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0805 Submissions

[4] viXra:0805.0004 [pdf] submitted on 12 May 2008

Helmholtz's Decomposition Theorem, Etc.

Authors: R. I. Khrapko
Comments: recovered from

The fact is used that electromagnetic fields are covariant (antisymmetric) tensors or contravariant (antisymmetric) tensor densities, which are mutual conjugated. The conjugation allows many-fold specific differentiation of the fields and leads to field chains. An integral operation, named the generation, is considered, which is reverse to the specific differentiation. The double generation yields zero as well as the double differentiation. The Helmholtz decomposition is compared with the Poincare decomposition, and many ways of the Helmholtz decomposition are presented. Laplace operator and the inverse Laplace operator are expressed in terms of the differential and integral operations. All results are illustrated by simple examples.
Category: Classical Physics

[3] viXra:0805.0003 [pdf] submitted on 12 May 2008

A Manifest Failure of Grassmann's Force

Authors: Jorge Guala-Valverde, Ricardo Achilles
Comments: recovered from

The growing interest in a thorough revision of the tenets of classical electrodynamics [1,2] compels us to reconsider the torque-production mechanism presently applied to homopolar machines founded - indistinctively - on Ampére or Grassmann's basis. Recent crucial experimentation [1] definitively rules out the latter rationale for its physical inconsistency.
Category: Classical Physics

[2] viXra:0805.0002 [pdf] submitted on 9 May 2008

Distribution of Distances in the Solar System

Authors: V. Perinova, A. Luks, P. Pintr
Comments: recovered from

The recently published application of a diffusion equation to prediction of distances of planets in the solar system has been identified as a two-dimensional Coulomb problem. A different assignment of quantum numbers in the solar system has been proposed. This method has been applied to the moons of Jupiter on rescaling.
Category: Astrophysics

[1] viXra:0805.0001 [pdf] submitted on 8 May 2008

Shortcomings and Applicable Scopes of Special and General Theory of Relativity

Authors: Fu Yuhua
Comments: recovered from

The special theory of relativity and general theory of relativity have three basic shortcomings. First, the special and general theory of relativity respectively have two basic principles, altogether have four basic principles in the interior of relativity, these obviously do not conform to the truth uniqueness; Second, for the two basic principles of special theory of relativity and the two basic principles of general theory of relativity, no one is generally correct; Third, establishing the physical theory from the mathematics principle instead of the physical principle. In this foundation, presents the applicable scopes of special and general theory of relativity. Points out some wrong results caused by the theory of relativity (including the Lorentz transformation), such as the problems that the sonic speed in vacuum permanently is equal to zero, the twin paradox that the two brothers' state of motion are quite same, and so on. Proposes that taking law (principle) of conservation of energy as the interdisciplinary grand unified theory to unified process all the problems related to energy in physics, astronomy, mechanics, chemistry, biology, medicine, engineering and so on; taking the unified variational principle for quantization in dynamic Smarandache multi-space and the fractal method as the interdisciplinary grand unified method; and taking the "science of conservation of energy" to replace or partially replace the theory of relativity.
Category: Relativity and Cosmology