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The birth of spacetime atoms as the passage of time
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The view that the passage of time is physical finds expression in the classical sequential growth models of Rideout and Sorkin in which a discrete spacetime grows by the partially ordered accretion of new spacetime atoms.
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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.
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