On the basis of an identity between space-time and physical vacuum, we postulate the necessity of abandoning the number model of geometric extension. A new description is built on the basis of operator field theory. Instead of points as carriers of all possible local events, a universal boson-fermion matrix U is assumed. The matrix U is called the unimatrix, it comprises the complete set of local Heisenberg field operators. As a fundamental model equation, we assume the one obtained from the correspondence principle with the Lagrangian formulation, i.e., the equation of elementary causal connection between two causally nearest unimatrix-points. Its discrete nature is thought of as being related to the existence of gravitation. The new equation represents an algebra which is closed on the elements U1 and U2. The bilinear operation {U1, U2} is supposed to be the base of the algebra, which is generalized in a special form of a commutator structure of matrices over a non-commutative graded ring. The condition that the fundamental equation be algebraically closed reduces (as a result of calculations according to the correspondence principle) to the fact that the charge symmetry group turns out to be E&; the highest base weight among fundamental multiplet bases of scalar Fields is (001010), and that of the multiplet of spinor fields is (000200). We discuss the possibility of representing space-time as a branched algebraic network of elementary causal connections described by the fundamental equation of the model.
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