomena perceived by us on the classical level
The fundamental symmetries of classical physics take their source in the underlying symmetries of the deeper quantum reality
Summary
Since the advent of quantum physics, great care has been taken to demonstrate that all quantum phenomena, when averaged over a great number of events and measurements performed on the atomic scale, lead to the well-known classical limits. Equation (1) creates a bridge between the two totally different realms: the space-time accessible via classical macroscopic observations and the Hilbert space of quantum states It can be interpreted in two opposite ways, depending on which side we consider as the cause and which one as the consequence. Μ0 x μ (Sψ, ψS) = Λμ (S) x μ (ψ, ψ) This form of the same relation suggests that it is the transition from one quantum state to another, represented by a unitary transformation S that is the primary cause implying the transformation of observed quantities such as the electric four-current and, as a consequence, the apparent transformations of time and space intervals measured with classical physical devices. Before considering these, which describe the forces conveyed by gluons and acting among quarks constituting hadrons, let us first see how the Lorentz group appears through the SL(2, C) group action on fermions, in particular on the electron states
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
