The atoms of space, gravity and the cosmological constant

Author:

Padmanabhan T.1

Affiliation:

1. IUCAA, Pune University Campus, Ganeshkhind, Pune 411007, India

Abstract

I describe an approach which connects classical gravity with the quantum microstructure of spacetime. The field equations arise from maximizing the density of states of matter plus geometry. The former is identified using the thermodynamics of null surfaces while the latter arises due to the existence of a zero-point length in the spacetime. The resulting field equations remain invariant when a constant is added to the matter Lagrangian, which is a symmetry of the matter sector. Therefore, the cosmological constant arises as an integration constant. A nonzero value [Formula: see text] of the cosmological constant renders the amount of cosmic information [Formula: see text] accessible to an eternal observer finite and hence is directly related to it. This relation allows us to determine the numerical value of [Formula: see text] from the quantum structure of spacetime.

Publisher

World Scientific Pub Co Pte Lt

Subject

Space and Planetary Science,Astronomy and Astrophysics,Mathematical Physics

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1. Thermodynamics as a tool for (quantum) gravitational dynamics;International Journal of Modern Physics D;2023-09-20

2. Running vacuum in QFT in FLRW spacetime: the dynamics of $$\rho _{\textrm{vac}}(H)$$ from the quantized matter fields;The European Physical Journal C;2023-07-19

3. On the cosmological constant as a quantum operator;International Journal of Geometric Methods in Modern Physics;2022-11-29

4. Information content and minimum-length metric: A drop of light;General Relativity and Gravitation;2022-07

5. Hyperbolic space in the Newtonian limit: The cosmological constant;International Journal of Modern Physics D;2022-06-04

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