One understands relativistic mechanics as a modification of (correction to) classical mechanics, while the same correction can be obtained if we go back to Newton’s Second Law (NSL) and take the change of mass.
The claim that NSL is close to the relativistic law is not quite accurate; it is more accurate to say, that NSL is applied without the concept of ‘mass change’. Does this mean that applying the concept ‘mass change’ along with NSL allows all the relations in relativistic mechanics to be re-derived without using Einstein’s relativity (SRT)? The present paper[1] answers in the affirmative.
Newton used 3-d setup in his mechanics and it was wrong because his equations needed to be changed in 4-d setup (relativistic mechanics).
In the practice of SRT boils down to the requirement that each physical theory has to satisfy the condition of relativistic invariance. That simply means that all physical values in a theory must be presented by the mathematical symbols that have a definite 4-dimensional meaning.
It is well known that any new formalism claiming to be more accurate than the old must predict the old formalism’s verified results. This paper presented our attempt to get all the relations in relativistic mechanics by using a different approach: we changed the scale of the mass, rather than the scale of space-time as in SRT as well as in 4-dimensional Minkowski space.
In contrast to SRT, which made the NSL a hypothetical kinematics, the present formalism [1] once again makes the NSL a dynamical law.
References
1. Hamdan, N. 2005. Newton’s Second Law is a Relativistic law without
Einstein’s relativity. Galilean Electrodynamics. 16: 71-74.
Relativity is assumes Newton's laws of mechanics are correct. This assumption has held up for all experiments to date and includes all Quantum Mechanics situations. What has not held up for Newton is his Law of Gravity which works well enough for weak gravity and relatively short distances.
On what postulates do you begin to develop realtivisitc equations from Newton's laws?
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