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arXiv · hep-th/0401094

Twistors and Holography

Andrew Chamblin
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Abstract

We extend Bousso's notion of a lightsheet - a surface where entropy can be defined in a way so that the entropy bound is satisfied - to more general surfaces. Intuitively these surfaces may be regarded as deformations of the Bousso choice; in general, these deformations will be timelike and so we refer to them as `timesheets'. We show that a timesheet corresponds to a section of a certain twistor bundle over a given spacelike two-surface B. We further argue that increasing the entropy flux through a given region corresponds to increasing the volume of certain regions in twistor space. We further argue that in twistor space, it might be possible to give a purely topological characterization of a lightsheet, at least for suitably simple spacetimes.

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Andrew Chamblin. 2004-04-30. Twistors and Holography. https://doi.org/10.1088/0264-9381%2F21%2F9%2F009

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