Abstract
As the concept of symmetry in physics has developed by full swing in the twentieth century, the extension of the concept of continuous symmetry from “global” symmetries to “local” symmetries has been at its heart. The principle of local Lorentz invariance is shared by general relativity and particle physics, which in contemporary sense enwrapping the theory of special relativity, which has been viewed as global. A new evaluation is proposed to manifest that in specific cases Lorentz violation occurs related to special relativity for observers with low velocity in about inertial frames that perform aligned and synchronized observations to frames approaching relativistic velocities. These observers perceive Galilean transformation rather than Lorentz transformation, which disagrees with special relativity and Lorentz symmetry that basically state that the laws of physics look identical to any (local) inertial observer. In other words the outcome of physical experiments observed by different observers contradicts Lorentz symmetry, and there might exist an uncertainty about prediction of events depending on how observations are carried out. Additionally it is concluded that clocks in such frames can be synchronized as no length contraction and time dilation takes place in the mentioned frames which also controvert special relativity. Generally gauge transformation approach is exploited which incorporates with the principal of general relativity with reference to general coordinate transformations in the essence of invariant under continuous reparameterizations of space-time in conjunction with the topological arrangement of events through space time and as well as the additional assumption of general relativity that each infinitesimal small region of space approaches flatness with metrical properties of special relativity. This stand point could also be viewed as incorporation of Lorentz transformation and gauge transformation on the same basis.
Koorosh Shahdaei