A 2+1d simulation of Energetic Causal Sets exhibits a disorder-to-crystal phase transition, mirroring the 1+1d emergence of quasi-particles and showing limit-cycle behavior.
Dieks, Becoming, relativity and locality , Philosophy and Foundations of Physics 1, 157–176 (2006)
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Quantum Spacetime Leaps: Higher Dimensional Energetic Causal Sets
A 2+1d simulation of Energetic Causal Sets exhibits a disorder-to-crystal phase transition, mirroring the 1+1d emergence of quasi-particles and showing limit-cycle behavior.