Recursive Rapidity: An Operational Extension to Relativistic Time Inference

General Relativity (GR) provides a complete dynamical description of spacetime geometry and the evolution of ideal clocks along worldlines. However, cosmological observations rely not on direct clock comparison, but on the reconstruction of temporal information transported across vast hierarchical structures. In this paper, we introduce **recursive rapidity**, an operational construct describing how inferred temporal intervals transform when signals traverse distinct hierarchical recursion contexts. We show that hierarchy transitions compose additively in recursive rapidity—analogous to Lorentz boosts in Special Relativity—rather than multiplicatively as scale factors. This structure exposes a blind spot in standard cosmological inference: GR constrains clock dynamics and signal propagation, but does not constrain how observers reconstruct time across non-equivalent recursive frames. We argue that several persistent cosmological measurement bifurcations, including the Hubble constant discrepancy, are naturally interpreted as frame effects in recursive rapidity space rather than failures of GR or indicators of new dynamical physics.