On the Structure of Space-time

摘要

A specific model of the space-time structure is proposed. Local time is represented by three operator-valued coordinates that satisfy the commutation relations [Tj, TJ = irTj and cyclic permutations, where vis the elementary quantity of time expected to be of the order of(Ghk5)m. Using a method in analogy with the representation of an arbitrary angular momentum in terms of an assembly of spin l/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.