For the special theory of relativity, the normalization problem is formulated as the question how observers in constant relative motion may reach an agreement on space and time scales. As the normalization problem does not receive a thorough treatment in the standard development of the theory, two possible solutions called normalization at rest and normalization in motion are suggested. It is shown that normalization in motion makes the validity of the Lorentz transformation the result of mere conventions. The non-conventional approach following from normalization at rest requires an assumption concerning the acceleration of objects. A conceptual distinction between inside and outside observation, together with the analysis of the normalization problem, allows us to formulate an alternative interpretation of special relativity contrasting both the standard interpretation and Lorentz-type interpretations.
It is known that action is invariant in special relativity. The goal of this note is to show that the reverse statement is also correct, that special relativity follows from the postulate that action is invariant under the transformation from one inertial frame to another.
Simply by assuming the first postulate of Special Relativity and by exploring Gedankenexperiments with electromagnetic forces, we suggest that there is a speed limit in the universe, which can be determined as a relation between vacuum permeability and permittivity. We also derive space contraction and time dilatation without referring to light. Finally, we argue that, based on previous works on the derivation of Lorentz s Transformation without light and from our results, it is possible to transform the epistemological status of the Einstein s second postulate from principle into derivation.
In this paper we consider the central force problem in the special theory of relativity. We derive the special relativistic version of the Binet equation describing the orbit of a body. Then, the motion of a planet in a solar-like system where the gravitational potential is modified by adding a term that is proportional to the inverse of the square of the radial coordinate is discussed. Using perturbative method, we obtain the explicit orbital function. At the end, the orbital precession of the planet and its relation to the result from general relativity are also discussed.
In the article, the deformation of special relativity within the frame of conformable derivative is formulated. Within this context, the two postulates of the theory were re-stated. And, the addition of velocity laws were derived and used to verify the constancy of the speed of light. The invariance principle of the laws of physics is demonstrated for some typical illustrative examples, namely, the conformable wave equation, the conformable Schrodinger equation, and the conformable Gordon-Klein equation. The current formalism may be applicable when using special relativity in a nonlinear or di…
Oscillation of a rigid rod in the special relativity
在狭义相对论中，一根刚性杆在自身上滑动，一端作谐波振荡。我们发现了运动幅度和杆长的限制，这对消除非物理解至关重要。- Cxe la speciala relativeco，rigida stango movigxas sur sir，kun unu fino oscillante harmonie.如果你不想在长时间的运动中受到限制，就必须消除不必要的溶剂。
