Emergent Modified Growth from KK Dark Matter: Chronon-Regulated Foliation, S8-Targeted Phenomenology, and Multi-Probe Falsifiability

We present a falsifiable brane-world framework that addresses the S8 tension via Kaluza–Klein dark matter (KK-DM) in a Randall–Sundrum bulk. The model predicts an oscillatory void–galaxy correlation at r∼15 h−1Mpc, testable with DESI and absent in f(R), Horndeski, or massive-neutrino alternatives. Current data allow (but do not require) the framework; upcoming surveys will decide.