On the Structure of Space-time

A specific model of the space-time structure is proposed. Local time is represented by three operator-valued coordinates that satisfy the commutation relations [T-1, T-2] = i tau T-3 and cyclic permutations, where tau is the elementary quantity of time expected to be of the order of (Gh/c(5))(1/2). Using a method in analogy with the representation of an arbitrary angular momentum in terms of an assembly of spin 1/2s, correspondence is established to classical time. The space part of a reference frame, constructed as a swarm of local clocks coordinated by electromagnetic signals, has three c-number stochastic coordinates. The linear vector space of local time is naturally identified as the seat of the internal symmetries of the standard model.