From the 1 of 6 linked papers with an AI index.
6 papers
Foldy--Wouthuysen Transformation of the Generalized Dirac Equation in Symmetric Teleparallel Gravity
Sabutay Ugur, Muzaffer Adak, Ali Bagci +1
The paper derives the non‑relativistic Hamiltonian for a generalized Dirac fermion in a weak, static symmetric teleparallel gravitational field, using Foldy–Wouthuysen transformati…
Symmetric teleparallel gravitational effects on solar neutrino oscillations
Aysel Cetinkaya, Muzaffer Adak, Ozcan Sert +1
Neutrino oscillations probe the quantum gravity interface in unique ways. While gravitational effects on neutrinos are well studied in general relativity and torsion based geometri…
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…
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,…
Geometric Optimization and IPA-Induced Dispersion Tuning in Solid-Core Photonic Crystal Fibers
Zekeriya Mehmet Yuksel, Hasan Oguz, Ozgur Onder Karakilinc +4
This study presents a numerical investigation of solid-core photonic crystal fibers with circular and hexagonal cladding geometries. The goal is to optimize optical parameters for…
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…