  Solution to the reduced matrix model of IKKT type is studied with non-zero
fermion fields. A suggestion is made that our universe is made of rational
numbers rather than being a continuum. To substantiate this proposal, the
reduced Yang-Mills equation is written in the form of an elliptic curve. The
normalization of the solution can be expressed in terms of the Weierstrass
function generically or in terms of the Dedekind function in the case of
3-brane. A way to define the gravitational field in the matrix model is
proposed with some new interpretation of the cosmological constant. The (first)
quantization of the system is done within the framework of non-commutative
geometry.
