From the emergence of cosmic space to horizon thermodynamics in Barrow entropy-based Cosmology
Giuseppe Gaetano Luciano
Abstract
Padmanabhan's paradigm states that the spatial expansion of our Universe can be understood as the consequence of the emergence of space with the progress of cosmic time. Based on this argument, here we extract the first Friedmann equation for a curved (n+1)-dimensional Friedmann-Robertson-Walker Universe and analyze the consistency of Padmanabhan's proposal with horizon entropy maximization in the framework of Barrow entropy. The latter is a one-parameter deformation of Bekenstein-Hawking entropy induced by quantum-gravitational effects. We show that the viability of Padmanabhan's paradigm and its relationship with horizon thermodynamics are well supported in Barrow model, providing preliminary indications on how the emergent gravity perspective should appear in a quantum gravity-like scenario.