## __2017-Sustainable Industrial Processing Summit__

SIPS 2017 Volume 6. Mathematics, Multiscale Mechanics, Coatings

Editors: | Kongoli F, Masset P, Rokicki P |

Publisher: | Flogen Star OUTREACH |

Publication Year: | 2017 |

Pages: | 142 pages |

ISBN: | 978-1-987820-71-3 |

ISSN: | 2291-1227 (**Metals and Materials Processing in a Clean Environment Series**) |

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## On the Negative-Energy 4-Spinors and Masses in the Dirac Equation

**Valeriy
Dvoeglazov**^{1};

^{1}UNIVERSIDAD DE ZACATECAS, Zacatecas, Mexico;

**Type of Paper:** Regular

**Id Paper:** 36

**Topic:** 38## Abstract:

It is easy to check that both algebraic equation $Det (hat p - m) =0$ and $Det (hat p + m) =0$ for $u-$ and $v-$ 4-spinors have solutions with $p_0= pm E_p =pm sqrt{{bf p}^2 +m^2}$. The same is true for higher-spin equations. Meanwhile, every book considers

the equality $p_0=E_p$ for both $u-$ and $v-$ spinors of the $(1/2,0)oplus (0,1/2))$ representation only, thus applying the Dirac-Feynman-Stueckelberg procedure for elimination of the negative-energy solutions. The recent Ziino works (and, independently,

the articles of several others) show that the Fock space can be doubled. We re-consider this possibility on the quantum field level for both $s=1/2$ and higher spin particles.

## Keywords:

cosmology; hadronic mechanics; physics; quantum mechanics;

## Cite this article as:

Dvoeglazov V. (2017).
On the Negative-Energy 4-Spinors and Masses in the Dirac Equation.
In Kongoli F, Masset P, Rokicki P
(Eds.), *Sustainable Industrial Processing Summit
SIPS 2017 Volume 6. Mathematics, Multiscale Mechanics, Coatings*
(pp. 110-111).
Montreal, Canada: FLOGEN Star Outreach