On Lorentz transformations with elliptic biquaternions

2020 ◽  
pp. 121-140 ◽  
Keyword(s):  
Lorentz Transformations

Turbulence of Economic Processes: Theoretical Aspects

2009 ◽  
pp. 90-97 ◽  
Author(s):  
V. Burlachkov
Keyword(s):  
Economic System ◽  
Process Approach ◽  
Lorentz Transformations ◽  
Macroeconomic Dynamics ◽  
Turbulence Analysis

The article discusses turbulence of economic processes as a result of relative velocities of economic system elements. It is underlined that turbulence is the property of macroeconomic dynamics. The main reason of turbulence in economic system is the discrepancy between the velocity of deals contracting and the velocity of obligations executing. The process approach to the analysis of economic system as a set of processes is proposed. Using Lorentz transformations for turbulence analysis is discussed.

Another route to the Lorentz transformations

2016 ◽  
Vol 186 (5) ◽  
pp. 537-541
Author(s):  
Evgenii G. Bessonov
Keyword(s):  
Lorentz Transformations

An analogy between electromagnetic and internal waves

2019 ◽  
Vol 485 (4) ◽  
pp. 428-433
Author(s):  
V. G. Baydulov ◽  
P. A. Lesovskiy
Keyword(s):  
Angular Momentum ◽  
Conservation Laws ◽  
Internal Wave ◽  
Special Relativity ◽  
Internal Waves ◽  
Maxwell Equations ◽  
Wave Equations ◽  
Lagrange Function ◽  
Lorentz Transformations ◽  
Symmetry Transformations

For the symmetry group of internal-wave equations, the mechanical content of invariants and symmetry transformations is determined. The performed comparison makes it possible to construct expressions for analogs of momentum, angular momentum, energy, Lorentz transformations, and other characteristics of special relativity and electro-dynamics. The expressions for the Lagrange function are defined, and the conservation laws are derived. An analogy is drawn both in the case of the absence of sources and currents in the Maxwell equations and in their presence.

scholarly journals SPIN–MOMENTUM CORRELATION IN RELATIVISTIC SINGLE-PARTICLE QUANTUM STATES

2010 ◽  
Vol 08 (03) ◽  
pp. 517-528 ◽  
Author(s):  
M. A. JAFARIZADEH ◽  
M. MAHDIAN
Keyword(s):  
Single Particle ◽  
Inertial Frame ◽  
Quantum States ◽  
Moving Frame ◽  
Lorentz Transformations ◽  
Mixed States ◽  
Wigner Rotation ◽  
Lorentz Boost ◽  
Momentum Correlation ◽  
Spin Momentum

This paper is concerned with the spin–momentum correlation in single-particle quantum states, which is described by the mixed states under Lorentz transformations. For convenience, instead of using the superposition of momenta we use only two momentum eigenstates (p1 and p2) that are perpendicular to the Lorentz boost direction. Consequently, in 2D momentum subspace we show that the entanglement of spin and momentum in the moving frame depends on the angle between them. Therefore, when spin and momentum are perpendicular the measure of entanglement is not an observer-dependent quantity in the inertial frame. Likewise, we have calculated the measure of entanglement (by using the concurrence) and have shown that entanglement decreases with respect to the increase in observer velocity. Finally, we argue that Wigner rotation is induced by Lorentz transformations and can be realized as a controlling operator.

Superluminal Lorentz transformations

2021 ◽  
Vol 34 (1) ◽  
pp. 44-50
Author(s):  
Giorgio Capezzali
Keyword(s):  
Reference Frame ◽  
Physical Meaning ◽  
Lorentz Transformations ◽  
Inertial Reference Frame ◽  
Linear Transformations

In this article, linear transformations of coordinates to a superluminal inertial reference frame are presented. Even if there is no need to use imaginary numbers to maintain c invariant, these functions are just intended as a mathematical curiosity not necessarily having a real physical meaning. Possible applications to our world, if any, are left to the reader.

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