Relation of Accelerations in Two Inertial Frames in Special Relativity Theory

In special relativity theory, we discover the relation of inertial frames’ accelerations. In this theory,we can understand general state of the relation of inertial frames’ accelerations

Transformation of 4-dimensional Rindler spacetime

In special relativity theory, we discover 4-dimensional transformation of general Rindler spacetimefrom 4-dimensional Lorentz transformation in inertial frames.

Dragging of inertial frames by matter and waves

In this paper, we review and analyze four specific general-relativistic problems in which gravitomagnetism plays an important role: the dragging of magnetic fields around rotating black holes, dragging inside a collapsing slowly rotating spherical shell of dust, compared with the dragging by rotating gravitational waves. We demonstrate how the quantum detection of inertial frame dragging can be accomplished by using the Unruh–DeWitt detectors. Finally, we shall briefly show how “instantaneous Machian gauges” can be useful in the cosmological perturbation theory.

Robustness of multipartite entangled states for fermionic systems under noisy channels in non-inertial frames

We investigate robustness of bipartite and tripartite entangled states for fermionic systems in non-inertial frames, which are under noisy channels. We consider two Bell states and two Greenberger-Horne-Zeilinger (GHZ) states, which possess initially the same amount of entanglement, respectively. By using genuine multipartite (GM) concurrence, we analytically derive the equations that determine the difference between the robustness of these locally unitarily equivalent states under the amplitude-damping channel. We find that tendency of the robustness for two GHZ states evaluated by using three-tangle τ and GM concurrence as measures of genuine tripartite entanglement is equal to each other. We also find that the robustness of two Bell states is equal to each other under the depolarizing, phase damping and bit flip channels, and that the same is true for two GHZ states.

Emission, propagation, and reflection of light as mechanical phenomena in inertial frames

The kinematics of balls with mass in the inertial frames is like that in the frame at absolute rest. Practical examples of balls with mass studied at the limit when their mass is zero indicate that the kinematics of massless balls is like that of balls with mass. Light as a wave or particle is a massless entity. Therefore, it is natural to apply the kinematics behavior of the massless balls to light in its interactions with matter during the phenomena of emission and reflection. Thus, the kinematics of light depends on its kinetics of electromagnetic nature and by its mechanical interactions of emission and reflection with the matter. Light behaves in the inertial frames like in the frame at absolute rest, and the speed of light is the constant <mml:math display="inline"> <mml:mi>c</mml:mi> </mml:math> in the inertial frames in which the source and mirror are at rest. The terrestrial experiments with light cannot prove the motion of Earth. This study explains the result of the experiment performed at CERN, Geneva, in 1964. Including the massless balls within Newtonian mechanics, the emission, propagation, and reflection of light can be considered mechanical phenomena.

Invariance Properties of the Entropy Production, and the Entropic Pairing of Inertial Frames of Reference by Shear-Flow Systems

This study examines the invariance properties of the thermodynamic entropy production in its global (integral), local (differential), bilinear, and macroscopic formulations, including dimensional scaling, invariance to fixed displacements, rotations or reflections of the coordinates, time antisymmetry, Galilean invariance, and Lie point symmetry. The Lie invariance is shown to be the most general, encompassing the other invariances. In a shear-flow system involving fluid flow relative to a solid boundary at steady state, the Galilean invariance property is then shown to preference a unique pair of inertial frames of reference—here termed an entropic pair—respectively moving with the solid or the mean fluid flow. This challenges the Newtonian viewpoint that all inertial frames of reference are equivalent. Furthermore, the existence of a shear flow subsystem with an entropic pair different to that of the surrounding system, or a subsystem with one or more changing entropic pair(s), requires a source of negentropy—a power source scaled by an absolute temperature—to drive the subsystem. Through the analysis of different shear flow subsystems, we present a series of governing principles to describe their entropic pairing properties and sources of negentropy. These are unaffected by Galilean transformations, and so can be understood to “lie above” the Galilean inertial framework of Newtonian mechanics. The analyses provide a new perspective into the field of entropic mechanics, the study of the relative motions of objects with friction.

Some arguments for the wave equation in Quantum theory

We clarify some arguments concerning Jefimenko’s equations, as a way of constructing solutions to Maxwell’s equations, for charge and current satisfying the continuity equation. We then isolate a condition on non-radiation in all inertial frames, which is intuitively reasonable for the stability of an atomic system, and prove that the condition is equivalent to the charge and current satisfying certain relations, including the wave equations. Finally, we prove that with these relations, the energy in the electromagnetic field is quantised and displays the properties of the Balmer series.

Common-Sense Rejected by Physicists:

We propose a new integration of relativity and quantum mechanics (QM). Your cell phone or smart phone is a rich source of empirical information about relativity. It tells time based on a system called Coordinated Universal Time (UTC) which assumes absolute simultaneity: all observers in all inertial frames observe the same sequence of all events. You must choose whether to trust the time on your cell phone, or trust Einstein’s incompatible ideas about a space-time continuum. As concerns QM, the existence of “weirdness” means a mistake was made in QM’s starting assumptions. This article finds and corrects that mistake and presents for the first time, a quantum world free of all weirdness. There is another half to nature, previously unrecognized. It is devoid of energy and matter, namely zero-energy Elementary Waves which move within the medium of aether. We derive the linear wave PDE’s. There is evidence that Elementary Waves are in control of nature, despite their lack of energy. The existence of UFO’s (Unidentified Flying Objects) suggests that someone has learned how to control Elementary Waves. If we could learn from the UFO’s, we might acquire a decisive advantage in our battle against climate change.

A New Thought Experiment on Relativistic Length Contraction

Relativistic length contraction is revisited and a simple but new thought experiment is proposed in which an apparent asymmetric situation is developed between two different inertial frames regarding detection of light that comes from a chamber to an adjacent chamber through a movable slit. The proposed experiment does not involve gravity, rigidity or any other dynamical aspect apart from the kinematics of relative motion; neither does it involve any kind of nonuniformity in motion. The resolution of the seemingly paradoxical situation has finally been discussed.