Einsteins Special Relativistic Theory STR Short Review

6 EINSTEIN S SPECIAL RELATIVISTIC THEORY (STR) (SHORT REVIEW) 

Until now, our discussions have been based on the classical Galileo-Newton representations. Moving on to quantum-optical phenomena and others, these ideas appear to be insufTicient and it is necessary to consider some more general notions, in particular, Einstein s special theory of the relativity (STR, 1905). 

In order to preserve the principles mentioned above, it was necessary to proceed further than Galileo s transformations (1.3.1) and (1.3.2). These transformations have been replaced by the mathematical Lorentz equations already known in physics. 

Lorentz transformations replace Gahleo s transforms. When a coordinate systan A (jc, y, z, f ) moves relative to the system K (x, y, z,t) ax direction (this restriction is made for simplicity) with a speed u (u = u) they look as follows  

These equations were derived by Lorenz in 1904 as mathematical expressions of coordinates and time transformation as an attempt to preserve the system of Maxwell s theory in all inertial coordinate systems. The same transformations were obtained by Einstein in 1905 he proceeded from Newton s postulate on the equality of all inertial coordinate systems and experimental fact on the independence of light speed upon the source speed. Analysis of eq. (1.6.1) shows that time is incorporated in space and movement. Thus, Einstein considered it necessary to change Newton s representation about time and space (refer to Section 1.3.1). Moreover, in order to make Newton s transformations be invariant 

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