[HTML][HTML] Quantum-spacetime phenomenology
G Amelino-Camelia - Living Reviews in Relativity, 2013 - Springer
I review the current status of phenomenological programs inspired by quantum-spacetime
research. I stress in particular the significance of results establishing that certain data …
research. I stress in particular the significance of results establishing that certain data …
Multifractional theories: an updated review
G Calcagni - Modern Physics Letters A, 2021 - World Scientific
The status of multifractional theories is reviewed using comparative tables. Theoretical
foundations, classical matter and gravity dynamics, cosmology and experimental constraints …
foundations, classical matter and gravity dynamics, cosmology and experimental constraints …
Quantum einstein gravity
M Reuter, F Saueressig - New Journal of Physics, 2012 - iopscience.iop.org
We give a pedagogical introduction to the basic ideas and concepts of the Asymptotic Safety
program in quantum Einstein gravity. Using the continuum approach based upon the …
program in quantum Einstein gravity. Using the continuum approach based upon the …
Vector differential operators in a fractional dimensional space, on fractals, and in fractal continua
AS Balankin, B Mena - Chaos, Solitons & Fractals, 2023 - Elsevier
This paper is devoted to the development of local vector calculus in fractional-dimensional
spaces, on fractals, and in fractal continua. We conjecture that in the space of non-integer …
spaces, on fractals, and in fractal continua. We conjecture that in the space of non-integer …
Quantum gravity and gravitational-wave astronomy
G Calcagni - Handbook of gravitational wave astronomy, 2022 - Springer
We review the present status of quantum-gravity phenomenology in relation to gravitational
waves (GWs). The topic can be approached from two directions, a model-dependent one …
waves (GWs). The topic can be approached from two directions, a model-dependent one …
Geometry of fractional spaces
G Calcagni - 2012 - projecteuclid.org
We introduce fractional flat space, described by a continuous geometry with constant non-
integer Hausdorff and spectral dimensions. This is the analogue of Euclidean space, but …
integer Hausdorff and spectral dimensions. This is the analogue of Euclidean space, but …
Geometry and field theory in multi-fractional spacetime
G Calcagni - Journal of High Energy Physics, 2012 - Springer
A bstract We construct a theory of fields living on continuous geometries with fractional
Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski …
Hausdorff and spectral dimensions, focussing on a flat background analogous to Minkowski …
Fractal space-times under the microscope: A Renormalization Group view on Monte Carlo data
M Reuter, F Saueressig - Journal of High Energy Physics, 2011 - Springer
A bstract The emergence of fractal features in the microscopic structure of space-time is a
common theme in many approaches to quantum gravity. In this work we carry out a detailed …
common theme in many approaches to quantum gravity. In this work we carry out a detailed …
Anisotropic fractal media by vector calculus in non-integer dimensional space
VE Tarasov - Journal of Mathematical Physics, 2014 - pubs.aip.org
A review of different approaches to describe anisotropic fractal media is proposed. In this
paper, differentiation and integration non-integer dimensional and multi-fractional spaces …
paper, differentiation and integration non-integer dimensional and multi-fractional spaces …
phase diagram of quantum Einstein gravity and its spectral dimension
S Rechenberger, F Saueressig - … Review D—Particles, Fields, Gravitation, and …, 2012 - APS
Within the gravitational asymptotic safety program, the renormalization group (RG) flow of
the R 2 truncation in three and four spacetime dimensions is analyzed in detail. In particular …
the R 2 truncation in three and four spacetime dimensions is analyzed in detail. In particular …