Deformed Special Relativity in a Canonical Framework
نویسنده
چکیده
In this paper we have studied the nature of kinematical and dynamical laws in κ-Minkowski spacetime from a new perspective: the canonical phase space approach. We have introduced a new form of κ-Minkowski phase space algebra from which we recover the κ-extended finite Lorentz transformations derived in [13]. This is a particular form of a Deformed Special Relativity model that admits a modified energy-momentum dispersion law as well as noncommutative κ-Minkowski phase space. We show that this system can be completely mapped to a set of phase space variables that obey canonical (and not κ-Minkowski) phase space algebra and Special Relativity Lorentz transformation (and not κ-extended Lorentz transformation). We demonstrate the usefulness and simplicity of this approach through a number of applications both in classical and quantum mechanics. We also construct a Lagrangian for the κ-particle.
منابع مشابه
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 from a new perspective: the canonical phase space approach. We discuss a particular form of κ-Minkowski phase space algebra that yields the κ-extended finite Lorentz transformations derived in [16]. This is a particular form of a Deformed Special Relativity model that admits a modified energy-mom...
متن کاملDeformed Special Relativity and Twisted Symmetries in a Canonical Framework
In this paper we have studied the nature of kinematical and dynamical laws in κ-Minkowski spacetime from a new perspective: the canonical phase space approach. We have introduced a new form of κ-Minkowski phase space algebra from which we recover the κ-extended finite Lorentz transformations derived in [13]. This is a particular form of a Deformed Special Relativity model that admits a modified...
متن کاملRelativity with light - cone deformation
We propose a new Doubly Special Relativity theory based on the generalization of the κ-deformation of the Poincaré algebra acting along one of the null directions. We recall the quantum Hopf structure of such deformed Poincaré algebra and use it to derive the phase space commutation relations. As in the DSR based on the standard quantum κ-Poincaré algebra we find that the space time is non-comm...
متن کاملGeneralized commutation relations and DSR theories, a close relationship
A revision of generalized commutation relations is performed, beside a description of Deformed Special Relativity (DSR) theories. It is demonstrated that these propositions are very closely related, specially Magueijo Smolin momenta and Kempf et al. and L.N. Chang generalized commutators. Due this, a new algebra arise with its own features that is also analyzed.
متن کاملPhysics of Deformed Special Relativity: Relativity Principle Revisited
In many different ways, Deformed Special Relativity (DSR) has been argued to provide an effective limit of quantum gravity in almost-flat regime. Unfortunately, DSR is up to now plagued by many conceptual problems (in particular how it describes macroscopic objects) which forbids a definitive physical interpretation and clear predictions. Here we propose a consistent framework to interpret DSR....
متن کامل