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The Boundary of the Future

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arxiv 1711.06689 v2 pith:2HMWYYGN submitted 2017-11-17 hep-th gr-qcmath-phmath.DGmath.MP

Chris Akers , Raphael Bousso , Illan F. Halpern , Grant N. Remmen This is my paper · ORCID
classification hep-thgr-qcmath-phmath.DGmath.MP
keywords boundaryfuturegeodesicholographicpointsscreensanotherapplications
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abstract

We prove that the boundary of the future of a surface $K$ consists precisely of the points $p$ that lie on a null geodesic orthogonal to $K$ such that between $K$ and $p$ there are no points conjugate to $K$ nor intersections with another such geodesic. Our theorem has applications to holographic screens and their associated light sheets and in particular enters the proof that holographic screens satisfy an area law.

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