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arXiv · 1002.3876

Comments on "On the Origin of Gravity and the Laws of Newton", by Erik Verlinde

Hristu Culetu
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Abstract

We argue that the relativistic Unruh temperature cannot be associated with the bits on the screen, in the form considered by Verlinde. The acceleration $a$ is a scalar quantity (the modulus of the acceleration four vecor) and not a vector. When the mass $m$ approaches the holographic screen, viewed as a stretched horizon, the shift $Δx$ from Verlinde's Eq. (3.15) becomes $c^{2}/a$ and the entropy variation equals $(1/2) k_{B} ΔN$, in accordance with Gao's calculations. Using the Heisenberg Principle we show that the energy on the causal horizon (viewed as a holographic screen) of an inertial observer is proportional to its radius, as for a black hole.

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Hristu Culetu. 2010-04-01. Comments on "On the Origin of Gravity and the Laws of Newton", by Erik Verlinde. https://arxiv.org/abs/1002.3876

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