# The atoms of spacetime and the cosmological constant

## TL;DR

This paper proposes a novel approach linking classical gravity to quantum spacetime microstructure, deriving field equations from state density maximization and relating the cosmological constant to cosmic information content.

## Contribution

It introduces a framework where gravity emerges from spacetime microstructure and connects the cosmological constant to cosmic information, providing a new perspective on quantum gravity.

## Key findings

- Field equations from density of states maximization
- Cosmological constant as an integration constant
- Finite cosmic information accessible to observers

## Abstract

I describe an approach which relates classical gravity to the quantum microstructure of spacetime. In this approach, the field equations arise from maximizing the density of states of the matter plus geometry. The former is identified using the thermodynamics of null surfaces. The latter arises from the existence of a zero-point length in the spacetime which associates an internal degree of freedom with each event in the spacetime, in the form of a fluctuating vector of constant norm. The density of states, as well as the resulting gravitational field equations, remain invariant when a constant is added to the matter Lagrangian, which is a symmetry of the matter sector. The cosmological constant arises as an integration constant and renders the amount of cosmic information accessible to an eternal observer finite. The relation between the cosmological constant and the cosmic information allows us to determine the numerical value of cosmological constant from the information content of the quantum spacetime, within the context of cosmology.