Emergent Dark Matter and Dark Energy from a Lattice Model

TL;DR

This paper introduces a lattice-based quantum bosonic qubit model to simulate and analyze various theories of dark matter and dark energy, highlighting novel implementations of constraint equations and topological defects.

Contribution

It presents a new lattice model framework that captures different dark matter theories with unique constraint implementations and topological defect structures.

Findings

Successfully models mimetic dark matter on a lattice

Integrates topological defects into dark matter theories

Provides a new approach to simulate dark energy and dark matter

Abstract

We propose a quantum bosonic qubit model on a fcc lattice to obtain mimetic dark matter. The general relativity contribution is implemented similarly to other works but it differs strongly on the implementation of the constraint equations and their meaning. Different theories as mimetic dark matter, the vector mimetic dark mater, and tensor-vector-scalar models are implemented on the lattice. In all these cases, a generalized Gauss' law incorporates an additional topological defect depending on the type of generalization, but always fitting in the structure of the topological defects from general relativity contribution.