An introductory review to emergent noncommutative gravity within Yang–Mills matrix models
is presented. Spacetime is described as a noncommutative brane solution of the matrix …

A bstract We study perturbations of 4-dimensional fuzzy spheres as backgrounds in the IKKT
or IIB matrix model. Gauge fields and metric fluctuations are identified among the excitation …

A bstract We discuss a (3+ 1)-dimensional covariant quantum space-time describing a
FLRW cosmology with Big Bounce, obtained by a projection of the fuzzy hyperboloid H 4 n …

Beginning with a systematic review of the standard exposition of string theory, which is
required for a proper understanding of matrix models of string theory, this book proceeds to …

We develop an axiomatic geometric approach and provide an unconventional review of
modified/nonlinear gravity theories, MGTs, with modified dispersion relations, MDRs …

New geometric and analytic methods for generating exact and parametric solutions in
generalized Einstein–Finsler like gravity theories and nonholonomic Ricci soliton models …

We present Lie-algebraic deformations of Minkowski space with undeformed Poincaré
algebra. These deformations interpolate between Snyder and κ-Minkowski space. We find …

We develop an axiomatic geometric approach and provide an unconventional review of
modified gravity theories, MGTs, with modified dispersion relations, MDRs, encoding Lorentz …

We review a novel and authentic way to quantize gravity. This novel approach is based on
the fact that Einstein gravity can be formulated in terms of a symplectic geometry rather than …

The emergence of cosmic space as cosmic time progresses is an exciting idea advanced by
Padmanabhan to explain the accelerated expansion of the universe. The generalization of …