Non-Commutative Time, the Quantum Hall Effect and Twistor Theory

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dc.creatorMihai, Dana
dc.creatorSparling, George
dc.creatorTillman, Philip
dc.date2004-01-13
dc.date.accessioned2026-07-07T02:55:53Z
dc.date.available2026-07-07T02:55:53Z
dc.descriptionIt is proposed that Maxwell theory, with a topological term, in four non-commutative dimensions, where the co-ordinates obey the Heisenberg algebra, is an umbrella theory for the description of the two-dimensional Quantum Hall Effect (following the fluidic approach of Susskind and Polychronakos), the twistor analyses of self-dual gravity, solitons and instantons and the twistor theory of isolated horizons in space-time. Applied to the Quantum Hall case, the underlying metric is Lorentzian: two canonically conjugate co-ordinates are spatial, the other two co-ordinates naturally are null and represent time and a conjugate energy variable.
dc.identifierhttps://arxiv.org/abs/cond-mat/0401224
dc.identifierhttp://arxiv.org/abs/cond-mat/0401224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/23105
dc.subjectMesoscale and Nanoscale Physics
dc.titleNon-Commutative Time, the Quantum Hall Effect and Twistor Theory
dc.typetext

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