We study the structure of the phase space of generic models of deformed special relativity which gives rise to a definition of velocity consistent with the deformed Lorentz symmetry. In this way we can also determine the laws of transformation of spacetime coordinates.

We study the structure of the phase space of generic models of deformed special relativity which gives rise to a definition of velocity consistent with the deformed Lorentz symmetry. In this way we can also determine the laws of transformation of spacetime coordinates.

The Special Relativity Theory (SRT) and the General Relativity Theory (GRT) sometimes exhibit clock effects of equal magnitude which cancel and sometimes exhibit clock effects of equal magnitude which are additive. This cannot be coincidence, yet there is nothing within the two disjoint relativity theories to suggest an underlying mechanism. The effects appear to be related to energy, but the S...

In this paper, a novel conserved Lorentz covariant tensor, termed the helicity is introduced in Maxwell theory. The conservation of tensor expresses laws contained array, by Cameron et al., including helicity, spin, and spin-flux or infra-zilch. covariance contrast to previous formulations hierarchy laws, which required non-Lorentz transverse gauge. shown arise as Noether current for variationa...

We propose the lattice version of BF gravity action whose partition function leads to the product of a particular form of 15-j symbol which corresponds to a 4-simplex. The action is explicitly constructed by lattice B field defined on triangles and link variables defined on dual links and is shown to be invariant under lattice local Lorentz transformation and Kalb-Ramond gauge transformation. W...