The constancy of the speed of light is not postulated, and the Lorentz transformation is not used for the derivation of the relativistic equations.
Before proceeding, we recommend that you read the “Notice to the reader”.
Two important findings
The start of this alternative approach is based on two important findings.
Max Born reports on the first finding. In his book “Einstein’s Theory of Relativity” he shows that there is a “simple proof of Einstein” for the equation E=mc², which “does not make use of the mathematical formalism of the theory of relativity”.
Richard Feynman mentions the second finding in his work “Lectures on Physics“. He points out that the Second Law of Motion is applicable with the relativistic mass formula.
Since the Second Law of Motion with constant mass describes classical mechanics, the question arises:
What can then be achieved with the same law, assuming a variable mass?
Newton’s law in connection with E=mc² leads to relativity
This path was consistently pursued in the book “Newton and Relativity” with amazing results:
Starting from the Second Law of Motion with variable mass, all relevant equations of the special theory of relativity up to the constancy of the speed of light can be proven by a sequence of comprehensible derivations.
Newton’s law is generally valid
It is shown that the Second Law of Motion remains generally valid even under relativistic conditions, and that it thus enables a direct transition from Newtonian to relativistic mechanics.
From this it follows that classical mechanics should no longer be considered as a special case of relativistic mechanics:
Rather, it is the theory of relativity that can be interpreted as a logical extension of Newtonian mechanics.
Ultimately, it is a question of reunifying classical and relativistic mechanics in a single scientific discipline.
That is essentially the approach taken here.
The aim is to offer simple introduction to the Theory of Relativity while avoiding the most difficult concepts at first.
Concepts such as “length contraction“, “time dilation“, “Lorentz transformation” and, finally, the “constancy of the speed of light” are not the prerequisites but the objective of this alternative approach to the theory of relativity.
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