Aesthetic field theory: A lattice of particles
Murray Muraskin · Hadronic J.; (United States) · 1984
Several solutions to the Asethetic Field Equations have been found which are characterized by a large number of finite magnitude particles arranged in a regular 3 dimensional lattice. The regular patern suggests that the number of particles is infinite. A particle is characterized by a maximum (minimum) in the field in 3 spatial dimensions. As time evolved our computer studies showed that the lattice structure is maintained. The solutions found do not satisfy the nonlinear algebraic integrability equations, and thus an integration path has to be specified. Attempts were made to satisfy integrability by ''grafting'' other components to the lattice solutions. Integrability was in this manner satisfied. However, the lattice structure was totally lost in the cases studied.