ISOREPRESENTATIONS OF THE LIE-ISOTOPIC SU(2) ALGEBRA WITH APPLICATIONS TO NUCLEAR-PHYSICS AND TO LOCAL REALISM

In this note, we study the nonlinear-nonlocal-noncanonical, axiom-pres erving isotopies/Q-operator deformations <S(U)over cap (Q)>(2) of the SU(2) spin-isospin symmetry. We prove the local isomorphism <S(U)over cap (Q)>(2) approximate to SU(2), construct and classify the isorepres entations of <S(U)over cap (Q)>(2), identify the emerging generalizati ons of Pauli matrices, and show their lack of unitary equivalence to t he conventional representations. The theory is applied for the reconst ruction of the exact SU(2)-isospin symmetry in nuclear physics with eq ual p and n masses in isospaces. We also prove that Bell's inequality and the von Neumann theorem are inapplicable under isotopies, thus per mitting the isotopic completion/Q-operator deformation of quantum mech anics studied in this note which is considerably along the celebrated argument by Einstein, Podolsky and Rosen.