Emergent Latent Structure via Co-Reactivity to Shared Constraints Abstract:

Coordinated structure across independent systems is typically attributed to interaction or communication. Here we show that shared constraints alone are sufficient. Using a falsification-first framework with synthetic 64-dimensional embeddings (n = 10,000) across five regimes, validated on pre-trained neural network representations (two independently trained architectures, 384 dimensions), we demonstrate that: temporal coherence precedes structural organization (r₁ = −0.266, p = 0.036); identity is preserved at 0.999996 under adversarial perturbation while controls collapse; emergent boundaries are topologically nontrivial (d = 2.61, p = 0.028); and twin-system experiments rule out synchronization or non-local coupling. Spatial geometry generalizes to real neural network embeddings while temporal coherence emerges during autoregressive training at token-level granularity. Two principles emerge: constraint primacy (organization is governed by constraint structure, not representational capacity) and stabilization (functional progress corresponds to tightening of invariants, not expansion). These results establish constraint-mediated co-reactivity as a sufficient and falsifiable mechanism for emergent coordination.