This article argues that the real basis of Special Relativity is the Lorentz Metrics and illustrates this idea on the example of 1-dimensional geometry.
Niels Bohr's 1913 approach to Quantum Theory yields the relativistic Schroedinger Equation, suggesting that the physical meaning of the wave function is not probabilistic. The existence and physical meaning of longitudinal waves of E-M Potential are discovered.
The "Psi" Function of Quantum Theory is actually a complex amplitude of some standing wave that has different frequencies of oscillations in different locations. If we assume that De-Broglie frequency of moving electron has to be equal to the local frequency of this standing wave then we obtain the Schroedinger Equation.
Einstein's Special Relativity (SR) is the biggest advance of the 20th century in theoretical physics. Let us say Einstein hit the gold. A. Einstein was a talented physicist, but he also had a talent in how to hide the gold to prevent it from being stolen. He elaborately misrepresented the discovery so that even today nobody really understands its true meaning. And I mean it. Even the people on the top of the mainstream theoretical physics, who acquired an excellent mathematical background, do believe that SR is not a classical theory, that it uncovers a symmetry called ?Lorentz invariance?, and to go forward one has to look for another possible symmetry/invariance in physics. Notice that contemporary theory of elementary particles is based on symmetry groups considerations. It is taken from the Lorentz invariance idea. No wonder that the opposition to mainstream with lower math background does not understand SR either.
This text is towards the discussion that will be held on 8-8-09. I like the interested people to know my direction beforehand. This particular version was uploaded on 8-7-09.
There is hope that a properly developed Classical Electrodynamics (CED) will be able to play a role in a unified field theory explaining electromagnetism, quantum phenomena, and gravitation. There is much work that has to be done in this direction. In this article we propose a move towards this aim by refining the basic principles of an improved CED. Attention is focused on the reinterpretation of the E-M potential. We use these basic principles to obtain solutions that explain the interactions between a constant electromagnetic field and a thin layer of material continuum; between a constant electromagnetic field and a spherical configuration of material continuum (for a charged elementary particle); between a transverse electromagnetic wave and a material continuum; between a longitudinal aether wave (dummy wave) and a material continuum.
SRT is a classical physical theory and as a such deals with description of physical reality by numbers. The presumption used in any classical theory is that physical reality CAN be described by numbers. From one side this prsumption based on the believe that physical reality is unique and from the other side on the fact that the numbers are unique.
- SRT introduced 4 dimensional supernumbers to describe moving objects.
- SRT found 4-metric tensor: before we knew only that the proper length of the stright line between the points A(x=0,y=0) and B(x,y) is sqrt(x2+y2). Now we know that the proper length of the stright line between the points A(t=0,x=0) and B(t,x) is sqrt(x2-c2t2) or proper time is sqrt(c2t2-x2).
- According to the requirements of 4D description Einstein improved Newton's dynamics equation to the Relativistic Dynamics Equation.
These three are the big advantages and they represent the second face of Janus. There is no relativity here. We did not care in 3D geometry that different observers can use different 3D coordinat systems. We have here the same option: not to care about other observers also. All physics with all "relativistic effects" can be described in just one 4D coordinate system. There is a little disadvantage: to manage the second face of Janus we have to be able to manage math on a very high level. At least we have to know Riemann's N-dimensional geometry which in fact is a mathematical theory of n-dimensional supernumbers. This is why the second face looks not so attractive and normally hides behind the first face. But the second face is a real thing while tne first face is a fake...
It is Section 11 of my not published book that was written in 2000. Electron, Proton, Neutron solutions were obtained in violation of my "Extended Electrodynamics". In 2008 was published a much better version of the theory.