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[6] viXra:1811.0428 [pdf] submitted on 2018-11-26 09:54:21
Authors: Miroslav Josipović
Comments: 4 Pages.
This small article is intended to be a contribution to the LinkedIn group “Pre-University
Geometric Algebra”. The main idea is to show that in geometric algebra we have the Pythagoras’
and De Gua’s theorems without a metric defined. This allows us to generalize these theorems to
any dimension and any signature.
Category: Mathematical Physics
[5] viXra:1811.0381 [pdf] replaced on 2020-07-01 12:25:53
Authors: Richard Shurtleff
Comments: 14 pages
The Poincare and conformal groups are contenders for the most fundamental spacetime symmetry group. An 8-dimensional rep, putting two 4-spinors together, makes a suitable platform to install matrix representations of these two fundamental groups. But some of their generators do not commute, so new generators are introduced to keep the algebra closed. The combined algebra then has 37 basis generators, a dozen more than needed for the Poincare and conformal algebras. Interestingly, with two Lorentz subalgebras, one finds two distinct definitions of spin. For the adjoint representation, one set of Lorentz generators reduces to irreducible representations, all with integer spin. The other Lorentz group reduces to both integer and `half-integer' spin irreducible representations. Also, one finds that the various representations confirm the spin rules for matrix translation generators with the spins of both Lorentz subgroups.
Category: Mathematical Physics
[4] viXra:1811.0373 [pdf] replaced on 2019-02-06 23:48:53
Authors: Peter J. Nolan, Hunter McClelland, Craig Woolsey, Shane D. Ross
Comments: 20 Pages.
The transport of material through the atmosphere is an issue with wide ranging implications for fields as diverse as agriculture, aviation, and human health. Due to the unsteady nature of the atmosphere, predicting how material will be transported via Earth's wind field is challenging. Lagrangian diagnostics, such as Lagrangian coherent structures (LCSs), have been used to discover the most significant regions of material collection or dispersion. However, Lagrangian diagnostics can be time consuming to calculate and often rely on weather forecasts that may not be completely accurate. Recently, Eulerian diagnostics have been developed which can provide indications of LCS and have computational advantages over their Lagrangian counterparts. In this paper, a methodology is developed for estimating local Eulerian diagnostics from wind velocity data measured by a fixed wing unmanned aircraft system (UAS) flying in circular arcs. Using a simulation environment, it is shown that the Eulerian diagnostic estimates from UAS measurements approximate the true local Eulerian diagnostics, therefore also predicting the passage of LCSs. This methodology requires only a single flying UAS, making it more easy to implement in the field than existing alternatives.
Category: Mathematical Physics
[3] viXra:1811.0363 [pdf] replaced on 2018-12-16 05:44:46
Authors: Preobrazhenskiy Andrey
Comments: 8 Pages. V2
In this paper it is shown that the system of four equations formed by three-dimensional Navier-Stokes equations system for incompressible fluid and equation of continuity, is not closed, equation of continuity is excessive. This is because the three-dimensional Navier-Stokes equations system cannot have a bounded at infinity solutions to the Cauchy problem with a non-zero velocity field divergence.
Category: Mathematical Physics
[2] viXra:1811.0289 [pdf] submitted on 2018-11-18 09:39:36
Authors: Adham Ahmed Mohamed Ahmed
Comments: 1 Page. ty
In this paper we will talk about I numbering system I want to invent which is based on the knowledge of true and false being 1 and 0 (true and false)
Lets take a look at our hands it has 10 fingers which uses the decimal system its ok
Lets take out the true and false which are the 1 and 0 (one and zero) from the decimal system leaving eight numbers which are 2 3 4 5 6 7 8 9 but first lets take a look at how I thought of this
These are 10 mathematical stuff made from 1 and 0 or the true and false below
1*1/1*1=1(true fact or something) 1*0/1*1=0 0*1/1*1=0 0*0/1*1=0
1*1/0*0=not understood 1*1/1*0=not understood 1*1/0*1=not understood 0*1/0*0=not understood 1*0/0*0= not understood 0*0/0*0= totally not understood
When looking at this you see that if you take the true and false which are 1*1/1*1=1 and 0*0/0*0=totally not understood you are left with 8 of the 10
Now to see how you can apply this new numbering system you should look at what follows
Lets start counting in this numbering system with 2 and end with 8 so we say 2 3 4 5 6 7 8 9
Lets do this mathematical trick 2*3*4*5/6=120/6=20 which is 2*10=20
Lets try an easier one which is 3*4*5/6=60/6=10 you see the trick?
Adding a truth to false and another truth(which is my theory!!!!) which all amounts to 3 (2 truths and one false) which starts with 3
in this one you get to the numbering system in your hand or 10 in the second easier mathematical trick and also in the mathematical trick starting with 2 ends with 20 which when divided by 10 you get 2 which is the number you started with!!!!!
Category: Mathematical Physics
[1] viXra:1811.0036 [pdf] submitted on 2018-11-02 10:41:52
Authors: Valeriy V. Dvoeglazov
Comments: 19 Pages. Extended version of viXra:1809.0241 to include spin 1.
In the present article we investigate the spin-1/2 and spin-1 cases in different bases. Next, we look for relations
with the Majorana-like field operator. We show explicitly incompatibility of the Majorana anzatzen with the Dirac-like field operators in both the original Majorana theory and its generalizations. Several explicit examples are presented for higher spins too. It seems that the calculations in the helicity basis give mathematically and physically reasonable results only.
Category: Mathematical Physics
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