Unruh effect as foundation of universal gravitation within the cosmological scenario

Abstract

We aim to build a simple model of a gas with temperature ($T$) in thermal equilibrium with a black-body that plays the role of the adiabatically expanding universe, so that each particle of such a gas mimics a kind of "particle" (quantum) of dark energy, which is inside a very small area of space so-called Planck area ($l_p^2$), that is the minimum area of the whole space-time represented by a huge spherical surface with area $4\pi r_u^2$, $r_u$ being the Hubble radius. So we should realize that such spherical surface is the surface of the black-body for representing the universe, whose temperature ($T$) is related to an acceleration ($a$) of a proof particle that experiences the own black-body radiation according to the Unruh effect. Thus, by using this model, we derive the law of universal gravitation, which leads us to understand the anti-gravity in the cosmological scenario and also estimate the tiny order of magnitude of the cosmological constant in agreement with the observational data.

5 pages, 1 figure

References in corpus (8)

• Non-equilibrium Thermodynamics of Spacetime: the Role of Gravitational Dissipation
• Equivalence of modified gravity equation to the Clausius relation
• F(R) gravity equation of state
• Equilibrium thermodynamics in modified gravitational theories
• Measurement of Quantum Fluctuations in Geometry
• The Schrödinger-Newton equations beyond Newton
• Emergent Geometry from Quantized Spacetime
• Emergent gravitational dynamics in Bose-Einstein condensates

Cited by in corpus (1)

• Unruh-DeWitt detector in presence of multiple scalar fields : A Toy Model