CCC Aurora Threshold Program: Realizability-Gated Residual Coherence Projection-Compressed Observability and Operational Closure

This work develops the CCC Aurora Threshold Program as a post-V6.1 threshold-survival and operational-closure module within Causal Cloud Cosmology (CCC). Aurora is not introduced as a decorative metaphor, a free amplification factor, or a replacement for established physics. It is defined as a CCC-native mechanism for asking when accumulated structural persistence becomes eligible to survive projection-compressed observability as certifiable residual coherence. The framework introduces accumulated realizability content, a realizability-gated residual-coherence survival factor, curvature-direction persistence, SCS–Z certification, null-baseline protection, robustness auditing, and controlled matched-template recovery as complementary operational tools. The central Aurora closure is: R_acc(T) > R_0 → χ_coh > 0 → curvature-direction persistence → |Z_obs| > 3 → |Z_obs| > |Z_null,95|. Within this framework, the T²-like nonlinear structural-memory term is interpreted as diagnostic scaling from pairwise accumulated realizability, not as an externally imposed fitting correction. Observable certification is performed through residual curvature-direction persistence, SCS–Z significance, and null-baseline protection. The paper remains conservative in scope. It does not claim to replace general relativity, quantum mechanics, ΛCDM, or established observable-regime physics. Instead, it provides a threshold-survival and operational certification module for testing whether projection-compressed residual carriers contain survivable residual coherence under CCC. This work should be read as part of the post-V6.1 CCC development lineage, extending the CCC framework toward threshold-gated residual-coherence survival, operational closure, and falsifiable certification.