General Relation Connecting the Fundamental Fields

There are four fundamental forces: gravitational force, electromagnetic force, strong force and weak force, in the well known physics. The unified field theory considers the constructive relations among these forces or fields. In the present work the fundamental relations have been studied and trial has been made to derive more significant relations among the known fields. This gives out a generalized unification.


Introduction
According to Newton's law, two bodies of mass 1 and attract one another with gravitational force whose . But Einstein's general relativity does not consider gravity as a force rather it is a space-time curvature.As in [1] Newtonian field equation is 2 4πG    , but in general relativity the Einstein . On the other hand Maxwell equations [2] are the field equations of electromagnetism that relate the electromagnetic field to its source-charge and current.But Einstein's equation relates the space-time curvature to its source-the mass-energy of matter.The well known unified electromagnetic field Equations [2] are . These imply that one observer's electric field is another's magnetic field and that depends on the relativity.In 1935, H. Yukawa proposed a theory on generation of strong force [3] which deals with particle physics.This theory implies a relation between electromagnetic field and strong field.After a long year of this contribution, the weak force and the electromagnetic force were unified in a theory presented independently by A. Salam, Weinberg and Glashow [4][5][6].Afterwards a lot of papers, regarding unified field theory, have been published.However, in [7,8], trial have been made to deduce relations among the known fields (i.e.gravitational field, electromagnetic field, strong field) following a constructive method, which may satisfy the dream of Einstein's fields unification.The present work is the modified formulation of unified field equations as discussed in [7,8].

Modified Relation among the Fields
The well known relations between electric field and magnetic field are From ( 1) and ( 2) we shall have the matrix form of these field transformation as where and k k , are two constants.Again, we would obtain from relativistic electrodynamics [2] the relations where,   v V is the proper velocity.So, using (3) and (4) we get from ( 5) and ( 6) and   are also two constants. where, B are not separate.These are included in a field which is called electromagnetic field.According to [9,10] . So, from ( 7) and ( 8) we get a generalized relation   E B (9) where, ( , ) ( , This means that  transfer to and E B respectively in   .In [7] it reveals that through two simultaneous superimposed motions gravitational field transfers to electromagnetic field and the relation is where , and as in [7].Again in [8] relation between strong field and electromagnetic field is given by This leads to a relation between strong gravitational field (strong field) and weak gravitational field which is (12) Equations ( 7), ( 8), (10) and (11) are analogous.So, following (5) and (6) we can write the relations in vecto-rial form as where,   G in (13) represents weak gravitational field and  G w is the composed velocity as in [7] as well as four-velocity.In (13) and ( 14) are two constants.
Again from (12), ( 13) and ( 14) we can consider the vector relation between strong field and weak gravitational field which would give where,  is a constant like and  1  2

Conclusion
In this work a constructive vector relation among the fields has been deduced.Equations ( 13)-( 15) represent such relations which can clear the concepts of fields transformations.These also imply that field transformations are associated with relativistic phenomenon in different frames.
represents strong gravitational field or strong field.