C³M³L³ First-Principles Derivation of Holographic Spacetime, Starobinsky Inflation, and Dynamical Dark Energy from Unitary cMERA Tensor Networks on the Null Light-Sheet

This is the complete, self-contained release of the c³m³l³ v2.3 framework — a minimally-parameterized covariant continuous Multi-scale Entanglement Renormalization Ansatz (cMERA) tensor-network ontology in which spacetime, gravity, and cosmology emerge purely from unitary quantum information flow on the future null light-sheet.

Key Features of v2.3:

• Explicit first-principles derivation of the Starobinsky potential and all slow-roll parameters (including higher-order terms up to O(N−5) O(N^{-5}) O(N−5)) at $N=65.4$ e-folds
• Dynamical dark-energy equation of state with w0=−0.7179 w_0 = -0.7179 w0=−0.7179 (full complexity-corrected) and bare analytic value w0=−0.8095 w_0 = -0.8095 w0=−0.8095, using the exact complexity ratio Ctot/Cmax=0.3333 C_{\rm tot}/C_{\rm max} = 0.3333 Ctot/Cmax=0.3333
• Closed-form redshift-dependent equation of state $w(z)$ that naturally exhibits phantom crossing ($w=-1$) at $z\approx 0.80$, consistent with DESI DR2 hints of Quintom behavior
• Genuine 8×8 transverse lattice cMERA simulation with exact SVD isometries confirming ceff=1.5 c_{\rm eff} = 1.5 ceff=1.5 and entropy scaling
• Full non-perturbative derivation of global Lorentz restoration via overlapping Quantum Reference Frame (QRF) patches and exponential damping kernel
• Direct alignment with DESI DR2 observational signatures (Δχ2=−4.8 \Delta\chi^2 = -4.8 Δχ2=−4.8 relative to flat $\Lambda$CDM)
• All numerical results are derived with zero tuning and zero ad-hoc factors from the single microscopic input ceff=3/2 c_{\rm eff} = 3/2 ceff=3/2 and the e-fold counting $N=65.4$

Contents:

• Complete LaTeX thesis (v2.3) with all chapters and appendices
• Final MATLAB verification suite (VOL_3_v2_3_final.m) including the full 8×8 lattice cMERA simulation
• All derivations (Gauss–Codazzi mapping, complexity integrals, phantom crossing, higher-order slow-roll parameters, Lorentz restoration, etc.)

This archive provides everything needed to reproduce, verify, and extend the framework. It is fully consistent with the latest DESI DR2 results and ready for direct use in cosmological likelihood analyses.

Version: v2.3 (April 2026) License: CC BY 4.0 Keywords: holographic cosmology, cMERA, Starobinsky inflation, dynamical dark energy, entanglement renormalization, null light-sheet, first-principles derivation