Conformal relativity, a theory of mass. I - Survey of theoretical results. II - Special conformal relativity
Conformal relativity is defined as the theory in which the conformal group replaces the Poincare group as the basic spacetime symmetry group of the world. The status quo in relativistic physics is briefly reviewed, and contributions of conformal relativity to the solution of various problems concerning particle masses are outlined; the problems relate to field-free theory, internal symmetries, and particle interactions. The extension from special to general conformal relativity is briefly discussed, a theory of coupling constants is examined, and it is noted that conformal relativity predicts the existence of 'parity twins'. The conformal geometry of spacetime is then described, emphasizing the physical content. Expressions for the momentum, energy, and mass of classical particles are derived on the basis of the conformal geometry of spacetime. Expressions are also obtained for the 4-momentum and rest mass of a classical particle in special conformal relativity.