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Novel Relativity Theories of Synthetic Aperture Radar
Published in Maged Marghany, Automatic Detection Algorithms of Oil Spill in Radar Images, 2019
The backscatter photon in Equations 7.6 and 7.7 matches with the formulas achieved by means of relativistic electrodynamics, the principles of wave optics or directly from the postulates of special relativity [3,7,12,14–17,19–21]. The remarkable fact is that in developing the similar equations, we merely expend the associations for the energy and momentum of a microwave photon in the sense of the photon model, which were deceptively revealed and established independently of special relativity [22]. Another curious argument is that the resulting Formulas 7.6 and 7.7 are essentially nonrelativistic theory, which is also effective in the circumstance when the sea surface is moving at relativistic speeds [122–126].
Wave Packet and de Broglie's Wave-particle Duality
Published in Caio Lima Firme, Quantum Mechanics, 2022
The special theory of relativity has two postulates: (1) the laws of electrodynamics and optics are invariant in all inertial frames of reference, i.e., they are valid for all references in which the mechanics equations are valid; and (2) light always propagates in the empty space with a definite velocity c independently of the state of motion of the emitting body or observer (the constancy of the speed of light). The two postulates of special relativity predict the equivalence of mass (or rest mass) and energy (or rest energy): E=mc2
Quantum Basics for Nanotechnology
Published in Paolo Di Sia, Mathematics and Physics for Nanotechnology, 2019
λ is said the de Broglie wavelength of the particle. However, Eqs. 11.9 and 11.10 lead to an apparent contradiction with one of the postulates of special relativity of Einstein on the speed of light as maximum attainable value (Fig. 11.4).
Inhomogeneous wave equation, Liénard-Wiechert potentials, and Hertzian dipoles in Weber electrodynamics
Published in Electromagnetics, 2022
Notably, not only is this force-carrier model compatible with the two postulates of special relativity, Maxwell’s equations and wave Equation (106), it can also explain the specific elliptic form of the Weber force (62). Furthermore, this model offers new opportunities for interpreting quantum effects due to its field quantization. Unfortunately, little investigation has been conducted on the consequences of the mechanism postulated here for phenomena outside of classical electrodynamics. However, it is known that one can derive from the Weber force not only magnetism, but likely gravitation and inertial effects as well.3 Therefore, further study of these new ideas may be promising.