Mathematical Physics

1808 Submissions

[5] viXra:1808.0181 [pdf] replaced on 2018-08-18 03:10:26

Turbulence in Fluid Flow Analyzed Simply

Authors: A. A. Frempong
Comments: 4 Pages. Copyright © by A. A. Frempong

The fluid flow in the Navier-Stokes solution may be characterized as follows. The x-direction solution consists of linear, parabolic, and hyperbolic terms. The first three terms characterize polynomial parabolas. The characteristic curve for the integral of the x-nonlinear term is a radical parabola. The integral of the y-nonlinear term is similar parabolically to that of the x-nonlinear term. The integral of the z-nonlinear term is a combination of two radical parabolas and a hyperbola. The polynomial parabolas alone produce laminar flow. It is illustrated that the polynomial parabolas, the radical parabolas and the hyperbola branches working together produce turbulence, rotation, swirling, and chaos
Category: Mathematical Physics

[4] viXra:1808.0144 [pdf] submitted on 2018-08-12 06:03:49

On the Geometric Structure of the Spatiotemporal Manifold

Authors: Vu B Ho
Comments: 18 Pages.

In this work we will discuss the geometric structure of the spatiotemporal manifold which appears apparently as a multiverse whose intrinsic geometric structures will be shown to be resulted from geometric interactions between space and time. The geometric and topological structures of the total spatiotemporal manifold are formed from the geometric interactions of the decomposed cells from the base space of the total spatiotemporal manifold which is considered as a fiber bundle. In particular we will discuss in details spacetime which has the mathematical structure of a 6-sphere bundle in which the dynamics of the fibers is resulted from the geometric interactions of different types of decomposed cells that give rise to various relationships between space and time. We also show that the concept of the spatiotemporal manifold being viewed as a multiverse endowed with the structure of a CW complex was in fact suggested by Newton himself in his book Opticks. In Newton’s multiverse, the expansion of space can be seen as a geometric evolution which redistributes to smooth out irregularities of the spatiotemporal manifold.
Category: Mathematical Physics

[3] viXra:1808.0107 [pdf] submitted on 2018-08-08 11:39:58

Mapping the Fourfold H4 600-Cells Emerging from E8: a Mathematical and Visual Study

Authors: J Gregory Moxness
Comments: 18 Pages.

It is widely known that the E8 polytope can be folded into two Golden Ratio (Phi) scaled copies of the 4 dimensional (4D) 120 vertex 720 edge H4 600-cell. While folding an 8D object into a 4D one is done by applying the dot product of each vertex to a 4x8 folding matrix, we use an 8x8 rotation matrix to produce four 4D copies of H4 600-cells, with the original two left side scaled 4D copies related to the two right side 4D copies in a very specific way. This paper will describe and visualize in detail the specific symmetry relationships which emerge from that rotation of E8 and the emergent fourfold copies of H4. It will also introduce a projection basis using the Icosahedron found within the 8x8 rotation matrix. It will complete the detail for constructing E8 from the 3D Platonic solids, Icosians, and the 4D H4 600-cell. Eight pairs of Phi scaled concentric Platonic solids are identified directly using the sorted and grouped 3D projected vertex norms present within E8.
Category: Mathematical Physics

[2] viXra:1808.0089 [pdf] submitted on 2018-08-07 18:13:31

Inertial Beam Thermonuclear AB Reactor

Authors: Alexander Bolonkin
Comments: 10 Pages.

Author offers a new impulse beam hole thermonuclear reactor. Reactor has the following features: one has a power high-current pulse ion accelerator using the thermonuclear fuel (for example, Deuterium) as ions. Accelerator focuses the ion beam into very small focus. The very small fuel capsule covered by shell from heavy and strong elements. The shell has a small hole for fuel beam from accelerator. The capsule contains a solid fuel (example, LiD). The theory and computation give conditions when will be ignition and developing the high intensity thermonuclear reaction. The suggested reactor is small, non-expensive and allows to make small engines.
Category: Mathematical Physics

[1] viXra:1808.0054 [pdf] submitted on 2018-08-04 09:50:52

Applying the Vector-Tensor-Scalar Relationship to the Higgs Boson and Perihelion Precession (Extending the Previous Submission to Bohr-Dom)

Authors: Rodney Bartlett
Comments: 7 Pages. CITE - https://doi.org/10.6084/m9.figshare.6934223.v1

The Danish physicist Niels Bohr is reported to have said last century, "Your theory is crazy, but it's not crazy enough to be true." This article reaches a final conclusion that is, in a word, crazy. But the conclusion appears to be inescapable if mathematics has any value. So maybe the article is crazy enough to be true. It speaks of an equivalence between quantum particles and macroscopic objects via the vector-tensor-scalar relationship. That relationship also proposes a supersymmetry between fermions and bosons, explaining the quantum spin of both. Then it addresses the subjects of other large-scale dimensions and negative energy (the masses in other dimensions would be an easy solution to the "dark matter" problem this dimension has). Finally, Archimedes and Kepler combine to show that the vector-tensor-scalar relationship can substitute Earth (when considered as a whole) for the Higgs boson and extend it into the infinite and eternal Unified Field of the Block Universe Albert Einstein believed in.
Category: Mathematical Physics