Classicity from Entangled Ensemble States of Knotted Spin Networks. A Conceptual Approach

Details Classicity from Entangled Ensemble States of Knotted Spin Networks. A Conceptual Approach Classicity from Entangled Ensemble States of Knotted Spin Networks. A Conceptual Approach

2000-07-12

arxiv.org/abs/gr-qc/0007024v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Contribution to icmp2000, July 17-22, 2000, Imperial College London (GRL 2.11)

Scientific paper

Referring to a conception put forward by Stuart Kauffman in his "Investigations", it is shown how the onset of classicity can be visualized in terms of an emergent process originating in entangled ensemble states of knotted spin networks. The latter exhibit a suitable autocatalytic behaviour effectively producing knots by knots acting upon other knots. In particular, a quantum computational structure can be described underlying spin networks such that most conditions for a partial ordering are not more valid for the latter. A concep- tual argument is given then indicating that on a fundamental level, physics is non-local and a-temporal, and hence does not admit of the concept of causality. Hence, modelling the emergence of classicity in terms of a percolating web of coherence eventually decohering (in using a cellular automata architecture) does not imply the necessity of visualizing histories of directed percolation as causal sets. These aspects are compatible though with the recent concept of spin foams which do not actually imply distinguished directions of time flow on the micro-level.

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