The Heuristic Value Of The Theory Of Relativity
2 minutes • 321 words
Our experience shows that:
- the principle of relativity holds true, and
- the speed of light in a vacuum is a constant
c
By uniting these two postulates, we obtained:
- the law of transformation for co-ordinates
x, y, z
and - the time
t
of the events in nature
This led to the Lorentz transformation and not the Galilei transformation of classical mechanics. The constant speed of light played an important part in this. Through the Lorentz transformation, we can combine this nature of light with the principle of relativity. We sum up the theory thus=
x, y, z, t
of the original non-moving coordinate system K
, we introduce new space-time variables x', y', z', t'
of a moving coordinate system K'
.
Superphysics Note
The relation between the ordinary and the accented magnitudes is given by the Lorentz transformation. In other words: General laws of nature are co-variant with respect to Lorentz transformations.
This is a definite mathematical condition that my theory of relativity demands of a natural law. This makes my theory a valuable heuristic aid in the search for the general laws of nature. If a general law of nature were to be found which did not satisfy this condition, then at least one of the two fundamental assumptions of the theory would have been disproved*.