^{1}

^{*}

^{2}

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.

According to Newton’s law, two bodies of mass and attract one another with gravitational force whose magnitude is. But Einstein’s general relativity does not consider gravity as a force rather it is a space-time curvature. As in [

. 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 [

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, are two constants. Again, we would obtain from relativistic electrodynamics [

where, is the proper velocity. So, using (3) and (4) we get from (5) and (6)

are also two constants.

where,

But, are not separate. These are included in a field which is called electromagnetic field. According to [9,10] electromagnetic field function. So, from (7) and (8) we get a generalized relation

where,

This means that transfer to respectively in. In [

where, , and

as in [

This leads to a relation between strong gravitational field (strong field) and weak gravitational field which is

Equations (7), (8), (10) and (11) are analogous. So, following (5) and (6) we can write the relations in vectorial form as

where, in (13) represents weak gravitational field and in (14) represents strong gravitational field or strong field. is the composed velocity as in [

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

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.

Author thanks the authorities and staff of Satmile High School, Satmile-721452, West Bengal, India for their continuous encouragements.