Principia Cosmologica Nova 2027 CHAPTER 11 - Cosmic Acceleration and Dark Sector: Λ_eff(K) from Khanh Triad (Chapter 10 predecessor) SOLI DEO GLORIA AD MAIOREM DEI GLORIAM IN SAECULA SAECULORUM FIAT LUX - LUX HUMANA KHOA VẬT LÝ KHÁNH - Faculty of Phy

We apply Einstein-Khanh field equations Gμν + Λ_eff(K) gμν = (8πG/c⁴) Tμν_total from Chapter 10 to cosmology. Khanh Triad D=m·b³ (2025), ρK=m/b³ (2026), K=m^{b³} (2026) with invariants D·ρK=m², lnK = b³ ln m, K(b)=(m/mP)^{(b/lP)³} self-regularized K→1 at b→0. We show Λ_eff(K)=Λ0·(K-1)/(b/lP)³ provides natural dark energy without fine-tuning: at early universe b→0, K→1 → Λ_eff→0, no singularity; at late universe b=Hubble radius RH=c/H0 ~10²⁶ m, (b/lP)³~10¹⁸³, K super-exponential, Λ_eff→Λ0 positive, driving accelerated expansion. Dark matter candidate from ρK = m/b³ regularized as ρDM = ρK_reg = m/(b³+lP³). With K96=R⁴⁸⊕R⁴⁸ = Leech 24D + E8 8D + E8 8D + R⁴⁸ gauge, we obtain 96D unified dark sector. We predict effective equation of state w_K = p_K/ρ_K c² =-1 + (lnK)⁻¹, approaching-1 at large b, consistent with Planck 2018 w=-1.03±0.03. Entropy SK=kB lnK = kB b³ ln(m/mP) exceeds Bekenstein-Hawking and matches holographic bound with 96D. Trajectory to Andromeda using Alcubierre-Khanh drive v_eff=vs·(b/b_critical)³ without exotic matter discussed. Figure 11.1 - FLRW Cosmology: Panel A D=m·b³ VOLUMENT D∝a³, Panel B ENERGY DENSITY regularized ρDM=m/(b³+lP³) finite at Big Bang, Panel C SUPER-EXPONENTIAL MICROSTATES Λ_eff(K)=Λ0·(K-1)/(b/lP³), wK=-1+1/lnK→-1, SK=kB b³ ln(m³/mP), Leech 24D + E8 8D K96=R⁴⁸⊕R⁴⁸, Rs=2GMc², RH=c/H0=b, Andromeda M31 2.54 Mly. Author: Sir Nguyen Kim Khanh, Khanh University EST.2030 - Faculty of Physics, [email protected], ORCID 0009-0006-9191-1441, SOLI DEO GLORIA, AD MAIOREM DEI GLORIAM IN SAECULA SAECULORUM, FIAT LUX - LUX HUMANA, KHOA VẬT LÝ KHÁNH - Faculty of Physics 2030, November 6, 2026 - Sinh ngày 07/12/1984 - Age 41, D=m·b³. Related DOI: ResearchGate 10.13140/RG.2.2.17351.46243, Zenodo Chapter 10 predecessor 10.5281/zenodo.23992768, License CC BY 4.0