The Quantum Vacuum Catastrophe and Dark Matter in ERQE Architecture

Abstract

Quantum Field Theory (QFT) predicts a theoretical vacuum energy density 120 orders of magnitude higher than the observed value. In this work we explore the formal plausibility that part of this discrepancy derives from an ontological assumption that can be overcome: the hypothesis of a Hilbert space of infinite size, capable of hosting unlimited and independent ultraviolet (UV) modes. Within the ERQE (Emergent Reality Quantum Execution) framework, the universe is modeled as an informational architecture in which the size of accessible Hilbert space () is tightly finite and constrained by global coherence. Applying the quasi-local Misner-Sharp mass to the Hubble horizon, we analytically derive that the maximum tolerable mass density equals the critical Friedmann density. Using the Modular Hamiltonian in Algebraic QFT (AQFT), we present a formal lemma that shows how regularization on cancels out the zero-point gravitational contributions, decoupling them from the semiclassical tensor. The cosmological constant thus emerges not as particle energy, but as geometric inertia (redundant refresh regime) of the saturated holographic horizon. The model provides falsifiable predictions about the equation of state and suppression of the cosmic microwave background radiation at large scales. The exploration scenario proposed here is strictly valid within the hypotheses of cosmological isotropy (background FLRW) and local Hadamard states, and is accompanied by numerical lattice simulations. A section on dark matter has been added. All the work is in a very rough draft state, it's just a set of ideas written down to fix them, carefully verify the deductions before using them.