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Limitations Of The Theory Of Special Relativity....
'x'. L'. denotes the original length of the object, i. e. when it is at rest, v and e are the velocities of object and light respectively.
In this equation as the value of 'x' increases v? Icalso increases, hence the value of VI - 12/02 decreases. So we get always L<L'. If 'yo becomes equal to c, the value of 1- ?!c? becomes zero. So L becomes zero. In the same way, considering the light-velocity as constant according to the equation AT - M i-,27c2 i. e. time interval for the mobile object decreases as its velocity increases. And if the velocity of an object becomes equal to 'c', AT becomes zero. i. e. time becomes steady for it.
Another principle of Einstein's theory is that the summation of two or more vectors does not exist, according to Galilean principle, if two or more forces act on a same object. For e. g. suppose a train has a velocity equal to *7. i. e. 2.25 x 105 km/sec. Let us think that a man, who is travelling in the train, has the velocity % I. e. 1.5 x 105 km/sec. Then according to Galilean principle, the velocity of the passenger must be 3.75 x 105 km/sec. {(2.25 + 1.5) x 105 km/sec.} but it is not true. The summation of these vectors, according to Einstein's equation, becomes c/ which is as follows:
394 +12 3/4.1/2c2
594 1 + 3/8
1-3/4.1/2c? 1+318 1118 ū°
5:4 11/8
10 11
C
Va 1 + V. HTX Here V=1&V _x,
+
Thus, the summation of vectors, (in any number) must not be greater than 'c'. But this principle is only for high velocity - vectors, which reach the 'c'. For the common velocity vectors, the result is approximately the same according to Galilean theory and the theory of relativity.
The equation that calculates the mass of mobile objects, doesn't give a satisfactory solution for sunlight particles i. e. photon particles, because
this equation tells us that
VI-V216
Now, in the case of photon particles, their velocity is 3 x 105 km/sec. i. e. equal to 's'. These photon particles are nothing but a special type of fundamental particles, so they must have some mass. If the mass of
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