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

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

2004-01-13

arxiv.org/abs/cond-mat/0401224v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

It 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.

Affiliated with

Also associated with

No associations

Rating

Non-Commutative Time, the Quantum Hall Effect and Twistor Theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Non-Commutative Time, the Quantum Hall Effect and Twistor Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Non-Commutative Time, the Quantum Hall Effect and Twistor Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-634009