Probir Pal

Deformed special relativity and deformed symmetries in a canonical framework

In this paper we have studied the nature of kinematical and dynamical laws in

κ-Minkowski spacetime through exotic “oscillator”

\ensuremath{\kappa}

Electrodynamics of a generalized charged particle in doubly special relativity framework

-Minkowski spacetime from a new perspective: the canonical phase space approach. We discuss a particular form of

Conformal Invariance in Noncommutative Geometry and Mutually Interacting Snyder Particles

\ensuremath{\kappa}

The E(2) Particle

-Minkowski phase space algebra that yields the

Lie particle and its Batalin-Tyutin extension

\ensuremath{\kappa}

Constrained dynamics of an anomalous ( g ≠2) relativistic spinning particle in electromagnetic background

-extended finite Lorentz transformations derived in [D. Kimberly, J. Magueijo, and J. Medeiros, Phys. Rev. D 70, 084007 (2004).]. This is a particular form of a deformed special relativity model that admits a modified energy-momentum dispersion law as well as noncommutative

Cosmological Time Crystal: Cyclic Universe with a small

\ensuremath{\kappa}

\Lambda

-Minkowski phase space. We show that this system can be completely mapped to a set of phase space variables that obey canonical (and not

in a toy model approach.

\ensuremath{\kappa}