Canonical DSR

TL;DR

This paper derives modified Lorentz transformations for a doubly special relativity theory using canonical methods and constructs an energy-momentum dependent metric to address macroscopic bodies.

Contribution

It introduces a novel approach to derive space-time transformations and constructs an invariant metric in doubly special relativity.

Findings

Derived modified Lorentz transformations from momentum space.

Constructed an energy-momentum dependent space-time metric.

Proposed a solution for macroscopic bodies in doubly special relativity.

Abstract

For a certain example of a "doubly special relativity theory" the modified space-time Lorentz transformations are obtained from momentum space transformations by using canonical methods. In the sequel an energy-momentum dependent space-time metric is constructed, which is essentially invariant under the modified Lorentz transformations. By associating such a metric to every Planck cell in space and the energy-momentum contained in it, a solution of the problem of macroscopic bodies in doubly special relativity is suggested.