Proposal of a topological M(atrix) theory - art. no. 024015

Keeping in mind the several models of M(atrix) theory we attempt to underst and the possible structure of the topological M(atrix) theory ''underlying' ' these approaches. In particular we are motivated by the issue of the natu re of the structure of the vacuum of the topological M(atrix) theory and ho w this could be related to the vacuum of the electroweak theory. In doing s o we are led to a simple topological matrix model. Moreover, it is intuitiv ely expected from current understanding that the noncommutative nature of " spacetime" and background independence should lead to a topological model. The main purpose of this paper is to propose a simple topological matrix mo del which bears a relation to F and M theories. Suggestions of the origin o f the chemical potential term appearing in the matrix models are given. [S0 556-2821(99)00514-7].