Emergence of Cosmic Space and Minimal Length in Quantum Gravity

Abstract

An emergence of cosmic space has been suggested by Padmanabhan in [arXiv:1206.4916]. This new interesting approach argues that the expansion of the universe is due to the difference between the number of degrees of freedom on a holographic surface and the one in the emerged bulk. In this paper, we derive, using emergence of cosmic space framework, the general dynamical equation of FRW universe filled with a perfect fluid by considering a generic form of the entropy as a function of area. Our derivation is considered as a generalization of emergence of cosmic space with a general form of entropy. We apply our equation with higher dimensional spacetime and derive modified Friedmann equation in Gauss-Bonnet gravity. We then apply our derived equation with the corrected entropy-area law that follows from Generalized Uncertainty Principle (GUP) and derive a modified Friedmann equations due to the GUP. We then derive the modified Raychaudhuri equation due to GUP in emergence of cosmic space framework and investigate it using fixed point method. Studying this modified Raychaudhuri equation leads to non-singular solutions which may resolve singularities in FRW universe.

10 pages, revtex4, 1 figure, to match published version in PLB

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• Emergence and Expansion of Cosmic Space in BIonic system
• Generalized thermodynamic constraints on holographic-principle-based cosmological scenarios
• Emergence and oscillation of cosmic space by joining M1-branes
• Entropy Maximization in the Emergent Gravity Paradigm
• Emergence and expansion of cosmic space as due to M0-branes
• Emergence of fractal cosmic space from fractional quantum gravity
• Tsallis uncertainty
• The birth of the universe in a new G-Theory approach
• The laws of thermodynamics and information for emergent cosmology
• Cosmological expansion and contraction from Pauli exclusion principle in $M0$-branes
• Emergence and expansion of cosmic space in an accelerating BIon
• Holographic Cosmology from a System of M2-M5 Branes
• Holographic Cosmology from BIonic Solutions
• Cosmological scenario based on the particle creation and holographic equipartition