Classical Physics

1003 Submissions

[4] viXra:1003.0265 [pdf] submitted on 30 Mar 2010

Theory of Electromagnetism and the Light

Authors: Arman.V.zadeh
Comments: 14 pages

This article is about atoms and their particulars in equations. There are lots of equations from this subject that they have given by different scientists. For example one of those equations is the Planck equation that is for calculating the electron's momentum in the atom and we can add mechanic's statistic for some or all place's of electron in the atom.
Category: Classical Physics

[3] viXra:1003.0259 [pdf] submitted on 28 Mar 2010

Analytical Proof of the Taylor Equation Including Taylor's Constant Sγ Which Previously Required Numerical Integration, with Applications

Authors: Nigel B. Cook
Comments: 3 pages, see paper for equations in abstract

British mathematician Sir Geoffrey I. Taylor in secret work for British civil defence in 1941 (declassified in 1950 and published in the Proceedings of the Royal Society, vol. 201A, pp. 159-186), derived the strong shock solution equation, namely distance, (equation) , where (equation) is the ambient (pre-shock) atmospheric density, t is time after explosion, E is the energy released and Sg is Taylor's calculated function of g, requiring a complex step-wise numerical integration. We present a proof of the equation (equation), implying that Taylor's so-called constant (equation), not requiring any complex integration. This is useful for close-in shock waves from nuclear explosions and supernovae explosions. We further obtain the general arrival time of the shock wave (equation), by noting two asymptotic solutions; namely, at very great distances, the blast decays into a sound wave so the arrival time t approaches the ratio of distance to sound velocity (equation), while at very close-in distances the strong shock equation previously derived becomes accurate, and there is also an easily included effect at intermediate distances due to the expansion of the hot air in reducing shock front arrival times. The errors of method made by Taylor for nuclear test explosions in air were also made by Russian mathematician Leonid I. Sedov who applied similar cumbersome numerical integrations in a 1946 paper (published in the Journal of Applied Mathematics and Mechanics, vol. 10, pp. 241-50).
Category: Classical Physics

[2] viXra:1003.0017 [pdf] submitted on 6 Mar 2010

An Exact Mapping from Navier-Stokes Equation to Schrödinger Equation via Riccati Equation

Authors: V. Christianto, Florentin Smarandache
Comments: 2 pages

In the present article we argue that it is possible to write down Schrödinger representation of Navier-Stokes equation via Riccati equation. The proposed approach, while differs appreciably from other method such as what is proposed by R. M. Kiehn, has an advantage, i.e. it enables us extend further to quaternionic and biquaternionic version of Navier-Stokes equation, for instance via Kravchenko's and Gibbon's route. Further observation is of course recommended in order to refute or verify this proposition.
Category: Classical Physics

[1] viXra:1003.0010 [pdf] replaced on 6 Mar 2010

A Derivation of Maxwell Equations in Quaternion Space

Authors: V. Christianto, Florentin Smarandache
Comments: 6 pages

Quaternion space and its respective Quaternion Relativity (it also may be called as Rotational Relativity) has been defined in a number of papers including [1], and it can be shown that this new theory is capable to describe relativistic motion in elegant and straightforward way. Nonetheless there are subsequent theoretical developments which remains an open question, for instance to derive Maxwell equations in Q-space. Therefore the purpose of the present paper is to derive a consistent description of Maxwell equations in Q-space. First we consider a simplified method similar to the Feynman's derivation of Maxwell equations from Lorentz force. And then we present another derivation method using Dirac decomposition, introduced by Gersten (1999). Further observation is of course recommended in order to refute or verify some implication of this proposition.
Category: Classical Physics