I provide a derivation of some characteristic effects of Milgrom's modified Newtonian
dynamics (MOND) from a fractional version of Newton's theory based on the fractional …

We study a class of perturbative scalar quantum field theories where dynamics is
characterized by Lorentz-invariant or Lorentz-breaking non-local operators of fractional …

Fractional Newtonian gravity, based on the fractional generalization of Poisson's equation
for Newtonian gravity, is a novel approach to Galactic dynamics aimed at providing an …

A bstract We introduce a classical fractional particle model in ℝ n, extending the Newtonian
particle concept with the incorporation of the fractional Laplacian. A comprehensive …

In this paper, we study the scalar (tensor) and vector unparticle corrections for cosmic and
black strings. Initially, we consider a static cosmic string ansatz from which we obtain the …

We construct a fractional Laplacian spinning particle model in an external electromagnetic
field that generalizes a standard relativistic spinning particle model without anti-commuting …

The decomposition methods such as Daftardar–Jafari method (DJM) have been applied
previously to obtain a solution of the fractional differential equations. In the present article …

We present the derivation of the Casimir-Polder interactions mediated by a massive photon
between two neutral systems described in terms of their atomic polarizability tensors. We …

A bstract In recent years, various aspects of theoretical models with long range interactions
have attracted attention, ranging from out-of-time-ordered correlators to entanglement. In the …

Using the recently developed notion of a fractional Virasoro algebra, we explore the implied
operator product expansions in nonlocal conformal field theories and their geometric …