Scale invariant scalar-tensor theory and the origin of gravitational constant and particle masses

Abstract

Scalar-tensor theory seems to offer a natural alternative to the standard theory of gravitation, especially when one tries to unify the theory of gravitation and the theory of elementary particles. It also seems inevitable that any scalar-tensor theory results in a variable-G theory. This is, however, not always true. We present a simple viable scalar-tensor theory the result of which is not a variable-G theory in the usual sense. We suggest that the next simplest model will give a true variable-G theory. i) We consider the fundamental Lagrangian