Member

The integration between the special relativity theory and quantum mechanics yielded many paradoxes that remained unsolved until the last years, like the ?Zitterbewegung problem?. As well as the spin prediction from the Dirac equation could be identified only with non-relativistic approximations (Pauli and Foldy-Wouthysen). In this paper, we show that the derivation of the spin can be done with a classical treatment. By this approach a modified Dirac equation was obtained which also interpreted the relativistic Zitterbewegung as a classical Zitterbewegung.

A new fundamental derivation for the Lorentz Transformation (LT) is presented. This fundamental derivation ends the physical role of the LT and removes the kinematical effects in the original derivation [1]. In several recent papers we demonstrated that by choosing new sets of postulates including the classical physics laws within the main body of Einstein?s special relativity theory (SRT) and applying the classical relativity principle it is possible to derive the fundamental relativistic equations pertaining to relativistic particle without using the LT. In the present paper, and by following the same approach, we get the LT without the classical approach (and what Einstein considered to be central consequence to his postulates); i.e. the LT, becomes secondary not fundamental. Hence, this paper demonstrates that in contrast to Einstein LT with its kinematical effects, the LT produced by our alternative method is simply a natural transformation, containing no physical significance.

This paper identifies the fundamental conceptual flaw that has persisted for the past 100 years. The flaw is the equivalence of a ?mass? and ?energy?, and the description of such equivalence by the relationship E = mc². In this paper, we show an exact proof for E = mc² starting from classical Mechanics. This is done from the point of view of one inertial frame, not two, and without invoking the theory of electromagnetism [1], as well as without invoking SRT [2]. The existence of an invariant 3d- force is important to get the relativistic mechanics from the relationship E = mc².

In several recent papers we showed that choosing new sets of postulates, including classical (pre-Einstein) physics laws, within the main body of Einstein's special relativity theory (SRT) and applying the relativity principle, enables us to cancel the Lorentz transformation from the main body of SRT. In the present paper, and by following the same approach, we derive Einstein's equation E = mc² from classical physical laws such as the Lorentz force law and Newton's second law Einstein's equation is obtained without the usual approaches of thought experiment, conservation laws, considering collisions and also without the usual postulates of special relativity.

In this paper we also identify a fundamental conceptual flaw that has persisted for the past 100 years. The flaw is interpreting the formula E = mc² as the equivalence between inertial mass and any type of energy and in all contexts. It is shown in several recent papers that this is incorrect, that this is a misinterpretation. What Einstein considered to be a central consequence of special relativity is in fact derivable from (pre-Einstein) classical considerations. E = mc² becomes secondary, not fundamental, and whilst no doubt useful in certain circumstances, need not be valid in all generality.

There exists an inconsistency between Einstein?s special relativity and de Broglie quantum wave, and it has never been resolved from the viewpoint of relativistic physics. A more suitable method to deal with the contradictions is to start with the laws of classical physics and make them applicable to all particle velocities; i.e., expand the appropriateness of these laws to deal with relativistic domain. When we do this, we expand the appropriateness of Newton?s Second Law (NSL) by describing the moving particle as a wave. Thus, we derive the de Broglie relations from NSL without any contradictions.

This paper shows that calculation and interpretation of the relativistic Doppler effect is possible using only the Lorentz force law and the relativity principle, without explicitly using the Lorentz transformation and dealing with the various contradictions involved. This approach ends the role of Lorentz transformation in the relativistic Doppler effect. Using on this approach, one can also find an intrinsic energy of a particle, which allows us to reconstruct the compatibility between the framework of de Broglie wave theory and SRT without the usual contradictions.

This paper shows that all the facts that seem to require Maxwell?s Field Equations to be invariant under Lorentz transformations can be derived from assumptions different from what Einstein used. We start with Maxwell?s Field Equations and apply the relativity principle to them. With this approach, SRT is reformulated in a simple form that has its dynamical applications without using the LT and its kinematical contradictions.

The claim that Newton's second law is close to the relativistic law is not quite accurate; it is more accurate to say, that Newton's second law is applied without the concept of ?mass change'. Does this mean that applying the concept ?mass change' along with Newton's second law allows all the relations in relativistic mechanics to be re-derived without using Einstein's relativity (SRT)? The present paper answers in the affirmative.

This paper presents new evidence that including the three?vector Lorentz force law within the framework of special relativity enables one to derive the fundamental relativistic equations pertaining to a charged particle, and, as a result, the relativistic charge density can be derived without using the Lorentz Transformation. Hence, in this formalism the kinematic length-contraction effect is useless, and cannot serve as the basis for any subsequent dynamical variable in relativistic electrodynamics.

This paper demonstrates that including the 3-vector Lorentz force law within the framework of Special Relativity Theory allows derivation of the fundamental relativistic equations pertaining to a charged particle without using Lorentz transformation, and hence without using its kinematic effects; i.e. length contraction and time dilation. Besides that, the invariance of light speed can be interpreted in a way that does not depend on the properties of space-time. Key words: Lorentz force law, special relativity, length contraction, time dilation.