The Holographic Emergence of Spacetime, Inflation, and Dynamical Dark Energy from Unitary Quantum Information Flow: The C3M3L3 Ontology

This preprint presents the Covariant Continuous Multi-scale Entanglement Renormalization Ansatz (C3M3L3), a parameter-free theoretical framework that derives continuous four-dimensional spacetime, early-universe inflation, and late-time cosmological dynamics strictly from first microscopic principles. By modeling gravity as the macroscopic geometric shadow of unitary quantum information flow originating on a 3-dimensional null future light-sheet, the C3M3L3 ontology circumvents the mathematical pathologies historically associated with perturbative quantum gravity.

Beginning with an absolutely minimal microscopic substrate on a transverse 2D plane—consisting solely of one real massless scalar field and one Majorana-Weyl fermion, which fixes the effective central charge at $c_{eff} = 3/2$—the framework employs Gauss-Codazzi mappings and Ward identities to mathematically recover global Lorentz invariance and 4D General Relativity. The unitary renormalization flow organically generates a resummed $f(R)$ effective action, yielding an exact exponential potential that drives an early-universe slow-roll inflationary hierarchy.

Crucially, because the C3M3L3 framework possesses zero phenomenological tuning parameters, it yields highly rigid, categorically falsifiable physical predictions. Through analytical recursion proofs and high-scale lattice validations, the framework derives the following exact cosmological observables:

• Inflationary Parameters (at $N=56$ e-folds): A scalar spectral index of $n_s = 0.9629$ and a tensor-to-scalar ratio of $r = 0.00399$.

   

• Dynamical Dark Energy: A strict 216-mode thermodynamic vacuum partition mandates the emergence of a dynamical dark energy component (quintessence) with a rigid fractional equation of state, $w_0 = -181/216 \approx -0.8380$.

   

These first-principles derivations offer a rigorous theoretical mechanism for the recent indications of dynamical dark energy ($w_0 > -1$) observed in the Dark Energy Spectroscopic Instrument (DESI) Year 1 data. This manuscript details the full analytical derivations, ghost-free stability proofs, and directly contextualizes the framework's predictions against the imminent empirical constraints expected from the upcoming Euclid Data Release 1 in October 2026, the Nancy Grace Roman Space Telescope, and next-generation cosmic microwave background observatories currently targeting the $r > 0.003$ detection threshold.