Causal Set Theory (CST) models spacetime as a discrete, locally finite partial order encoding causal relations, while Modal Triplet Theory (MTT) describes spacetime as an emergent structure arising from a continuous underlying modal field through stability and projection. We show that causal sets arise naturally as effective, coarse-grained descriptions of the emergent spacetime sector of MTT. In this framework, discreteness and causal order are not fundamental assumptions but derived features enforced by spectral gaps and admissibility constraints of the coherent sector. We present two complementary constructions: a kinematical route based on Poisson sprinkling of emergent spacetime at a dynamically determined coherence scale, and a dynamical route in which causal set elements correspond to physically meaningful coherence-selection events such as measurements or horizon crossings. This perspective preserves the core successes of CST while explaining why causal order and discreteness arise, situating causal sets as an effective encoding within a broader continuous theory.
Peter Nero (Thu,) studied this question.