Gravity from a Modified Commutator

Details Gravity from a Modified Commutator Gravity from a Modified Commutator

2005-05-11

arxiv.org/abs/hep-th/0505096v2

Int.J.Mod.Phys.D14:2239-2244,2005

Physics

High Energy Physics

High Energy Physics - Theory

8 pages; Honorable Mention in the 2005 Gravity Research Foundation Essay Competition; v2: acknowledgments added

Scientific paper

We show that a suitably chosen position-momentum commutator can elegantly describe many features of gravity, including the IR/UV correspondence and dimensional reduction (`holography'). Using the most simplistic example based on dimensional analysis of black holes, we construct a commutator which qualitatively exhibits these novel properties of gravity. Dimensional reduction occurs because the quanta size grow quickly with momenta, and thus cannot be "packed together" as densely as naively expected. We conjecture that a more precise form of this commutator should be able to quantitatively reproduce all of these features.

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