On the origin of generalized uncertainty principle from compactified M5-brane
arXiv:1706.04639 · doi:10.1142/S0217732317501231
Abstract
In this paper, we demonstrate that compactification in M-theory can lead to a deformation of field theory consistent with the generalized uncertainty principle (GUP).We observe that the matter fields in the M3-brane action contain higher derivative terms. We demonstrate that such terms can also be constructed from a reformulation of the field theory by the GUP. In fact, we will construct the Heisenberg algebra consistent with this deformation, and explicitly demonstrate it to be the Heisenberg algebra obtained from the GUP. Thus, we use compactification in M-theory to motivate for the existence of the GUP.
arXiv comment5 pages, accepted by Mod. Phys. Lett. A
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