 20102 Valeriy V. Dvoeglazov
 On NegativeEnergy 4Spinors and Masses in the Dirac Equation
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Dec 4, 20

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Abstract. Both algebraic equation $Det (\hat p  m) =0$ and $Det (\hat p + m) =0$ for $u$ and $v$ 4spinors have solutions with $p_0= \pm E_p =\pm \sqrt{{f p}^2 +m^2}$. The same is true for higherspin equations (or they may even have more complicated dispersion relations). 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 DiracFeynmanStueckelberg procedure for elimination of negativeenergy solutions. The recent Ziino works (and, independently,
the articles of several other authors) show that the Fock space can be doubled. We reconsider this possibility on the quantumfield level for both $s=1/2$ and higher spin particles.
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