Supplemental Material

General Relativity and Quantum
Cosmology, abstract
gr-qc/9907063

From: Paola Zizzi <zizzi@giunone.pd.astro.it>
Date (v1): Tue, 20 Jul 1999 13:47:40 GMT   (183kb)
Date (revised v2): Fri, 31 Mar 2000 09:59:15 GMT   (287kb,P)

Holography, Quantum Geometry, and Quantum Information Theory

Authors: P. A. Zizzi
Comments: 41 pages. Typos corrected, minor changes, references added.
Contribution to the 8th UK Foundations of Physics Meeting, 13-17 September, 1999, Imperial College, London, UK
Subj-class: General Relativity and Quantum Cosmology; Mathematical Physics Journal-ref: Entropy, 2 (2000) 39-69

We interpret the Holographic Conjecture in terms of quantum bits (qubits). N-qubit states are associated with surfaces that are punctured in N points by spin networks' edges labeled by the spin-1/2 representation of SU(2), which are in a superposed quantum state of spin "up" and spin "down". The formalism is applied in particular to de Sitter horizons, and leads to a picture of the early inflationary universe in terms of quantum computation. A discrete micro-causality emerges, where the time parameter is being defined by the discrete increase of entropy. Then, the model is analysed in the framework of the theory of presheaves (varying sets on a causal set) and we get a quantum history. A (bosonic) Fock space of the whole history is considered. The Fock space wavefunction, which resembles a Bose-Einstein condensate, undergoes decoherence at the end of inflation. This fact seems to be responsible for the rather low entropy of our universe.

Paper: Source (287kb), PostScript only

(N.B.: delivery types and potential problems)

refers to , cited by