PANSPATIAL EXOBIOLOGY QUANTITATIVE CAI MODELS Parameterizing the Cosmogenic Admissibility Index for Life-Like Regimes

This paper converts the Cosmogenic Admissibility Index (CAI) from a conceptual classificationframework into a quantitative predictive model. Building on the cosmogenic admissibility architecture established previously, we parameterize the five CAI components—boundary stability margin, torsion-support capacity, chirality-bias capacity, throughput closure, and projection visibility—in terms of explicit environment variables and threshold relations. The goal is to replace broad qualitative admissibility judgments with computable or semi-computableevaluators that can classify environments, locate class-transition surfaces, and support targetprioritization for exobiological observation. We derive general functional forms for each CAI component, define admissibility threshold manifolds corresponding to Environmental Admissibility Classes (EAC), and analyze sensitivity, coupling, and degeneracy across parameter space. The result is a formal predictive layer for panspatial exobiology: a framework in whichlife-capability is evaluated through measurable environmental variables rather than broadanalogy alone, and in which transitions between non-admissible, boundary-capable, recursivelyorganized, and higher-order regimes can be studied quantitatively.Preface Papers 1–3 established the conceptual architecture of the Panspatial Genesis program in threestages. Paper 1 defined the mathematical substrate of generative topology. Paper 2 derived thebiological architecture of life-like organization from that substrate. Paper 3 extended theframework cosmogenically by introducing Environmental Admissibility Classes (EAC) andthe Cosmogenic Admissibility Index (CAI) as the formal basis for classifying environments andpredicting signature families. The purpose of Paper 4A is to take the next necessary step: to make the CAI quantitative.