Fractional and noncommutative spacetimes

M Arzano, G Calcagni, D Oriti, M Scalisi - Physical Review D—Particles, Fields …, 2011 - APS
… measures extends to the large class of realorder fractional measures, which are power-law …
between spacetimes based on fractional calculus and on noncommutative differential …

Deformed symmetries in noncommutative and multifractional spacetimes

G Calcagni, M Ronco - Physical Review D, 2017 - APS
… We feel that the relation between noncommutative spacetimes and multifractional … to describe,
in certain regimes, this noncommutative spacetime as a multifractional one and vice versa. …

Commutative or noncommutative spacetime? Two length scales of noncommutativity

RV Mendes - Physical Review D, 2019 - APS
Noncommutative spacetime manifolds and noncommutative geometry techniques appear …
, so that spacetime below the Planck scale has no operational meaning, leading to spacetime

Introduction to multifractional spacetimes

G Calcagni - AIP Conference Proceedings, 2012 - pubs.aip.org
… connection with noncommutative spacetimes, a physical clarification of κ-Minkowski spacetime
[4]… As in the fixed-dimension case, we analyze the fractional spacetime diffusion equation …

Quantum gravity, field theory and signatures of noncommutative spacetime

RJ Szabo - General Relativity and Gravitation, 2010 - Springer
… extent noncommutative gauge … spacetime of interest in string theory and in doubly special
relativity. We also discuss some potential experimental probes of spacetime noncommutativity. …

Quantum mechanics in fractional and other anomalous spacetimes

G Calcagni, G Nardelli, M Scalisi - Journal of mathematical physics, 2012 - pubs.aip.org
non-commutative spacetimes with non-linear algebras are of fractional type and link non-commutative
asymptotic safety 14 are reproduced via fractional multi-scale diffusion equations. …

Commutative or noncommutative spacetime? Two length scales of noncommutativity

R Vilela Mendes - Phys. Rev. D, 2019 - inspirehep.net
Noncommutative spacetime manifolds and noncommutative geometry techniques appear …
, so that spacetime below the Planck scale has no operational meaning, leading to spacetime

Fractional Lagrangian formulation of general relativity and emergence of complex, spinorial and noncommutative gravity

AR El-Nabulsi - International Journal of Geometric Methods in …, 2009 - World Scientific
… work the fractional Hamiltonian formulation of General Relativity (GR) (classical field theory
in curved spacetime). Results may be extrapolated to the multi-dimensional fractional action-…

Geometry of fractional spaces

G Calcagni - 2012 - projecteuclid.org
… is non-commutative geometry. In [43], we establish a connection between a certain class of
non-commutative geometries and fractional spacetimes… regime of multi-fractional geometry at …

[图书][B] In Search of the Riemann Zeros: Strings, fractal membranes and noncommutative spacetimes

ML Lapidus - 2008 - books.google.com
… Since the ring of integers, Zand hence, its field of fractions, Qis arguably the most basic and
fundamental object of all of mathematics, because it is the natural receptacle for elementary …