Expression-Dependent Inversion of Gene Correlations and Diversity in Single Cells

This work presents a minimal structural framework for analyzing systems that exhibit sharp transitions, sensitivity concentration, and apparent universality across domains. By stripping the framework to its core assumptions, we show that many observed “corridor” effects—narrow regions where response, variance, or informational sensitivity peak—arise generically from bounded control parameters, smooth response functions, and finite resolution. The analysis clarifies which aspects of the framework are mathematically necessary consequences of scaling and encoding, and which aspects may carry empirical or heuristic value. Emphasis is placed on encoding dependence, resolution effects, and the distinction between intrinsic structure and projection-induced artifacts. Rather than proposing a new physical theory, this work functions as a diagnostic lens: a way to test whether observed coherence, universality, or criticality reflects genuine system structure or emerges from representation, measurement, or aggregation choices. The framework is intentionally domain-agnostic and may be applied to problems in physics, computation, information theory, and complex systems analysis.