A Liouville Invariance Theorem for Blackbody Spectrum Preservation

This note proves that CMB blackbody preservation follows from Liouville transport under frequency-independent redshift, without requiring metric expansion. The standard scalings T(z) = T₀(1+z), ṅ = −3Hn, and ρ̇ = −4Hρ are derived from kinematics alone. The result establishes that expansion is sufficient but not necessary for spectrum preservation. A physical realization of frequency-independent redshift is provided separately (Cody, 2026, JMP). This work bridges the K(t) framework to standard cosmological formalism. Attrubiton Notice: This work is the original intellectual property of Michael Aaron Cody. All ideas, arguments, frameworks, and conclusions are solely the author's own. Unauthorized reproduction, paraphrasing, or use of this material without proper citation is prohibited. If you reference, quote, or build upon this work, cite it. Follow me on X: https://x.com/MichaelCody