Link degree distribution, symmetrized Hasse diagram Laplacian eigenvalues, and causal interval abundance distinguish nine classes of causal sets.
A Classical Sequential Growth Dynamics for Causal Sets
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abstract
Starting from certain causality conditions and a discrete form of general covariance, we derive a very general family of classically stochastic, sequential growth dynamics for causal sets. The resulting theories provide a relatively accessible ``half way house'' to full quantum gravity that possibly contains the latter's classical limit (general relativity). Because they can be expressed in terms of state models for an assembly of Ising spins living on the relations of the causal set, these theories also illustrate how non-gravitational matter can arise dynamically from the causal set without having to be built in at the fundamental level. Additionally, our results bring into focus some interpretive issues of importance for causal set dynamics, and for quantum gravity more generally.
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gr-qc 2years
2026 2verdicts
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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.
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Charting causal set configuration space with graph observables
Link degree distribution, symmetrized Hasse diagram Laplacian eigenvalues, and causal interval abundance distinguish nine classes of causal sets.
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Towards black-hole horizons and geodesic focusing in causal sets
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.