Covariant Loop Quantum Gravity: An Elementary Introduction to Quantum Gravity and Spinfoam Theory (Cambridge Monographs on Mathematical Physics) by Carlo Rovelli & Francesca Vidotto

Author:Carlo Rovelli & Francesca Vidotto [Rovelli, Carlo]
Language: eng
Format: epub
Publisher: Cambridge University Press
Published: 2014-10-31T07:00:00+00:00

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Consider an observer in a world where there is a minimal size ℓ determined by the Planck scale and a cosmological constant that determines a large distance scale L. In a maximally symmetric geometry, the observer in this world cannot see farther than the scale L = 1/(2Λ). In the euclidean context, this is because the universe is a sphere; in the lorentzian context, because of the cosmological horizon. Now consider the angle ϕ under which such an observer sees an object. To make this angle smaller, we should either move the object farther away, or make it smaller. But there is a limitation in the smallness of the size of the object, given by ℓ, as well as a limitation in the distance, given by L. Therefore the minimal angle under which an object is seen (Figure 6.6) is

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