We investigate a kinematic scaling relation between the baryonic mass and flat velocity dispersion, i.e. mass-velocity dispersion (MVDR), from brightest cluster galaxies (BCGs) to galaxy clusters. In our studies, of BCGs is mainly estimated by photometry. The profiles are explored with integrated field unit (IFU) Mapping Nearby Galaxies at Apache Point Observatory (MaNGA). For first time, we re...

a theory is presented for the dispersion relations of the nonlinear phonon-polaritons arising when phonons are coupled to the electromagnetic waves in multilayered structures of nonlinear materials. the calculations are applied to a multilayered structure consisting of a thin film surrounded by semi-infinite bounding media where each layer may have a frequency dependent dielectric function and ...

Bose-Einstein condensation (BEC) in two dimensions (2D) (e.g., to describe the quasi-2D cuprates) is suggested as the possible mechanism widely believed to underlie superconductivity in general. A crucial role is played by nonzero center-of-mass momentum Cooper pairs (CPs) usually neglected in BCS theory. Also vital is the unique linear dispersion relation appropriate to weakly-coupled “bosonic...

Plane waves in noncommutative classical electrodynamics (NCED) have a peculiar dispersion relation. We investigate the kinematical conditions on this deformed ”mass shell” which come from ultra high energy gamma rays and discuss noncommutative dynamical effects on the gamma absorption by the infrared background and on the intrinsic spectrum. Finally we note that in NCED there is a strong correl...

The use of Cepheids as distance indicators on Galactic and extragalactic distance scales is based upon the Cepheid period luminosity (PL) and period luminosity colour (PLC) relations. These relations are usually derived in terms of the properties of Cepheids at mean light – i.e. averaged over their pulsation cycle. In this paper, we derive a physical argument for the existence of PL and PLC rel...

Appendix A: Properties of EDS grids In this appendix, we characterize the dispersion of points, the number of points, and the degree of uniformity of the constructed EDS. Also, we discuss the relation of our results to recent mathematical literature. A.1 Dispersion of points in EDS grids We borrow the notion of dispersion from the literature on quasi-Monte Carlo optimization methods; see, for e...