A complex motion and complex momentum due to relativistic phenomenon has been deduced in this paper. This procedure leads to explain the generation of a field which is the result of energy momentum complexity (tensor). In this work, a form of complex momentum of photon has been derived. This momentum reveals the construction of electromagnetic field. These procedures have been applied to explain the electromagnetic field of fundamental charged particle and leads to the assumption of fundamental charge. In this works trial would be made to derive a relation between gravitational field and electromagnetic field.
In inertial system, co-ordinate transformation from one frame to another is possible by using Lorentz transformation matrix. But in non-inertial or rotating system it is not applicable by using Lorentz transformation matrix. In this paper, co-ordinate transformation from one frame to another in three simultaneous superimposed rotating systems has been introduced. This also leads to assume a picture of space-time geometry of same system. Keywords: non-inertial system; co-ordinate transformation; space-time geometry THREE SIMULTANEOUS SUPERIMPOSED ROTATIONAL MOTIONAccording to [1,2] A particle or an event may possess two simultaneous superimposed motions (i.e. either linear or rotational). Similarly a particle or an event may possess three simultaneous superimposed rotational motions. For clarity of three simultaneous superimposed rotational motions as well as three simultaneous superimposed spins, following [3], it is stated that frames S and S 1 have both their X axes aligned and S 1 is moving at an angular velocity 1 about X 1 axis as observed by S. The frame S 1 has another co-ordinate reference frame S 2 , where X 2 axis of S 2 , are rotated by an angle counter clockwise with respect to S 1 on X 1 Y 1 plane. Frames S 2 and S 3 have both their X axes aligned and S 3 is moving at an angular velocity 2 about X 3 axis as observed by S 2 . Similarly S 3 has another co-ordinate reference frame S 4 , where X 3 axis of S 3 , are rotated by an angle counter clockwise with respect to S 3 on X 3 Y 3 plane. Frames S 4 and S 5 have both their X axes aligned and S 5 is moving at an angular velocity 3 about X 5 axis as observed by S 4 .For the case when the origin of frames are same with respect to S and the particle be at the origin of S 3 , then it possesses three simultaneous superimposed spins with respect to frame S. Coordinate transformation matrix from S to S 5 would be
In the concept of general relativity gravity is the space-time geometry. Again, a relation between electromagnetic field and gravitational field is expected. In this paper, space-time geometry of electromagnetic field in the system of photon has been introduced to unify electromagnetic field and gravitational field in flat and curvature space-time.
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