2002/11/28 by George Sparling, Sparling, George · 18 citations
Mathematics · Physics and Astronomy · #Electron #Law #Mathematical physics #Mathematics #Physics #Physics of Superconductivity and Magnetism #Political science #Quantum Hall effect #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Topological Materials and Phenomena #Twistor theory #Zhàng #cond-mat.mes-hall
paper · pdf · doi:10.48550/arxiv.cond-mat/0211679
published in arXiv (Cornell University) (Cornell University) · 31 pages Latex
arxiv created 2002/11/28 · openalex publication_date 2002/11/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.