The Four Aspects of Matter and Radiation

Abstract

Are an electron and a positron the same thing? In the essence, they are. As are a co-electron and a co-positron. In fact, these are all four manifestations of a single entity, their matrix-particle. The idea is advocated here that there are four possible aspects for massive or massless particles to manifest in whatever reference frame; and this is because Special Relativity admits four variations to standard Lorentz transformations: two basic variations, bradyonic and pseudotachyonic, applying to respectively subluminal and superluminal reference frames; and two others, derived from these ones by simply reversing time. Pseudotachyonic Relativity (PtR), proposed some years ago, show that even though it is impossible to directly detect tahcyons (particles moving faster-than-light), one can detect their co-particles, their images moving slower-than-light but with opposite energy, mass and charge. In the process, negative energies naturally arise in Special Relativity, which is quite relevant in ?eld theory. One also concludes that time ?ows in two opposite senses in the Universe and this is why classic theories are essentially time-reversible. The news here come from the discussion of Dirac equation for the electron and how negative energy turns into positive. One discovers that this equation applies as well to negative mass and ?nally that its positive and negative solutions are related by antibradyonic Lorentz transformations; i.e., concerning Relativity, this explains why each particle has an antiparticle: they are the same. More, Dirac equation agrees with the proposed Quadrivalent Special Relativity in the conclusion that each particle, in a wide sense, may appear (or manifest itself) in one of four aspects, four versions of a single root the matrix-particle , depending on its mass-energy signature: 1) straight particle; 2) antiparticle (with negative-energy); 3) PtR co-particle (also with negative-energy); 4) and co-antiparticle. This conclusion also applies to massless particles, such as photons, with an equivalent alignment-energy signature.