Publications (67)
Metrics with zero and almost-zero Einstein action in quantum gravity
G. Modanese
We generate numerically on a lattice an ensemble of stationary metrics, with spherical symmetry, which have Einstein action . This is obtained through a Metropolis a…
High-frequency electromagnetic emission from non-local wavefunctions
G. Modanese
In systems with non-local potentials or other kinds of non-locality, the Landauer-Büttiker formula of quantum transport leads to replace the usual gauge-invariant current density…
Statistics of non-conserved observables in Lindblad master equations
G. Modanese
We study the dynamics of observables that are conserved under the Hamiltonian evolution of a closed quantum system, but cease to be conserved when the system is coupled to a Markov…
Oscillating dipole with fractional quantum source in Aharonov-Bohm electrodynamics
G. Modanese
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 non-t…
Vacuum correlations at geodesic distance in quantum gravity
G. Modanese
The vacuum correlations of the gravitational field are highly non-trivial to be defined and computed, as soon as their arguments and indices do not belong to a background but becom…
Time in quantum mechanics and the local non-conservation of the probability current
G. Modanese
In relativistic quantum field theory with local interactions, charge is locally conserved. This implies local conservation of probability for the Dirac and Klein-Gordon wavefunctio…
Diffusion on assortative networks: from mean-field to agent-based, via Newman rewiring
L. Di Lucchio, G. Modanese
In mathematical models of epidemic diffusion on networks based upon systems of differential equations, it is convenient to use the Heterogeneous Mean Field approximation (HMF) beca…
Spectral Analysis of Proton Eigenfunctions in Crystalline Environments
L. Gamberale, G. Modanese
The Schrödinger equation and Bloch theorem are applied to examine a system of protons confined within a periodic potential, accounting for deviations from ideal harmonic behavior…
The London field in bulk layered superconductors
G. Modanese
In a composite superconductor in uniform rotation, the London field strength at equilibrium is given by the usual expression B_L = 2m Omega/e; here m corresponds to the bare electr…
Local contribution of a quantum condensate to the vacuum energy density
G. Modanese
We evaluate the local contribution g_[mu nu]L of coherent matter with lagrangian density L to the vacuum energy density. Focusing on the case of superconductors obeying the Ginzbur…
Theoretical analysis of a reported weak gravitational shielding effect
G. Modanese
Under special conditions (Meissner-effect levitation in a high frequency magnetic field and rapid rotation) a disk of high- superconducting material has recently been found to…
Tunneling of a Massless Field through a 3D Gaussian Barrier
G. Modanese
We propose a method for the approximate computation of the Green function of a scalar massless field Phi subjected to potential barriers of given size and shape in spacetime. This…
Do we need an alternative to local gauge coupling to electromagnetic fields?
F. Minotti, G. Modanese
The local gauge coupling through the recipe , that works so well with Dirac spinors in QED and in the gauge theories of the Standard Model…
Numerical Simulations Unveil Superradiant Coherence in a Lattice of Charged Quantum Oscillators
L. Gamberale, G. Modanese
A system of charged oscillators interacting with the electromagnetic field, spatially confined in a 3D lattice of sub-wavelength dimension, can condense into a superrad…
Electromagnetic coupling of strongly non-local quantum mechanics
G. Modanese
Although standard quantum mechanics has some non-local features, the probability current of the Schrödinger equation is locally conserved, and this allows minimal electromagnetic…
Gravitational Anomalies by HTC Superconductors: a 1999 Theoretical Status Report
G. Modanese
In this report we summarize in an informal way the main advances made in the last 3 years and give a unified scheme of our theoretical work. This scheme aims at connecting in a con…
Virtual dipoles and large fluctuations in quantum gravity
G. Modanese
The positive energy theorem precludes the possibility of Minkowski flat space decaying by any mechanism. In certain circumstances, however, large quantum fluctuations of the gravit…
Generation of scale-free assortative networks via Newman rewiring for simulation of diffusion phenomena
L. Di Lucchio, G. Modanese
By collecting and expanding several numerical recipes developed in previous work, we implement an object-oriented Python code, based on the networkX library, for the realization of…
Conditions for stimulated emission in anomalous gravity-superconductors interactions
G. Modanese, T. Junker
Several authors have studied the generation of gravitational fields by condensed-matter systems in non-extreme density conditions. General Relativity and lowest-order perturbative…
Stochastic Effects in a Discretized Kinetic Model of Economic Exchange
M. L. Bertotti, A. K. Chattopadhyay, G. Modanese
Linear stochastic models and discretized kinetic theory are two complementary analytical techniques used for the investigation of complex systems of economic interactions. The form…
The Bass diffusion model on networks with correlations and inhomogeneous advertising
M. L. Bertotti, J. Brunner, G. Modanese
The Bass model, which is an effective forecasting tool for innovation diffusion based on large collections of empirical data, assumes an homogeneous diffusion process. We introduce…
Ultra-light and strong: the massless harmonic oscillator and its singular path integral
G. Modanese
In classical mechanics, a light particle bound by a strong elastic force just oscillates at high frequency in the region allowed by its initial position and velocity. In quantum me…
Effect of a scale-dependent cosmological term on the motion of small test particles in a Schwarzschild background
G. Modanese
It was recently suggested that the gravitational action could contain a scale-dependent cosmological term, depending on the length or momentum scale characteristic of the processes…
Zero-point field induced mass vs. QED mass renormalization
G. Modanese
Haisch and Rueda have recently proposed a model in which the inertia of charged particles is a consequence of their interaction with the electromagnetic zero-point field. This mode…
Gauge waves generation and detection in Aharonov-Bohm electrodynamics
F. Minotti, G. Modanese
The extended Aharonov-Bohm electrodynamics has a simple formal structure and allows to couple the e.m. field also to currents which are not locally conserved, like those resulting…
The Bass diffusion model on finite Barabasi-Albert networks
M. L. Bertotti, G. Modanese
Using a mean-field network formulation of the Bass innovation diffusion model and exact results by Fotouhi and Rabbat on the degree correlations of Barabasi-Albert networks, we com…
Beyond minimal coupling for charged scalars? Modified electrodynamics and London-penetration tests
F. Minotti, G. Modanese
We discuss an effective modification of the electromagnetic coupling for charged scalar condensates. The motivation is not an inconsistency of standard scalar QED, but a semiclassi…
Quantum collapse, local conservation of charge, and possible experimental consequences
F. Minotti, G. Modanese
We investigate the possibility that idealized quantum state-reduction processes may produce a local violation of charge conservation. If this occurs, the corresponding electromagne…
Effective Observer-Split Source Terms in Rotating Frames and Gravitomagnetic Backgrounds in Extended Aharonov-Bohm Electrodynamics
A. Iadicicco, G. Modanese, L. Verolino
We examine whether rotating frames and stationary gravitomagnetic backgrounds can provide a meaningful link to extended Aharonov-Bohm electrodynamics without invoking microscopic c…
Network rewiring in the - plane
M. L. Bertotti, G. Modanese
We generate correlated scale-free networks in the configuration model through a new rewiring algorithm which allows to tune the Newman assortativity coefficient and the average…
The dipolar zero-modes of Einstein action: An informal summary with some new issues
G. Modanese
We recall the main features of metric vacuum fluctuations which have the global property int d^4x sqrt{g(x)} R(x) = 0, even though R(x) does not vanish locally. We stress that thes…
Microscopic models for the study of taxpayer audit effects
M. L. Bertotti, G. Modanese
A microscopic dynamic model is here constructed and analyzed, describing the evolution of the income distribution in the presence of taxation and redistribution in a society in whi…
Quantum-only metrics in spherically symmetric gravity
G. Modanese
The Einstein action for the gravitational field has some properties which make of it, after quantization, a rare prototype of systems with quantum configurations that do not have a…
The configuration model for Barabasi-Albert networks
M. L. Bertotti, G. Modanese
We develop and test a rewiring method (originally proposed by Newman) which allows to build random networks having pre-assigned degree distribution and two-point correlations. For…
Innovation diffusion equations on correlated scale-free networks
M. L. Bertotti, J. Brunner, G. Modanese
We introduce a heterogeneous network structure into the Bass diffusion model, in order to study the diffusion times of innovation or information in networks with a scale-free struc…
Evolution of the IGG concept at IGF from 2004 to 2007
G. Modanese
IGG is the acronym for Impulse Gravity Generator, a device developed by E. Podkletnov in 1997-2003 for generating high-voltage discharges through YBCO electrodes. According to Podk…
Covariant formulation of Aharonov-Bohm electrodynamics and its application to coherent tunnelling
G. Modanese
The extended electrodynamic theory introduced by Aharonov and Bohm (after an earlier attempt by Ohmura) and recently developed by Van Vlaenderen and Waser, Hively and Giakos, can b…
Quantum metrics with very low action in gravity
G. Modanese
We have run numerical simulations of Euclidean lattice quantum gravity for metrics which are time-independent and spherically symmetric. The radial variable is discretized as $r=hL…
Common Origin of Power-law Tails in Income Distributions and Relativistic Gases
G. Modanese
Power-law tails are ubiquitous in income distributions and in the energy distributions of diluted relativistic gases. We analyze the conceptual link between these two cases. In eco…
A new theory of tensor-scalar gravity coupled to Aharonov-Bohm electrodynamics
F. Minotti, G. Modanese
Tensor-scalar theories of gravitation are commonly employed as extensions of General Relativity that allow to describe a much wider phenomenology. They are also naturally generated…
Design of a test for the electromagnetic coupling of non-local wavefunctions
G. Modanese
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, the…
General properties of the decay amplitudes for massless particles
G. Fiore, G. Modanese
We derive the kinematical constraints which characterize the decay of any massless particle in flat spacetime. We show that in perturbation theory the decay probabilities of photon…
Excited states of coherent harmonic qubits with long-range photon coupling and dissipation
L. Gamberale, G. Modanese
It is known that ensembles of interacting oscillators or qubits can exhibit the phenomenon of quantum synchronization. In this work we consider a set of identical two-state sys…
The Paradox of Virtual Dipoles in the Einstein Action
G. Modanese
The functional integral of pure Einstein 4D quantum gravity admits abnormally large and long-lasting "dipolar fluctuations", generated by virtual sources with the property Int d^4x…
Mathematical models describing the effects of different tax evasion behaviors
M. L. Bertotti, G. Modanese
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…
Generalized local charge conservation in many-body quantum mechanics
F. Minotti, G. Modanese
In the framework of the quantum theory of many-particle systems, we study the compatibility of approximated Non-Equilibrium Green Functions (NEGFs) and of approximated solutions of…
Simple circuit and experimental proposal for the detection of gauge-waves
F. Minotti, G. Modanese
Aharonov-Bohm electrodynamics predicts the existence of traveling waves of pure potentials, with zero electromagnetic fields, denoted as gauge waves, or g-waves for short. In gener…
Stability Issues in Euclidean Quantum Gravity
G. Modanese
It is known that the action of Euclidean Einstein gravity is not bounded from below and that the metric of flat space does not correspond to a minimum of the action. Nevertheless,…
Gravitational radiation of a vibrating physical string as a model for the gravitational emission of an astrophysical plasma
R. A. Lewis, G. Modanese
The vibrating string is a source of gravitational waves which requires novel computational techniques, based on the explicit construction of a conserved and renormalized (in a clas…
Quantum uncertainty and energy flux in extended electrodynamics
F. Minotti, G. Modanese
In quantum theory, for a system with macroscopic wavefunction, the charge density and current density are represented by non-commuting operators. It follows that the anomaly $I=\pa…
The radial gauge propagators in quantum gravity
P. Menotti, G. Modanese, D. Seminara
We give a general procedure for extracting the propagators in gauge theories in presence of a sharp gauge fixing and we apply it to derive the propagators in quantum gravity in the…
Functional integral transition elements of a massless oscillator
G. Modanese
The massless harmonic oscillator is a rare example of a system whose Feynman path integral can be explicitly computed and receives its main contributions from regions of the functi…
Updating the theoretical analysis of the weak gravitational shielding experiment
G. Modanese
The most recent data about the weak gravitational shielding produced recently through a levitating and rotating HTC superconducting disk show a very weak dependence of the shieldin…
Are current discontinuities in molecular devices experimentally observable?
F. Minotti, G. Modanese
An ongoing debate in the first-principles description of conduction in molecular devices concerns the correct definition of current in the presence of non-local potentials. If the…
Diagonal degree correlations vs. epidemic threshold in scale-free networks
M. L. Bertotti, G. Modanese
We prove that the presence of a diagonal assortative degree correlation, even if small, has the effect of dramatically lowering the epidemic threshold of large scale-free networks.…
Fluctuations in Aharonov-Bohm Electrodynamics
F. Minotti, G. Modanese
We consider the application of the Fluctuation Dissipation Theorem (FDT) to the electrodynamics of Aharonov-Bohm (ABE), which differs from Maxwell's in that it allows for local non…
General Estimate for the Graviton Lifetime
G. Modanese
By means of general kinematical arguments, the lifetime of a graviton of energy for decay into gravitons is found to have the form $Ï^{-1} = \frac{1}{EG} \sum_{j=1,2,...}…
Possible quantum gravity effects in a charged Bose condensate under variable e.m. field
G. Modanese, J. Schnurer
In the weak field approximation to quantum gravity, a "local" positive cosmological term mu^2(x) corresponds to a local negative squared mass term in the Lagrangian and may thus in…
Role of a "Local" Cosmological Constant in Euclidean Quantum Gravity
G. Modanese
In 4D non-perturbative Regge calculus a positive value of the effective cosmological constant characterizes the collapsed phase of the system. If a local term of the form $S'=\sum_…
Large "Dipolar" Vacuum Fluctuations in Quantum Gravity
G. Modanese
We study a novel set of gravitational field configurations, called "dipolar zero modes", which give an exactly null contribution to the Einstein action and are thus candidates to b…
The Bass diffusion model: agent-based implementation on arbitrary networks
L. Di Lucchio, G. Modanese
We show how the combined use of the free software packages networkX and NetLogo allows to implement quickly and with large flexibility agent-based network simulations of the classi…
Generalized Maxwell equations and charge conservation censorship
G. Modanese
The Aharonov-Bohm electrodynamics is a generalization of Maxwell theory with reduced gauge invariance. It allows to couple the electromagnetic field to a charge which is not locall…
Scalar-tensor gravity and Aharonov-Bohm electrodynamics with bosons: applications to superconductors
F. Minotti, G. Modanese
We study a scalar-tensor extension of gravity with two scalar fields coupled to the Aharonov-Bohm extension of electrodynamics, where the scalar mode is dy…
A Structural Link Between the Bohm Quantum Potential and the Scalar Mode of Aharonov-Bohm Electrodynamics in a Bosonic Schrödinger Model
R. Pullano, G. Modanese
We discuss a formal and physical connection between the Bohm quantum potential and the scalar mode of the Aharonov-Bohm extension of electrodynamics. The analysis is motivated by t…
Coherent Plasma in a Lattice
L. Gamberale, G. Modanese
We present a fully second-quantized calculation showing the emergence of spontaneous coherent configurations of the electromagnetic field in interaction with charged bosons in a re…
Aharonov-Bohm electrodynamics in material media: a scalar e.m. field cannot cause dissipation in a medium
F. Minotti, G. Modanese
In the extension of Maxwell equations based on the Aharonov-Bohm Lagrangian the e.m. field has an additional degree of freedom, namely a scalar field generated by charge and curren…
Comparison of metrics from retarded integrals and transverse traceless subgauge
R. A. Lewis, G. Modanese
The time-varying gravitational field produced by a Weber bar is used to explore mathematical features of the linearized Einstein equation. We present a self-contained formal framew…