Cosmic Recursive Genesis (CRG): A Systematic Falsification Study of Relational Emergence

This preprint records a systematic falsification study of Cosmic Recursive Genesis (CRG), an exploratory program asking whether nonclassical operational structure and effective geometry can emerge from common relational dynamics without assuming quantum theory, spacetime dimension, noncommutativity, or a preferred external time. It reports rejected implications, surviving constraints, numerical toy evidence, and interfaces with established mathematics. The work does not claim a completed fundamental theory. Its main contribution is a reproducible map of failed routes and a narrow candidate research stake: a redundancy-consistency tradeoff connecting sequential edge-addition robustness to signed-consistency survival under explicit defect assumptions. Novelty of that connection is not claimed pending systematic prior-art review.