Chronometric Closure Paper III Benchmark Calibration and Empirical Control of the Chronometric Source Sector

Chronometric Closure Paper III: Benchmark Calibration and Empirical Control of the Chronometric Source Sector Tovi Zituny — Independent Researcher, May 2026 Overview This paper is the third in the Chronometric Closure Series. Chronometric Closure Papers I and II strengthened the source sector of the CIFT–CMM–CUP programme at the theoretical level. Paper I derived the generalized chronometric source structure from admissible low-frequency open-system environments. Paper II reconstructed the channel-projection compatibility condition as a conditional algebraic projection result. Together, those papers established: E_adm(S3) + modular-record projection regime ⇒ J_source^general. The present paper addresses the next requirement: empirical control. A theoretically coherent source sector must be exposed to independent observational channels. Paper III constructs the benchmark-calibration and falsifiability architecture through which the chronometric source sector becomes testable. Main Result The paper defines a closed benchmark parameter vector: θ_CUP^B = (ε_D^ctrl, ε_κ^ctrl, δ_proj, κ_R, κ_D, Ξ_∇, β_clock, β_AI, β_cosmo, β_GW) and organizes falsification around four independent observational channels: precision optical clocks, atom interferometry, cosmological distance and expansion constraints (Planck 2018, DESI DR2), and stochastic gravitational-wave and pulsar-timing constraints (NANOGrav 15yr, LVK). For each channel c, a survival set Θ_c is defined within the chronometric parameter space. The benchmark family survives only if the cross-channel intersection is nonempty: Θ_survive = Θ_clock ∩ Θ_AI ∩ Θ_cosmo ∩ Θ_GW ≠ ∅. If the intersection is empty for a prespecified benchmark family, that family is falsified. The central result is Falsification Criterion B1, a cross-channel survival and exclusion rule that converts the chronometric source sector from a purely theoretical construction into a parameterized family exposed to principled benchmark testing. Seven anti-overfitting rules are stated explicitly to prevent single-channel fitting, post-hoc source map adjustment, anomaly-first parameter tuning, and threshold relocation after evaluation. A preregistration-compatible implementation protocol is provided. Claim Status The result is a benchmark admissibility and falsification criterion, not a completed empirical analysis. No claim is made that current data confirm the chronometric source sector. Survival means non-exclusion within the specified benchmark family; it is not confirmation. Source-to-observable maps F_c are required for concrete numerical testing and are identified as implementation tasks for subsequent papers. The parameter vector θ_CUP^B is closed — adding any additional fitting parameter defines a new benchmark family, not a revision within the current test. The control parameters ε_D^ctrl and ε_κ^ctrl enter as theoretical admissibility gates, not as post-hoc fitting knobs. Structure The paper contains eleven sections. Section 2 defines the benchmark parameter vector. Section 3 states Falsification Criterion B1. Sections 4–7 develop the four benchmark channels: precision clocks, atom interferometry, cosmology, and stochastic gravitational waves. Section 8 assembles the cross-channel survival rule and Bayesian formulation. Section 9 provides the implementation protocol and anti-overfitting rules. Section 10 assesses implications for the closure programme. Section 11 concludes. A claim-status summary table is provided.