101. A Liouville String Approach to Microscopic Time and Cosmology
- Author
-
Ellis, John R., Mavromatos, N.E., and Nanopoulos, Dimitri V.
- Subjects
High Energy Physics - Theory ,High Energy Physics::Theory ,High Energy Physics - Phenomenology ,High Energy Physics - Phenomenology (hep-ph) ,High Energy Physics - Theory (hep-th) ,Astrophysics (astro-ph) ,FOS: Physical sciences ,General Relativity and Quantum Cosmology (gr-qc) ,Astrophysics ,General Theoretical Physics ,General Relativity and Quantum Cosmology - Abstract
In the non-critical string framework that we have proposed recently, the time $t$ is identified with a dynamical local renormalization group scale, the Liouville mode, and behaves as a statistical evolution parameter, flowing irreversibly from an infrared fixed point - which we conjecture to be a topological string phase - to an ultraviolet one - which corresponds to a static critical string vacuum. When applied to a toy two-dimensional model of space-time singularities, this formalism yields an apparent renormalization of the velocity of light, and a $t$-dependent form of the uncertainty relation for position and momentum of a test string. We speculate within this framework on a stringy alternative to conventional field-theoretical inflation, and the decay towards zero of the cosmological constant in a maximally-symmetric space., Latex 23 pages, no figures, CERN-TH.7000/93, CTP-TAMU-66/93
- Published
- 1993