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Oscillating dipole with fractional quantum source in AharonovBohm electrodynamics
(2017)We show, in the case of a special dipolar source, that electromagnetic fields in fractional quantum mechanics have an unexpected space dependence: propagating fields may have nontransverse components, and the distinction ... 
Design of a test for the electromagnetic coupling of nonlocal wavefunctions
(2019)It has recently been proven that certain effective wavefunctions in fractional quantum mechanics and condensed matter do not have a locally conserved current; as a consequence, their coupling to the electromagnetic field ... 
Statistics of binary exchange of energy or money
(2017)Why does the MaxwellBoltzmann energy distribution for an ideal classical gas have an exponentially thin tail at high energies, while the Kaniadakis distribution for a relativistic gas has a powerlaw fat tail? We argue ... 
Functional Integral Transition Elements of a Massless Oscillator
(2016)For any dynamical system, the functional average ((q  qdass)2),or "Feynman transition element", gives a measure of the amplitude ofquantum fluctuations with respect to the classical path. This is usuallyof order h or ... 
Uncertainty dynamics in a model of economic inequality
(2018)In this article, we consider a stylized dynamic model to describe the economics of a population, expressed by a Langevintype kinetic equation. The dynamics is de ned by a combination of terms, one of which represents ... 
Statistics of correlations and fluctuations in a stochastic model of wealth exchange
(2018)In our recently proposed stochastic version of discretized kinetic theory, the exchange of wealth in a society is modelled through a large system of Langevin equations. The deterministic part of the equations is based on ... 
Mathematical models describing the effects of different tax evasion behaviors
(2017)Microscopic models describing a whole of economic interactions in a closed society are considered. The presence of a tax system combined with a redistribution process is taken into account, as well as the occurrence of tax ... 
Time in quantum mechanics and the local nonconservation of the probability current
(2018)In relativistic quantum field theory with local interactions, charge is locally conserved. This implies local conservation of probability for the Dirac and Klein–Gordon wavefunctions, as special cases; and in turn for ... 
Generalized Maxwell equations and charge conservation censorship
(2017)The AharonovBohm electrodynamics is a generalization of Maxwell theory with reduced gauge invariance. It allows to couple the electromagnetic field to a charge which is not locally conserved, and has an additional degree ... 
GravitySuperconductors Interactions as a Possible Means to Exchange Momentum with the Vacuum
(2014)We report on work in progress in quantum field theory about possible interactionsbetween coherent matter, i.e. matter described by a macroscopic wave function or a classical field, and a certain class of vacuum fluctuations, ...