Abstract
In this work, a clear connection is made between E. Verlinde’s recent theory of emergent gravity in de Sitter space [1], and the earlier work describing emergent gravity using holographic screens [2]. A modified (non)holographic screen scenario is presented, wherein the screen fails to encode an emergent mass in the bulk “unemerged” part of space for sufficiently large length-scales, where the volume-law of the non-holographic bulk degrees of freedom overtakes the area-law scaling of the entropy of the screen. Within this framework, we can describe both an emergent dark gravitational force, which scales like frac{1}{r} , and also a version of the baryonic Tully-Fisher relation. We therefore recast these results within an emergent gravity framework in which there is an explicit violation of holography for sufficiently large length-scales.
Highlights
And a version of the baryonic Tully-Fisher relation. We recast these results within an emergent gravity framework in which there is an explicit violation of holography for sufficiently large length-scales
The paper [1] has been criticised on the basis of apparent inconsistencies in terms of associating an effective elastic description to the response governed by the removal of a certain volume of the dark energy medium [21, 22]
A clear connection has been established between the earlier work [2] and the recent proposals [1], by implementing a breakdown of holography which is controlled by a critical length-scale via a straightforward modification to the earlier framework
Summary
In [1] a radical new explanation for the phenomena attributed to dark matter was offered in terms of emergent gravity in de Sitter space. This critical length-scale, all of the de Sitter entropy is removed by the mass M ; in this case there are only matter degrees of freedom in the bulk which are encoded in the degrees of freedom at the boundary This corresponds to what is called the Newtonian regime. The modification presented here is inspired by the arguments in [1], described, where the interplay between the entropy associated to the dark energy and the entropy which is removed by the addition of matter leads to a violation of the holographic encoding of bulk beyond the critical length-scale rc as in (2.9). The latter can be compared to the formula (2.5), so that the bits NΣ here play the same role as the dark energy in [1]
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