A note on Kolmogorov's −5/3 scaling law in a non-inertial frame of reference

2005 ◽  
Vol 6 ◽  
pp. N27
Author(s):  
Yu-ning Huang
Author(s):  
Stefan Von Weber ◽  
Alexander Von Eye

The Cosmic Membrane theory states that the space in which the cosmic microwave background radiation has no dipole is identical with Newton’s absolute space. Light propagates in this space only. In contrast, in a moving inertial frame of reference light propagation is in-homogeneous, i.e. it depends on the direction. Therefore, the derivation of the dilation of time in the sense of Einstein’s special relativity theory, i.e., together with the derivation of the length contraction under the constraint of constant cross dimensions, loses its plausibility, and one has to search for new physical foundations of the relativistic contraction and dilation of time. The Cosmic Membrane theory states also that light paths remain always constant independent on the orientation and the speed of the moving inertial frame of reference. Effects arise by the dilation of time. We predict a long term effect of the Kennedy-Thorndike experiment, but we show also that this effect is undetectable with today’s means. The reason is that the line width of the light sources hides the effect. The use of lasers, cavities and Fabry-Pérot etalons do not change this. We propose a light clock of special construction that could indicate Newton’s absolute time t0 nearly precisely.


2021 ◽  
Vol 230 ◽  
pp. 116137
Author(s):  
Bastien Delacroix ◽  
Juliane Rastoueix ◽  
Louis Fradette ◽  
François Bertrand ◽  
Bruno Blais

1968 ◽  
Vol 1 ◽  
pp. 301-305 ◽  
Author(s):  
W. Fricke ◽  
W. Gliese

A fundamental catalogue compiled from independent and differential observations of stellar positions at various epochs provides the fundamental system of positions and proper motions of the stars. The system ought to be compiled in such a way that it represents the inertial frame of reference as accurately as practicable. Its direct purpose is to serve as the reference system of positional astronomy. It should fulfil the requirements of astronomical research, in particular in celestial mechanics and galactic research, as well as the demands of the astronomical determinations of time and of latitudes. It has also to fulfil the requirements of geodesy and navigation. For all these purposes the system must be uniform over the whole sky (free from regional systematic errors), and it has to be uniform over a large range of stellar magnitudes (free from errors depending on the magnitude of the stars).


Author(s):  
Roman Szostek

The article presents formal proof that the Special Theory of Relativity is wrong, that is, the interpretation of the mathematics on which STR is based, proposed by Einstein is incorrect. The article shows that there are infinitely many kinematics in which one-way speed of light is always equal to c. The kinematics of Special Theory of Relativity (STR) is only one of those infinitely many kinematics. It presents that mathematics on which STR kinematics is based can be interpreted differently and this leads to other conclusions on the properties of this kinematics. In this article, the whole class of linear transformations of time and coordinate was derived. Transformations were derived on the assumption that conclusions from Michelson-Morley’s and Kennedy-Thorndikea’s experiments are met for the observer from each inertial frame of reference, i.e. that the mean velocity of light in the vacuum flowing along the way back and forth is constant. It was also assumed that there is at least one inertial frame of reference, in which the velocity of light in a vacuum in each direction has the same value c, and the space is isotropic for observers from this distinguished inertial frame of reference (universal frame of reference). Derived transformations allow for building many different kinematics according to Michelson-Morley’s and Kennedy-Thorndikea’s experiments. The class of transformations derived in the study is a generalization of transformations derived in the paper [10], which consists in enabling non-zero values of parameter e(v). The idea of such a generalization derives from the person, who gave me this extended transformations class for analysis and publication.


1968 ◽  
Vol 23 (4) ◽  
pp. 562-578
Author(s):  
H. Näpfel

A system of interacting particles is treated by the methods of quantum mechanics. Among the variables the three Euler angles are introduced which give the orientation of the system as a whole in an inertial frame of reference. This allows an expansion of the Schrödinger eigenfunctions in terms of elements of irreducible representations of the rotation group. This method, originally suggested by Wigner, is extended to include particles with spin. Two and three particle systems, one particle having spin 1/2, the rest being spinless, are treated explicitly. If the two spinless particles are regarded as the core of a nucleus, the spin 1/2 particle as an extra nucleon, one can compare this “three particle nuclear model” with other nuclear models. It permits calculations of Nilsson diagrams and, compared with other models, a more straightforward adjustment of parameters to empirical data.


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