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A series of old and recent theoretical observations suggests that the quantization of gravity would be feasible, and some problems of Quantum Field Theory would go away if, somehow, the spacetime would undergo a dimensional reduction at high energy scales.
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The Large Scale Structure of Space Time
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The Bogoliubov Renormalization Group
D. V. Shirkov · 1996
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The Small Scale Structure of Spacetime
S. Carlip · 2010
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P. P. Fiziev · 2010
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Non-perturbative Field Theory: From Two-dimensional Conformal Field Theory to QCD in Four Dimensions
Y. Frishman and J. Sonnenschein · 2010
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A dynamical inconsistency of hořava gravity
M. Henneaux, A. Kleinschmidt, and G. L. Gómez · 2010
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Lessons from the decoupling limit of hořava gravity
I. Kimpton and A. Padilla · 2010
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G. ’t Hooft · 1998
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The Bogoliubov Renormalization Group in Theoretical and Mathematical Physics
D. V. Shirkov · 1999
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Nonperturbative Lorentzian path integral for gravity
J. Ambjørn, J. Jurkiewicz, and R. Loll · 2000
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Renormalization group flow of quantum gravity in the Einstein-Hilbert truncation
M. Reuter and F. Saueressig · 2002
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Emergence of a 4D world from causal quantum gravity
J. Ambjørn, J. Jurkiewicz, and R. Loll · 2004
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Fixed points of quantum gravity
D. F. Litim · 2004
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Spectral dimension of a quantum universe
L. Modesto and P. Nicolini · 2010
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Strong coupling in extended horava-lifshitz gravity
A. Papazoglou and T. P. Sotiriou · 2010
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Coupling running through the looking-glass of dimensional reduction
D. V. Shirkov · 2010
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Projectable Hořava–lifshitz gravity in a nutshell
S. Weinfurtner, T. P. Sotiriou, and M. Visser · 2010
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G. Calcagni · 2011
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G. Calcagni · 2011
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P. P. Fiziev and D. V. Shirkov · 2011
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Un-spectral dimension and quantum spacetime phases
P. Nicolini and E. Spallucci · 2011
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Cycles of time: an extraordinary new view of the universe
R. Penrose · 2011
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Dream-land with Classic Higgs field, Dimensional Reduction and all that
D. V. Shirkov · 2011
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Hořava-lifshitz gravity: a status report
T. P. Sotiriou · 2011
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From dispersion relations to spectral dimension–and back again
T. P. Sotiriou, M. Visser, and S. Weinfurtner · 2011
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Spectral dimension as a probe of the ultraviolet continuum regime of causal dynamical triangulations
T. P. Sotiriou, M. Visser, and S. Weinfurtner · 2011
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Warped products of singular semi-Riemannian manifolds
O. C. Stoica · 2011
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Status of Hořava gravity: A personal perspective
M. Visser · 2011
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Stability of spin-0 graviton and strong coupling in horava-lifshitz theory of gravity
A. Wang and Q. Wu · 2011
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Vanishing dimensions and planar events at the LHC
L. Anchordoqui, D. C. Dai, M. Fairbairn, G. Landsberg, and D. Stojkovic · 2012
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On the geometrization of matter by exotic smoothness
H. Asselmeyer-Maluga, T.and Rosé · 2012
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Diffusion in multi-fractional spacetimes
G. Calcagni · 2012
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Geometry and field theory in multi-fractional spacetime
G. Calcagni · 2012
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P. P. Fiziev and D. V. Shirkov · 2012
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Analytic Reissner-Nordström singularity
O. C. Stoica · 2012
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Beyond the Friedmann-Lemaître-Robertson-Walker Big Bang singularity
O. C. Stoica · 2012
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O. C. Stoica · 2012
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Schwarzschild singularity is semi-regularizable
O. C. Stoica · 2012
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Multi-scale gravity and cosmology
G. Calcagni · 2013
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Quantum field theory with varying couplings
G. Calcagni and G. Nardelli · 2013
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Big Bang singularity in the Friedmann-Lemaître-Robertson-Walker spacetime
O. C. Stoica · 2013
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Kerr-Newman solutions with analytic singularity and no closed timelike curves
O. C. Stoica · 2013
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On the Weyl curvature hypothesis
O. C. Stoica · 2013
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O. C. Stoica · 2013
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What tells gravity on the shape and size of an electron
A. Burinskii · 2014
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Einstein equation at singularities
O. C. Stoica · 2014
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On singular semi-Riemannian manifolds
O. C. Stoica · 2014
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The Geometry of Black Hole Singularities
O. C. Stoica · 2014
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