Newton's Third Law in the Framework of Special Relativity
Most locomotive systems of today are based on open systems. A rocket
sheds exhaust gas to propel itself, a speeding bullet generates recoil. A car
pushes the road with the same force that is used to accelerate it, the same is
true regarding the interaction of a plane with air and of a ship with water.
However, the above relativistic considerations suggest’s a new type of motor
which is not based on a open system but rather on a closed one.
In this paper we discuss the force between two current carrying coils.
Two mathematical treatments will be given, in one we consider an instan-
taneous action at a distance, here Newton’s third law hold and the total
electromagnetic force will be shown to be equal to zero. Then we consider
the dynamic, electro-magnetic condition where the reaction to an action can-
not occur before having the action-generated information reach the affected
object, thus bringing about a non-zero resultant.
We have shown in this paper that in general Newton’s third law is not
compatible with the principles of special relativity and the total force on a
two current loop system is not zero.
As a final remark we will address the problem of achieving constant force
which may be of interest for locomotive applications.