SSRG International Journal of Applied Physics (SSRG-IJAP) – volume 2 Issue 1 Jan-Feb 2015 ISSN: 2350-0301 www.internationaljournalssrg.org Page 1 Space time interval for all fundamental forces Bhushan Poojary 1 1 (NIMS University, India) ABSTRACT: This paper uses complex plane to unify all 4 fundamental forces by finding equation for space time curvature of each force and grand unified force. In the end all fundamental forces are due to curvature in space time. Keywords – Grand Unification Theory, General Theory of Relativity, Fundamental Forces I. INTRODUCTION Objective to start with would to space time interval into complex plane to unify all 4 fundamental forces. II. SPACE TIME INTERVAL IN COMPLEX PLANE From paper Certainty principle using complex plane [1] , we know that we can express position and time in complex plane. In Minkowski spacetime [2] , space time interval is expressed in form of real numbers as shown below 2 2 2 2 2 ( ) r r r r s x y z ct Similarly in complex plane space time interval can be expressed as. 2 2 2 2 2 ( ) S X Y Z CT Where 2 2 2 2 2 2 2 2 r i r i r i r i X x x Y y y Z z z T t t Similarly complex space time can be written in form of 8 dimensions as. 2 2 2 2 2 2 2 2 2 ( ) ( ) r r r r i i i i S x y z ct x y z ct Minkowski tensor [3] is expressed as. 1 0 0 0 0 1 0 0 0 0 1 0 0 0 0 -1 Similarly in complex plane matric can be expressed as. 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 00 0 0 -1 c The above matrix can also be expressed in form of 2 rr ri c ir ii c s Where , , and rr ri ir ii are 4X4 matrices ( is transpose of ir ir ). Minkowski space-time is actually part of this matrix and can be expressed as