Galileos relativity principle Galileo transformations

The mechanical principle of relativity, coupled with the suggestion of uniformity of time flow in all inertial reference systems, is referred to as Galileo s principle of relativity. 

Expressions (1.3.1 and 1.3.2) together with the independency of the time flowing in both systems (J = f) are called Galileo transitions. They permit one to go from one inertia system to another. 

The equivalence of all inertial reference systems is similar to the statement that the laws of mechanics are invariant with respect to Galileo s transforms. The phrase are invarianf  

Having differentiated lx)th right- and left-hand sides of expression (1.3.2) in respect to time, we can find a known law of velocities summation  

Einstein has generalized Galileo s principle of relativity. According to Einstein s principle of relativity, it is impossible by either mechanical or by physical experiment (in particular, electrical, magnetic or optical) conducted in an inertial system, to distinguish if this system is at rest or in rectilinear uniform motion. This statement is the basis of the special relativistic theory (see Section 1.6). 

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Obviously, all relativistic expressions transform into classic ones at speeds that are small in comparison with the speed of light in vacuum. Therefore the principles presented by Einstein do not contradict the general statements of the Galileo relativity. Chemists only meet the relativistic approach occasionally, e.g., energy of inner electrons of heavy atoms, some details of physical methods of investigations and some others. 

For physical objects and reference frames moving with speeds ixc or u< , Einstein s theory led to the results of classical nonrelativistic theory Lorentz transformations changed into Galileo s transforms and the Einstein relativity principle into Galileo s relativity principle. 

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