A No-go Theorem Prohibiting Inflation in the Entropic Force Scenario

Abstract

We show that to accommodate inflation in the entropic force scenario of Verlinde, it is necessary to introduce a negative temperature on a holographic screen, this will introduce several puzzles such as energy non-conservation. If one tries to modify the derivation of the Einstein equations to avoid a negative temperature, we prove that it is impossible to find a proper new definition of temperature to derive the Einstein equations.

8 pages, references added

References in corpus (1)

• Friedmann Equations from Entropic Force

Cited by in corpus (6)

• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Cosmological Constraints on the Modified Entropic Force Model
• Constraining Entropic Cosmology
• Noncommutative Geometry Inspired Entropic Inflation
• Cosmological Constraints on Entropic Cosmology with Matter Creation
• f(R) Gravity and Maxwell Equations from the Holographic Principle