V. Dzhunushaliev¹ and D. Singleton²

¹ Dept. Phys.and Microel. Engineer., Kyrgyz-Russian Slavic University, Bishkek, Kievskaya Str. 44, 720000, Kyrgyz Republic.
E-mail: [email protected]
² Physics Dept.,CSU Fresno,2345 East San Ramon Ave.M/S 37 Fresno, CA 93740-8031, USA
E-mail: [email protected]

Received: 13 August 2001 / Accepted: 21 December 2001 / Published: 30 January 2002

Abstract: In this article we use the idea of algorithmic complexity (AC) to study various cosmological scenarios, and as a means of quantizing the ravitational interaction. We look at 5D and 7D cosmological models where the Universe begins as a higher dimensional Planck size spacetime which fluctuates between Euclidean and Lorentzian signatures. These fluctuations are overned by the AC of the two different signatures. At some point a transition to a 4D Lorentzian signature Universe occurs, with the extra dimensions becoming "frozen" or non-dynamical. We also apply the idea of algorithmic complexity to study composite wormholes, the entropy of black holes, and the path integral for quantum gravity. Some of the physical consequences of the idea presented here are:the birth of the Universe with a fluctuating metric signature; the transition from a fluctuating metric signature to Lorentzian one; "frozen" extra dimensions as a consequence of this transition; quantum handles in the spacetime foam as regions with multidimensional gravity.

Keywords: algorithmic complexity; Planck scale; multidimensional gravity; metric signature; fluctuation; universe birth.