A novel approach based on spatiotemporal differentialoperators is developed here for broadband, velocity-dependent scattering. Unlike the spectral-domain representations, the new method facilitates a compact formulation for scattering by arbitrary excitation signals, in the presence of moving objects. In free space (vacuum), relativistically exact formulas are developed. After developing the ge...

The “Mitra paradox” refers to the fact that while the de Sitter spacetime appears non-static in a freely falling reference frame, it looks static with reference to a fixed reference frame. The coordinate-independent nature of the paradox may be gauged from the fact that the relevant expansion scalar, θ = √ 3Λ, is finite if Λ > 0. The trivial resolution of the paradox would obviously be to set Λ...

The concept of rigid reference frame and of constricted spatial metric, given in the previous work [Clas. Quantum Grav. 21, 3067,(2004)] are here applied to some specific space-times: In particular, the rigid rotating disc with constant angular velocity in Minkowski space-time is analyzed, a new approach to the Ehrenfest paradox is given as well as a new explanation of the Sagnac effect. Finall...

In the literature, a uniformly accelerated reference frame is defined as a set of observers who remain at rest with respect to a given observer Alice who is accelerating at a constant rate with respect to the instantaneously comoving inertial frames. Two observers Alice and Bob are said to be at rest with respect to each other if the time elapses on the clock of Alice during the passage of a li...

It is considered the procedure of definition of the elements of length and time by means of photon. In order to define the element of length one needs an a priori given element of time. In order to define the element of time one needs an a priori given element of length. It is taken the laboratory time and length as a priori given time and length respectively. It is defined the elements of leng...

This paper presents an existence proof for symmetric modulating pulse solutions of a quasilinear wave equation. Modulating pulse solutions consist of a pulse-like envelope advancing in the laboratory frame and modulating an underlying wave-train; they are also referred to as ‘moving breathers’ since they are time-periodic in a moving frame of reference. The problem is formulated as an infinite-...

The effects of anisotropic transverse collective flow on the HBT correlation function is studied. There exist three different physics contributions related to flow which affect the correlation function: anisotropic source shape, anisotropic space-momentum correlations in pion emission, and the effects related to the HBT measurement of the size of a moving source in different reference frames. R...

An object-centric reference frame is a spatial representation in which objects or their parts are coded relative to others. The existence of object-centric representations is supported by the phenomenon of induced motion, in which the motion of an inducer frame in a particular direction induces motion in the opposite direction in a target dot. We report on an experiment made with an induced mot...