[5] **viXra:1003.0265 [pdf]**
*submitted on 30 Mar 2010*

**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

[4] **viXra:1003.0259 [pdf]**
*submitted on 28 Mar 2010*

**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

[3] **viXra:1003.0017 [pdf]**
*submitted on 6 Mar 2010*

**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

[2] **viXra:1003.0016 [pdf]**
*submitted on 6 Mar 2010*

**Authors:** V. Christianto, Florentin Smarandache

**Comments:** 5 pages

In the present article we argue that it is possible to find numerical solution of coupled
magnetic resonance equation for describing wireless energy transmit, as discussed recently
by Karalis (2006) and Kurs et al. (2007). The proposed approach may be found
useful in order to understand the phenomena of magnetic resonance. 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*

**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