CAT'S Theory — Field Deployment Guide: Mapping Common Objections to Established Theorems in the Minimal Bases and Minded Worlds Series

The five-paper Minimal Bases and Minded Worlds series established that the Triadic Meta-Law P × I × Pr ≠ 0 is necessary across five domains: minded worlds, emergentist bases, intelligibility, existence as such, and thermodynamics. The series is formally closed. This companion document is not a sixth paper. It is a practical field guide for real-time debate deployment: a systematic taxonomy of objection types encountered in live discourse, each mapped to the specific theorem, lemma, or corollary that defeats it. Every objection catalogued here is an instance of a result already proven. The guide provides nine objection classes (Counterexample, Fallacy Charge, Bare Rejection, Genetic Dismissal, Redefinition, Scope Limitation, Ad Hominem, Triviality Charge, Obscurantism Charge) with expanded routing tables covering reductio, burden of proof, competing frameworks, panpsychism, eliminative materialism, and mereological objections. It includes a diagnostic decision tree for rapid classification under pressure, escalation-pattern recognition for chained objections (Standard, Academic, and Hostile cascades), audience dynamics guidance for live-stream deployment, and an agree-and-amplify tactic for structurally absorptive resolution. A worked example from a May 2026 live debate on non-dualistic awareness demonstrates the Standard Cascade (O1→O2→O3→O4) with four objection classes defeated by four established results. No new theorems are introduced; the contribution is organizational.