Isorepresentations of the Lie-Isotopic SU(2) Algebra with Applications to Nuclear Physics and to Local Realism

Author: Santilli R.M.

Source: Acta Applicandae Mathematicae, Volume 50, Numbers 1-2, January 1998 , pp. 177-190(14)

Publisher: Springer

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Abstract:

In this note, we study the nonlinear-nonlocal-noncanonical, axiom-preserving isotopies/Q-operator deformations SÛ_Q(2) of the SU(2) spin-isospin symmetry. We prove the local isomorphism SÛ_Q(2)SU(2), construct and classify the isorepresentations of SÛ_Q(2), identify the emerging generalizations of Pauli matrices, and show their lack of unitary equivalence to the conventional representations. The theory is applied for the reconstruction of the exact SU(2)-isospin symmetry in nuclear physics with equal p and n masses in isospaces. We also prove that Bell’s inequality and the von Neumann theorem are inapplicable under isotopies, thus permitting the isotopic completion/Q-operator deformation of quantum mechanics studied in this note which is considerably along the celebrated argument by Einstein, Podolsky and Rosen.