foldy-wouthuysen transformation 1generalized dirac equation 1non-relativistic limit 1spin-gravity coupling 1symmetric teleparallel gravity 1
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math-ph2026
The Generalized Dirac Equation in the Metric Affine Spacetime
Muzaffer Adak, Ali Bagci, Caglar Pala +1
We discuss the most general form of Dirac equation in the nonRiemannian spacetimes containing curvature, torsion and nonmetricity. It includes all bases of the Clifford algeb…
math-ph2026
General teleparallel geometric theory of defects
Muzaffer Adak, Ertan Kok, Mehmet Orhan
We revisit the geometric theory of defects. In the differential-geometric models of defects that have been adopted since the 1950s, dislocations have been associated with torsion,…
math-ph2025
Reformulation of continuum defects in terms of the general teleparallel geometry in the language of exterior algebra
Muzaffer Adak, Tekin Dereli, Ertan Kok +1
We discuss the geometric formulation of continuum defects consisting of dislocations and disclinations. After reviewing the metric affine geometry and the present geometric formula…