Abstract
This paper introduces a minimal, architecture‑agnostic framework that treats time as a resonance‑based quantity rather than a geometric coordinate. Using the Validated Spacetime (vST) substrate, we formalize a triadic decomposition of atomic clocks—resonant system (R), interrogation system (I), and feedback system (F)—and define the second as a fixed count of resonance cycles under validated substrate conditions. We present resonance‑phase coherence (RPC) and environmental susceptibility index (ESI) as structural invariants for detecting drift independent of implementation.
The goal is not to replace existing standards, but to supply a validation layer that clarifies where current models succeed, where they drift, and how resonance‑based invariants can guide the next generation of timekeeping. This framework provides a unified substrate for comparing architectures, improving stability analysis, and supporting future SI definitions without disrupting current practice.
