﻿General Relation Connecting the Fundamental Fields

Journal of Modern Physics
Vol.3 No.9A(2012), Article ID:23123,3 pages DOI:10.4236/jmp.2012.329169

General Relation Connecting the Fundamental Fields

1Singhania University, Jhunjhunu, India

2Department of Electronics, Vidyasagar University, Midnapore, West Bengal, India

Email: *mukuldas.100@gmail.com

Received June 3, 2012; revised July 18, 2012; accepted July 25, 2012

Keywords: Fundamental Force; Unified Field; Generalized Relation

ABSTRACT

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.

1. Introduction

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  Newtonian field equation is , but in general relativity the Einstein equation is . On the other hand Maxwell equations  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 sourcethe mass-energy of matter. The well known unified electromagnetic field Equations  are and . 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  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 [4-6]. 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].

2. Modified Relation among the Fields

The well known relations between electric field and magnetic field are (1) (2)

From (1) and (2) we shall have the matrix form of these field transformation as (3) (4)

where , are two constants. Again, we would obtain from relativistic electrodynamics  the relations (5) (6)

where, is the proper velocity. So, using (3) and (4) we get from (5) and (6) (7) (8) 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 (9)

where, This means that transfer to respectively in . In  it reveals that through two simultaneous superimposed motions gravitational field transfers to electromagnetic field and the relation is (10)

where , , and as in . Again in  relation between strong field and electromagnetic field is given by (11)

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 vectorial form as (13) (14)

where, in (13) represents weak gravitational field and in (14) represents strong gravitational field or strong field. is the composed velocity as in  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 (15)

where, is a constant like and 3. 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.

4. Acknowledgements

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

REFERENCES

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NOTES

*Corresponding author.