Coherence-Adjusted Chronology

Current chronological models rest on a foundational assumption: radioactive decay is a universal constant, unaffected by the physical environment of the decaying nucleus. This assumption underlies every radiometric dating technique in archaeology, geology, and cosmology. This paper challenges that assumption directly by introducing Coherence-Adjusted Chronology (CAC), a framework in which the rate of isotopic decay is a function of the Informational Burden (Iμν) and the Structural Integrity (ℹₛₜ) of the surrounding physical lattice. Utilizing the Altered Middle Calculus (AMC) developed in Paper 2 of this series, we derive the Lattice-Shielding Hypothesis: high-integrity sp³ tetrahedral lattices — exemplified by diamond — suppress the stochastic vacuum jitter (γ) that functions as the triggering mechanism for neutron-to-proton beta decay, effectively modulating the local arrow of time. The s = 1 pole of the Birch and Swinnerton-Dyer (BSD) Conjecture L-function is identified as the mathematical threshold — the Handshake Threshold — at which local informational burden triggers irreversible phase transition. A falsifiable experimental protocol is presented: Carbon-14 decay rates in synthetic diamond (sp³) versus synthetic graphite (sp²) matrices, grown from an identical isotopically-calibrated source, monitored by Liquid Scintillation Counting (LSC) and Accelerator Mass Spectrometry (AMS) over multi-year intervals. Standard physics predicts no difference. CAC predicts a measurable Decay Variance δᵈ > 0, specifically λₛₚ₃ = λₙₒᵐᵉʳₐᵍ · e⁻𝒮ₗ. If confirmed, every radiometric date in science requires a Coherence Correction — and the possibility of informational forgery through lattice manipulation must be incorporated into archaeological and forensic methodology. This paper employs the AMC framework (Paper 2) and the Informational Coherence Tensor Iμν (UCT, Paper 1) throughout. The global conservation law ∑ Iμν = Constant is demonstrated to connect microscopic lattice shielding to the macroscopic Middle Space of the universe, unifying the experimental prediction within the broader UCT cosmological framework.