Self-Contained Derivation of the Dark Energy Fraction Ω_Λ = 0. 6834 in the U-Cell Model

Key Points

• The aim is to derive the dark energy fraction Ω_Λ without external references.
• Derived dark energy fraction directly from the UCM substrate dispersion relation
• Included all necessary calculations and intermediate results
• Ensured no free parameters were present in the derivation
• Derived dark energy fraction as Ω_Λ = 0.6834
• Agreement with Planck 2018 results within 0.19%
• Provided a complete technical framework without prerequisites