Symmetry Invariance of Physical Laws

This relationship, that is, x in terms of x are called Lorentz transformations and the symmetry of physical laws with respect to changes from one inertial frame to another are mathematically expressed in this transformation. When the relation is reversed the x in terms of x, y and z in terms of y and z and t in terms of t will be given as 

The invariance of the velocity of light c in both of the frames can be shown as  

Therefore, if there are two frames of reference moving with respect to each other with constant velocity, then the basic property and value of the physical parameters do not change as for the velocity of light. Now, this Lorentz transformation is simplified in to Galilean transformation when n c as 

the laws of physics are symmetrical and invariant when there is uniform motion. 

Now for another example, the vector operations, say product of vectors, the replacement of the word right by left, for example, right hand rule by left hand rule does not make any difference in physical laws. 

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