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Horizon Molecules in Causal Set Theory

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arxiv 1909.08620 v1 pith:5KH5ZGS6 submitted 2019-09-18 gr-qc hep-th

Horizon Molecules in Causal Set Theory

classification gr-qc hep-th
keywords horizoncausalmoleculescontinuumcorrectionsdiscretenesshypersurfaceorder
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We propose a new definition of "horizon molecules" in Causal Set Theory following pioneering work by Dou and Sorkin. The new concept applies for any causal horizon and its intersection with any spacelike hypersurface. In the continuum limit, as the discreteness scale tends to zero, the leading behaviour of the expected number of horizon molecules is shown to be the area of the horizon in discreteness units, up to a dimension dependent factor of order one. We also determine the first order corrections to the continuum value, and show how such corrections can be exploited to obtain further geometrical information about the horizon and the spacelike hypersurface from the causal set.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Towards black-hole horizons and geodesic focusing in causal sets

    gr-qc 2026-05 unverdicted novelty 7.0

    Causal sets can approximate black hole horizons via discrete timelike curves and ladders tracing null geodesics, with a discrete expansion changing sign across the horizon in a 1+1D toy model.