## Electric Relativistic Engine: Preliminary Analysis

Shailendra Rajput [1]  ,  Asher Yahalom [1,2]
[1] Department of Electrical & Electronic Engineering, Ariel University, Israel 40700
[2] Princeton University, Princeton, New Jersey 08543, USA

Previously, we have discussed the concept of the relativistic engine. It is demonstrated that Newton’s third law cannot strictly hold in a distributed system. The action and reaction events cannot be generated simultaneously because of the finite speed of signal propagation and the relativity of simultaneity [1]. As a result, the total force does not add up to zero at a given time. A system of two current loops with time-dependent currents was analysed to demonstrate the possibility of a relativistic engine [1,2]. It is concluded that the system is composed of a material body and a field. For a finite period, the system acquires mechanical momentum and energy as it is affected by a total force. A detailed analysis proved that the total momentum of the system is conserved. The momentum gained by the material body is equal in magnitude and opposite in direction to the electromagnetic field’s momentum [3]. We also briefly discussed the material composition, structure, and properties of metals that should be used in a relativistic engine [4]. Analysis of energy conservation in a relativistic engine showed that the field energy expenditure is six times the kinetic energy gained by the relativistic motor, which is divided as two times the electric field energy and four times the magnetic field energy [4,5]. We also provide relativistic corrections to the mutual inductance expression up to the order of 1/c4 [6].

Here, we study the consequences of a possible electric relativistic engine. Two mathematical treatments are considered: Firstly, we consider an instantaneous action at a distance and observe that total force equals zero. Then we consider the dynamic electromagnetic condition. The reaction to an action cannot occur before having the action-generated information reach the affected object, thus bringing about a non-zero resultant. It is stressed that bodies can be stationary, and only the charges in bodies change with time. It is concluded that a charged relativistic engine is many orders of magnitudes powerful than an uncharged one. Effect of dielectric breakdown and current density on the performance of the electric relativistic engine is also studied.

References:

1. M. Tuval and A. Yahalom, “Newton’s Third Law in the Framework of Special Relativity,” Eur. Phys. J. Plus, vol. 129 (11), pp. 240, November 2014.
2. A. Yahalom, “Retardation in Special Relativity and the Design of a Relativistic Motor,” Acta Physica Polonica A, Vol. 131, No. 5, (2017).
3. M. Tuval and A. Yahalom, “Momentum Conservation in a Relativistic Engine,” Eur. Phys. J. Plus, vol. 131, no. 10, pp. 374, October 2016.
4. A. Yahalom, “Preliminary Energy Considerations in a Relativistic Engine,” In Proceedings of the Israeli-Russian Bi-National Workshop, Ariel, Israel, pp. 203-213, August 28-31, 2017.
5. S. Rajput and A. Yahalom, “Preliminary Magnetic Energy Considerations in a Relativistic Engine: Mutual Inductance vs. Kinetic Terms,” In Proceedings the IEEE ICSEE, Eilat, Israel, pp. 1-5, December 12-14, 2018.
6. S. Rajput, and A. Yahalom, “Material Engineering and Design of a Relativistic Engine: How to Avoid Radiation Losses,” Advanced Engineering Forum, 36 (2020), pp 126-131.