Are an electron and a positron the same thing? In the essence, they are. As are a co-electron anda co-positron. In fact, these are all four manifestations of a single entity, theirmatrix-particle. Theidea is advocated here that there are four possible ‘aspects’ for massive or massless particles tomanifest in whatever reference frame; and this is because Special Relativity admits four variations tostandard Lorentz transformations: two basic variations,bradyonicandpseudotachyonic, applying torespectively subluminal and superluminal reference frames; and two others, derived from these onesby simply reversing time. Pseudotachyonic Relativity (PtR), proposed some years ago, show thateven though it is impossible to directly detect tahcyons (particles moving faster-than-light), one candetect theirco-particles, their ‘images’ moving slower-than-light but with opposite energy, mass andcharge. In the process, negative energies naturally arise in Special Relativity, which is quite relevantin field theory. One also concludes that time flows in two opposite senses in the Universe and this iswhy classic theories are essentially time-reversible. The news here come from the discussion of Diracequation for the electron and how negative energy turns into positive. One discovers that this equationapplies as well to negative mass and finally that its positive and negative solutions are related by‘antibradyonic’ Lorentz transformations; i.e., concerning Relativity, this explains why each particlehas an antiparticle: they are the same. More, Dirac equation agrees with the proposed QuadrivalentSpecial 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 –thematrix-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. Thisconclusion also applies to massless particles, such as photons, with an equivalent alignment-energysignature.
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