We examine the nonlinear structure of gravitationally collapsed objects that form in our
simulations of wavelike cold dark matter, described by the Schrödinger-Poisson (SP) …

The history of renormalization is reviewed with a critical eye, starting with Lorentz's theory of
radiation damping, through perturbative QED with Dyson, Gell-Mann and Low, and others, to …

This is a review on the brief history of the scalar field dark matter model also known as fuzzy
dark matter, BEC dark matter, wave dark matter, or ultra-light axion. In this model ultra-light …

The vacuum is filled with complex scalar fields, such as the Higgs field. These fields serve as
order parameters for superfluidity (quantum phase coherence over macroscopic distances) …

Different efficient and accurate numerical methods have recently been proposed and
analyzed for the nonlinear Klein-Gordon equation (NKGE) with a dimensionless parameter …

We investigate superfluidity, and the mechanism for creation of quantized vortices, in the
relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved …

Gravitomagnetic equations result from applying quaternionic differential operators to the
energy–momentum tensor. These equations are similar to the Maxwell's EM equations. Both …

Ghost Dirac's fermions are a manifestation of virtual particles. One fermion is the particle
whose companion is the antiparticle. An ensemble of these fermions coupled in pairs …

We consider numerics/asymptotics for the rotating nonlinear Klein--Gordon (RKG) equation,
an important PDE in relativistic quantum physics that can model a rotating galaxy in …

In this paper, we introduce the Dirac equation and the hole theory of antiparticle generation,
and the history of antiparticle discover. We study of the physical properties of the …