Reformulating Special Relativity on a Two-World Background II

Abstract

The exposition of the two-world background of the special theory of relativity started in the first part of this paper is continued in this second part. The negative sign of mass in the negative universe is derived from the generalized mass expression in special relativity (SR) in the two-world picture. Four-dimensional inversion is shown to be a special Lorentz transformation in the two-world picture. Also by starting with the negativity of spacetime dimensions (that is, negativity of distances in space and of intervals of time) in the negative universe, derived in part one of this paper, and requiring the symmetry of natural laws between the positive and negative universes, the signs of mass and other physical parameters and physical constants in the negative universe are derived and tabulated. The invariance of natural laws, including the fundamental interactions, in the negative universe is demonstrated. The derived negative sign of mass in the negative universe is a conclusion of a century and a score years of efforts toward the incorporation of the concept of negative mass into physics. It is shown that the anti-particles observed in our universe originate from the negative universe, and conversely, but how a particle can make transition across the event horizon separating the universes without hitting singularity in the Lorentz transformation is as yet unexplained. Experimental test of the two-world picture depends on the possibility of exchange of particles between the two universes without hitting the singularity in LT at the point of making transition across the universes.