On physics at the Planck scale: Space as a network

It is shown that the one-dimensional quantum field theory can be modeled as a chain of classical oscillators in a thermal bath provided that the Gibbs measure is identified with the phase-space volume measure, the chain being in a nonequilibrium state. Quantized strings and p -branes are also modeled by ordered systems of oscillators. The model of a one-dimensional superspace is constructed. It is shown that the Ramond-Neveu-Schwarz superstring is modeled by a helix formed of a bosonic-string in a multidimensional space. The physical 3D space is represented by a superstring structure (3D "network"), which is described by some Lagrangian. Thus, the unified description of all interactions including gravity is achieved because the superstring excitations involve all fields. In view of the discrete character of the initial structure, the theory is free of ultraviolet divergences. The essential element of the model is the occurrence of the cosmological constant in the gravity equations. A black hole model giving reasonable values for its temperature and entropy is proposed.