Algebraic Nuclear Surfaces in String Space

Abstract

We show by algebraic methods that the requirement that a nucleon be a representation of the space in which we live, i.e. an irreducible representation (IR) of Lorentz space, is already sufficient to guarantee a dipolar or quadrupolar shape. Then when odd-A nuclei are modeled by the tensor product, it is found that these representations lie in a Calabi-Yau or string space. In this way a nucleus is bound by strings of electric flux lines generated by the spinning protons which dispenses with the ’strong’ force. The mesons are the quanta of the string field. Additional achievements of the model are CP - invariance, canonical state labeling and a fiberation that not only introduces a Yang-Mills field but also leads to the well-known angular momentum operators for a coupled system of P protons and N neutrons which together with their dual operators constitute the six generators of O(4). Also the tensor product dictates a system of entangled nucleons in a spin lattice.