Abstract:
An attempt to epistemological completion of formal-math theories of relativity is presented. Causal interpretations of SR and GR are suggested. The problem to physical gist of gravity is explained as a contradiction of cognition vs. intuition. Gravity phenomena are represented as unexplored peculiarity of basic particles. The gravity constant is deduced from the known parameters of the electron.

Abstract:
Special Relativity Theory is more than 110 years
aged and during this period it was elaborated until minuscule details. However,
there might be some logically deduced discrepancies, which demand a scrupulous
study. Nonetheless, every search for inherent contradictions is an uphill task.
The author of the considered paper proposed a situation with two series of synchronized
clocks. Each series is at rest in its own frame of reference, but one of them
is deemed to be stationary and other is moving with a constant relative
velocity. The author believes this situation to be contradictable. But really,
the suitable mathematical analysis proves that it is none other than a
consequence of neglecting the basic tenets of the theory.

Abstract:
The low-dimensional model of the space-time is
considered where time is a real coordinate with dimensionality of length. The
inertia law appears within this model as a consequence of the geometrical
structure of the space.

Abstract:
We offer evidence that the Trans Plankian hypothesis about Dark energy is incompatible with necessary and sufficient conditions for solving the cosmic ray problem along the lines presented by Magueijo et al. We can obtain conditions for a dispersion relationship congruent with the Trans Planckian hypothesis only if we cease trying to match cosmic ray data which is important in investigating Doubly Special Relativity. This leads us to conclude that the Trans Planckian hypothesis is inconsistent with respect to current astrophysical data when modeled by Doubly Special Relativity and needs to be seriously revised. Or the Doubly Special Relativity Hypothesis needs to be abandoned.

Abstract:
The free relativistic particle, by definition, has
to move in an inertial reference frame with uniform velocity less than the
speed of light. The corresponding movement of a material quantum particle
describes a wave packet, composed of matter waves—solutions
of the Schr?dinger equation. The maximum of packet, corresponding to the
largest probability to find the particle, has to move with the same uniform
velocity, defined by the initial condition. It has been shown that the
traditional definition of the quantum momentum operator i.e. taking it to correspond to the special relativity theory, relativistic momentum,cannot produce precise
description of a relativistic matter particle. Different definitions are
investigated and one that solves this issue is found. Obtained original
expression of relativistic kinetic energy operator creates new possibilities
for relativistic quantum systems theory.

Abstract:
the purpose is to introduce in a clear and direct way the students of undergraduate courses in physics and/or astronomy to the subject of radiative transfer. a pedagogical revision is made in order to obtain the radiative transfer equation, its restrictions and the different types of interactions present between the radiation and the matter. because in the classical literature about radiative transfer the covariance is not fully developed, we show in an explicit manner detail calculations and then we discuss the relativistic effects

Abstract:
An alternative theory being analogous to Einstein’s special theory of relativity is presented. While Einstein based his theory on the relativity principle of motion and constancy of the velocity of light, this theory assumes an absolute frame of reference and ageneral length contraction. Both concepts are taken from general relativity and applied to an asymptotically at space. This results in a transformation group being different from the Lorentz transformation and a Euclidean addition theorem of velocities. The results are in accordance with experiments and long known discrepancies betweenspecial relativity and experimental ndings are resolved as well as paradoxa being introduced by Einstein’s original theory. Physical facts being unintelligible before can be interpreted in the light of the alternative theory.

Abstract:
The argument of twins' asymmetry, essentially put forward in the common solution of the Twin Paradox, is revealed to be inoperative in some asymptotic situations in which the noninertial effects are insignificant. Consequently the respective solution proves itself as unreliable thing and the Twin Paradox is re-established as an open problem which require further investigations.

Abstract:
The re-identification of the many-world background of the special theory of relativity (SR) as four-world background in the first part of this paper (instead of two-wold background isolated in the initial papers), is concluded in this second part. The flat two-dimensional intrinsic spacetime, which underlies the flat four-dimensional spacetime in each universe, introduced as ansatz in the initial paper, is derived formally within the four-world picture. The identical magnitudes of masses, identical sizes and identical shapes of the four members of every quartet of symmetry-partner particles or objects in the four universes are shown. The immutability of Lorentz invariance on flat spacetime of SR in each of the four universes is shown to arise as a consequence of the perfect symmetry of relative motion at all times among the four members of every quartet of symmetry-partner particles and objects in the four universes. The perfect symmetry of relative motions at all times, coupled with the identical magnitudes of masses, identical sizes and identical shapes, of the members of every quartet of symmetry-partner particles and objects in the four universes, guarantee perfect symmetry of state among the universes.

Abstract:
The pair of co-existing symmetrical universes, referred to as our (or positive) universe and negative universe, isolated and shown to constitute a two-world background for the special theory of relativity (SR) in previous papers, encompasses another pair of symmetrical universes, referred to as positive time-universe and negative time-universe. The Euclidean 3-spaces (in the context of SR) of the positive time-universe and the negative time-universe constitute the time dimensions of our (or positive) universe and the negative universe respectively, relative to observers in the Euclidean 3-spaces of our universe and the negative universe and the Euclidean 3-spaces of our universe and the negative universe constitute the time dimensions of the positive time-universe and the negative time-universe respectively, relative to observers in the Euclidean 3-spaces of the positive time-universe and the negative time-universe. Thus time is a secondary concept derived from the concept of space according to this paper. The one-dimensional particle or object in time dimension to every three-dimensional particle or object in 3-space in our universe is a three-dimensional particle or object in 3-space in the positive time-universe. Perfect symmetry of natural laws is established among the resulting four universes and two outstanding issues about the new spacetime/intrinsic spacetime geometrical representation of Lorentz transformation/intrinsic Lorentz transformation in the two-world picture, developed in the previous papers, are resolved within the larger four-world picture in this first part of this paper.