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"The challenge of finding a satisfactory theory of quantum
gravity has stimulated theoretical physics for many
decades. We expect that such a theory should make sense
of the quantum fluctuations of the space-time metric at
low-energy scales, while providing a quantum mechanical
completion of the system at short distances. Recently, a
new approach to this long-standing puzzle has been proposed
[1,2]. In this approach, gravity is treated using the
traditional path integral methods of quantum field theory,
but without assuming Lorentz invariance as a fundamental
symmetry at short distances. The gauge symmetries are
those space-time diffeomorphisms that preserve a preferred
foliation of space-time by fixed time slices ..."

However, the paper is inconclusive apparently not able to account for dark energy.

"They prevented the Einstein-Hilbert term and the cosmological
constant term from being generated ..."

Emergent gravity at a Lifshitz point from a Bose liquid on the lattice
Cenke Xu
Department of Physics, Harvard University, Cambridge, Massachusetts 02138, USA
Petr Hor?ava
Berkeley Center for Theoretical Physics, University of California, Berkeley, California 94720, USA,
Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, California 94720, USA,
and Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa 277-8568, Japan
(Received 28 March 2010; published 17 May 2010)

Phys Rev D May 15, 2010