On the Origin of Gravity and the Laws of Newton

On the Origin of Gravity and the Laws of Newton

6 Jan 2010 | Erik Verlinde
Erik Verlinde's paper explores the origin of gravity and Newton's laws of motion from first principles, assuming that space emerges through a holographic scenario. Gravity is explained as an entropic force resulting from changes in the information associated with the positions of material bodies. The paper argues that the holographic principle, which states that the information on a boundary holographically represents the bulk, is crucial for understanding gravity. By assuming that the information associated with a part of space obeys the holographic principle, Verlinde derives Newton's laws of gravitation and inertia. The key assumption is that the number of degrees of freedom associated with a spatial volume is finite and proportional to the area of the boundary, leading to a temperature and an entropic force. This force is proportional to the temperature and the change in entropy due to the displacement of matter, which results in Newton's law of gravity. The paper also discusses the relativistic generalization of these arguments, leading to the Einstein equations. The equivalence principle is used to show that the law of inertia is also an entropic phenomenon. The paper concludes that gravity and inertia are emergent phenomena, and that the laws of Newton are naturally derived from these principles.Erik Verlinde's paper explores the origin of gravity and Newton's laws of motion from first principles, assuming that space emerges through a holographic scenario. Gravity is explained as an entropic force resulting from changes in the information associated with the positions of material bodies. The paper argues that the holographic principle, which states that the information on a boundary holographically represents the bulk, is crucial for understanding gravity. By assuming that the information associated with a part of space obeys the holographic principle, Verlinde derives Newton's laws of gravitation and inertia. The key assumption is that the number of degrees of freedom associated with a spatial volume is finite and proportional to the area of the boundary, leading to a temperature and an entropic force. This force is proportional to the temperature and the change in entropy due to the displacement of matter, which results in Newton's law of gravity. The paper also discusses the relativistic generalization of these arguments, leading to the Einstein equations. The equivalence principle is used to show that the law of inertia is also an entropic phenomenon. The paper concludes that gravity and inertia are emergent phenomena, and that the laws of Newton are naturally derived from these principles.
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