R-CCC — Continuum Capability Classification

R-CCC presents a formal capability-based classification of informational continua. R-CCC is a non-normative reference document synthesizing eliminative results from E0, E1, and E2; it introduces no new axioms, mechanisms, or assumptions.

Guiding Principle: A continuum is classified by capability, not composition. Two continua belong to the same class if and only if they support the same constructive capabilities under admissible dynamics, regardless of microscopic implementation.

Capability Ordering: Classes form a strict hierarchy: $C0 \subset C1 \subset C2 \subset C3 \subset C4 \subset C5 \subset C6$. Each inclusion is empirically or formally justified within current eliminative results. Capabilities are ordered by strict necessity; higher classes require all lower-class capabilities; no higher-class capability was observed to emerge without all prerequisite classes.

Key Result from Quantum Emergence Program: Quantum-capable continua do not require additional substrate primitives beyond those established in E0; quantum structure emerges from stricter admissibility and compatibility regimes applied to the same primitives.

Purpose: Classification derived from and constrained by completed Constructor Emergence Program (E1), Quantum Emergence Program (E2), and formal developments in M1–M5. Goal is to classify continua by what they can stably support, as determined by eliminative empirical and formal results. Serves as synthesis document, reference framework for Paper C and later work, structural guide consolidating Constructor and Quantum Emergence results.

Paper ID: R-CCC | Series: R-series (Reference) | Status: Reference document | Dependencies: Informed by A, M1–M5, E0–E2