Quantum Knots

Details Quantum Knots Quantum Knots

2004-03-30

arxiv.org/abs/quant-ph/0403228v2

Physics

Quantum Physics

17 pages, 13 figures, LaTeX document

Scientific paper

10.1117/12.544072

This paper proposes the definition of a quantum knot as a linear superposition of classical knots in three dimensional space. The definition is constructed and examples are discussed. Then the paper details extensions and also limitations of the Aravind Hypothesis for comparing quantum measurement with classical topological measurement. We propose a separate, network model for quantum evolution and measurement, where the background space is replaced by an evolving network. In this model there is an analog of the Aravind Hypothesis that promises to directly illuminate relationships between physics, topology and quantum knots.

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