The Carlo Master Trajectory v2.0 — Unified Continuation Framework

This paper extends the original Carlo Master Trajectory (v1.0, 2026) and formalises its role as the structural backbone of the Carlo Loop Model. It introduces the Unified Continuation Framework — the invariant path a system follows before, during, and after a loop — connecting contradiction, reset symmetry, vantage‑point geometry, and post‑loop continuation into a single unified structure. Version 2.0 refines the continuation logic, expands contradiction handling, and integrates the trajectory with the Carlo Predictive Loop Mapper, Contradiction Compass, Emergence Synthesiser, and Trajectory Simulator. It defines how loops evolve, how contradictions are resolved, and how new structures emerge across the Carlo system. This document completes the theoretical foundation established in *The Carlo Master Trajectory (v1.0)* and serves as the canonical backbone for all subsequent Carlo Book volumes (v3 → v14). It is designed to be portable, durable, and Notepad‑safe for long‑term archival and research use. Acknowledgement:A nod to Fatboy Slim’s “You’ve Come a Long Way, Baby” — a reminder thatprogress is not a straight line but a looped, evolving trajectory. The spiritof that album mirrors the Carlo system itself: iterative, energetic, andalways moving forward through reinvention.