What if the positron never existed ? What if the antielectron is a negative mass electron ?

Abstract

Although the question of negative energy solutions of the Dirac equation did not receive any relevant answer, it has been incorrectly said that the Dirac Sea Hole theory predicted the existence of the positron. Now several authors have considered the possible existence of negative mass particles. us We show that the concept and the definition of the antielectron should be re-examined, and should be understand in a way which is fully compatible with Dirac negative energy states of electrons, i.e. with negative masses. The symmetry between positive and negative energy states in the Dirac equation leads to add the mass inversion M as a new symmetry to the CPT group, giving the MCPT group. We discuss the completeness of the Wigner theorem and the definitions of time reversal. Furthermore negative masses have been recently applied to Cosmology.