In flat spacetime, the Dirac equation is “square root” of Klein–Gordon in sense that, by applying square operator to spinor, one recovers duplicated for each component spinor. presence gravity, curved-spacetime spinor does not yield equation, but instead yields Schrödinger–Dirac covariant equation. First, we show that latter gives rise a generalization spinors Gross–Pitaevskii Then, while confo...

We study the behaviour of spin-half particles in curved space-time. Since Dirac equation gives the dynamics of spin-half particles, we mainly study the Dirac equation in Schwarzschild, Kerr, Reissner-Nordström geometry. Due to the consideration of existence of black hole in space-time (the curved space-time), particles are influenced and equation will be modified. As a result the solution will ...

It is proved that density plays a crucial role in the structure of quantum field theory. The Dirac and the Klein-Gordon equations are examined. The results prove that the Dirac equation is consistent with density related requirements whereas the Klein-Gordon equation fails to do that. Experimental data support these conclusions.

We revisit the charge-conjugation operation for the Dirac equation in its chiral representation. A new decomposition of the Dirac spinor field is suggested and achieved by means of projection operators based on charge conjugation, which is discussed here in a non-standard way. Thus, two separate two-component Majorana-type field equations for the eigenfields of the charge-conjugation operator a...

The Dirac equation is not semisimple. We therefore regard it as a contraction of a simpler decontracted theory. The decontracted theory is necessarily purely algebraic and non-local. In one simple model the algebra is a Clifford algebra with 6N generators. The quantum imaginary h̄i is the contraction of a dynamical variable whose back-reaction provides the Dirac mass. The simplified Dirac equati...