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arXiv · hep-th/9311148

A Liouville String Approach to Microscopic Time and Cosmology

J. Ellis·N. Mavromatos·D. Nanopoulos
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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.

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J. Ellis, N. Mavromatos, D. Nanopoulos. 1993-11-25. A Liouville String Approach to Microscopic Time and Cosmology. https://arxiv.org/abs/hep-th/9311148

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