The τ-Epoch Discovery II: Cross-Domain Empirical Evidence for an Internal Temporal Coordinate in Physical Measurement

Discovery statement This work reports the identification of internal time (τ) as an empirical degree of freedom of measurement extracted directly from the published scientific record. The analysis demonstrates that a single configuration-invariant signature appears across six independent scientific domains: cosmology (Hubble constant tension) particle physics (ATLAS–CMS Higgs coupling offsets) quantum chemistry (¹H NMR inter-laboratory scatter) nuclear physics (neutron lifetime bottle–beam discrepancy) atomic physics (proton charge radius puzzle) hadronic theory (muon g-2 theoretical conflict) Across all domains the same constrained structural pattern is observed: • sign-consistent method stratification • monotonic ordering with an intrinsic method timescale proxy • a scaling structure reproduced by a fixed projection operator The mechanism is captured by the Two-Clock Projection Law C_obs(k) = C_true · Π(τ_method(k) / t) where τ is an intrinsic temporal coordinate associated with the measurement process. No new experiments, instruments, recalibrations, or free parameters are introduced. All results are derived exclusively from published datasets and are fully reproducible using the provided executable analysis code. The six domains are operationally non-communicating: they share no instruments, calibration chains, or analysis pipelines capable of generating a coherent cross-domain bias. Under the locked proxy constraints defined in the paper, the traditional single-clock measurement framework cannot reproduce the observed cross-domain signature. The paper therefore establishes a structural result: internal time τ is a measurable degree of freedom implicit in the act of physical measurement. All statistical checks can be independently verified directly from the tables and code provided in the manuscript.