A Liouville String Approach to Microscopic Time and Cosmology

摘要: In the non-critical string framework that we have proposed recently, time t is identified with a dynamical local renormalization group scale, Liouville mode, and behaves as statistical evolution parameter, flowing irreversibly from an infrared fixed point - which conjecture to be topological phase ultraviolet one corresponds static critical vacuum. When applied toy two-dimensional model of spacetime singularities, this formalism yields apparent velocity light, t-dependent form uncertainty relation for position momentum test string. We speculate within on stringy alternative conventional field-theoretical inflation, decay towards zero cosmological constant in maximally-symmetric space.