Preliminary Magnetic Energy Considerations in a Relativistic Engine: Mutual Inductance vs. Kinetic Terms

In a previous paper [1] we have shown that Newton'n third law cannot strictly hold in a distributed system of which the different parts are at a finite distance from each other. This is due to the finite speed of signal propagation which cannot exceed the speed of light at vacuum, which in turn means that when summing the total force in the system the force does not add up to zero. This was demonstrated in a specific example of two current loops with time dependent currents, the above analysis led to suggestion of a relativistic engine [2], [3]. Since the system is effected by a total force for a finite period of time this means that the system acquires mechanical momentum and energy, the question then arises if we need to abandon the law of momentum and energy conservation. The subject of momentum conversation was discussed in [4], while the subject of electric energy conservation was discussed in [5]. Here some preliminary aspects of the exchange of energy between the mechanical part of the relativistic engine and the magnetic field are discussed and the methods to distinguish between mutual inductance energy terms which are unrelated to the motion of the engine and magnetic terms which are the result of the motion. PACS: 03.30.+p, 03.50.De