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 (5)

• Thermodynamics of Spacetime: The Einstein Equation of State
• Equipartition of energy in the horizon degrees of freedom and the emergence of gravity
• Friedmann Equations from Entropic Force
• Quantum UV/IR Relations and Holographic Dark Energy from Entropic Force
• Glimmers of a pre-geometric perspective

Cited by in corpus (13)

• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Cosmological Constraints on the Modified Entropic Force Model
• (1+1)-Dimensional Entropic Gravity
• Constraining Entropic Cosmology
• Does Entropic Gravity Bound the Masses of the Photon and Graviton?
• On gravity as an entropic force
• Noncommutative Geometry Inspired Entropic Inflation
• Cosmological Constraints on Entropic Cosmology with Matter Creation
• Quantization of Black Holes
• On entropic gravity: the entropy postulate, entropy content of screens and relation to quantum mechanics
• Quantized Black Hole and Heun function
• f(R) Gravity and Maxwell Equations from the Holographic Principle
• Gravitational thermodynamics and universal holographic duality in dynamical spacetimes