



01431nas a2200133   4500008004100000245007400041210006900115260001500184520099900199100001701198700002601215700001901241856003701260       2019                        eng d00aHow Low Can Vacuum Energy Go When Your Fields Are Finite-Dimensional?0 aHow Low Can Vacuum Energy Go When Your Fields Are FiniteDimensio  c05/11/20193 a<p>According to the holographic bound, there is only a finite density of degrees of freedom in space when gravity is taken into account. Conventional quantum field theory does not conform to this bound, since in this framework, infinitely many degrees of freedom may be localized to any given region of space. In this essay, we explore the viewpoint that quantum field theory may emerge from an underlying theory that is locally finite-dimensional, and we construct a locally finite-dimensional version of a Klein-Gordon scalar field using generalized Clifford algebras. Demanding that the finite-dimensional field operators obey a suitable version of the canonical commutation relations makes this construction essentially unique. We then find that enforcing local finite dimensionality in a holographically consistent way leads to a huge suppression of the quantum contribution to vacuum energy, to the point that the theoretical prediction becomes plausibly consistent with observations.</p>1 aCao, ChunJun1 aChatwin-Davies, Aidan1 aSingh, Ashmeet  uhttps://arxiv.org/abs/1905.11199