Newton's Third Law in the Framework of Special Relativity

http://arxiv.org/abs/1302.2537

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.

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