Paper I: A Geometric Fixed-Point Reading of the CKN Holographic Coefficient: C₁ = π²/ (16e²)

Key Points

• The paper aims to derive the ideal geometric fixed-point reading of the CKN holographic coefficient.
• Calculates a geometric fixed point using boundary-saturation unit (τ = 1) determined by the Bekenstein-Hawking entropy.
• Derives the theoretical dark energy density fraction based on the fixed-point reading.
• The derivation provides a holographic coefficient of C_1 = π²/(16e²).
• Determines a dark energy density fraction of Ω_Λ^(fp) ≈ 0.6994 that is independent of H_0 and G.