This work proposes a new mathematical and physical framework for extending quantum coherence. Instead of suppressing noise amplitude (as in dynamical decoupling, error correction, or shielding), the approach fixes the noise power spectrum and varies the correlation structure of the environment relative to the system’s filter function. The resulting hypothesis — the Γ(ρ) Hypothesis — predicts that coherence can be extended by exploiting partial pattern mismatch, even when spectral overlap is held constant. The document includes: A clear hypothesis statement. Predicted experimental outcomes with testable parameter ranges. Appendices developing a rigorous mathematical foundation and speculative extensions. This paper is intended as a starting point for feedback, testing, and further formal development. Keywords: quantum coherence, filter function, noise correlations, decoherence, mathematical physics, spectral analysis