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A Liouville String Approach to Microscopic Time and Cosmology

1993/11/25 by John Ellis, J. Ellis, Ellis, J. +4
Earth and Planetary Sciences · Physics and Astronomy · #Astrophysics (astro-ph) #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Earth Systems and Cosmic Evolution #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #astro-ph #gr-qc #hep-ph #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9311148

Latex 23 pages, no figures, CERN-TH.7000/93, CTP-TAMU-66/93

arxiv created 1993/11/25 · openalex publication_date 1993/11/25 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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