4 papers
Post-Carroll Algebra, Conformal Extensions, and Field Theories
Mojtaba Najafizadeh
By incorporating leading -dependent corrections to the Carroll transformations, we introduce the ``post-Carroll transformations''. We demonstrate that these transformations ar…
Post-Carrollian Mechanics, Ideal Gas, and Gravity
Mojtaba Najafizadeh
Energy and momentum in Newtonian mechanics have the familiar relations, () and (), derived from the non-relativistic limit of special rel…
Classification of Conformal Carroll Algebras
Hamid Afshar, Xavier Bekaert, Mojtaba Najafizadeh
We classify a one-parameter family, , of conformal extensions of the Carroll algebra in arbitrary dimension with being the anisotropic scaling expon…
Carroll-Schrödinger Equation
Mojtaba Najafizadeh
The Poincaré symmetry can be contracted in two ways to yield the Galilei symmetry and the Carroll symmetry. The well-known Schrödinger equation exhibits the Galilei symmetry and…