A Possible Unification Model for All Basic Forces

A unification model for strong, electromagnetic, weak and gravitational forces is proposed. The tangent space of ordinary coordinate 4-dimensional spacetime is a submanifold of an 14-dimensional internal spacetime spanned by four frame fields. The unification of the standard model with gravity is governed by gauge symmetry in the internal spacetime. One of the great theoretical endeavours in this century is to unify gravitational force characterized by the general relativity of Einstein [1] with all other elementary particle forces (strong, electromagnetic and weak ) described by Yang-Mills gauge theory [2]. One of the difficulties arises from the no-go theorem [3] which was proved based on a local relativistic quantum field theory in 4-dimensional spacetime. Most of the attempts to unify all basic forces involve higher dimensional spacetime, such as Kaluza-Klein Yang-Mills theories [4], supergravity theories [5] and superstring theories [6], etc. In the Kaluza-Klein Yang-Mills theories, in order to have a standard model gauge group as the isometry group Supported in part by Outstanding Young Scientist Fund of China