2002/11/28 by George Sparling, Sparling, George · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum and electron transport phenomena #Topological Materials and Phenomena #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0211679
31 pages Latex
arxiv created 2002/11/28 · arxiv updated 2009/11/30
The construction by Zhang and Hu of a four-dimensional analogue of the Quantum Hall effect is generalized and recast as a purely geometrical theory, using the languages of Lie group theory and twistor theory. It emerges that the Zhang-Hu quantum liquid lies naturally in twistor space and is apparently more primitive than space-time itself, in accordance with twistor philosophy. The quantum liquid is then the glue that holds space-time together. It is argued that the theory is inherently chiral and time asymmetric, consonant with previous conjectures.