Mathematical Physics

0908 Submissions

[3] viXra:0908.0073 [pdf] replaced on 2017-07-05 17:02:25

A Treatise on Information Geometry

Authors: Christopher Goddard
Comments: 301 Pages. From the ResearchGate listing, per the article: https://www.researchgate.net/publication/266582092

In early 1999, Professor Frieden of the University of Arizona published a book through Cambridge University Press titled "Physics from Fisher Information". It is the purpose of this dissertation to further develop some of his ideas, as well as explore various exotic differentiable structures and their relationship to physics. In addition to the original component of this work, a series of survey chapters are provided, in the interest of keeping the treatise self-contained. The first summarises the main preliminary results on the existence of non-standard structures on manifolds from the Milnor-Steenrod school. The second is a standard introduction to semi-riemannian geometry. The third introduces the language of geometric measure theory, which is important in justifying the existence of smooth solutions to variational problems with smooth structures and smooth integrands. The fourth is a short remark on PDE existence theory, which is needed for the fifth, which is essentially a typeset version of a series of lectures given by Ben Andrews and Gerhard Huisken on the Hamilton-Perelman program for proving the Geometrisation Conjecture of Bill Thurston.
Category: Mathematical Physics

[2] viXra:0908.0045 [pdf] submitted on 10 Aug 2009

Cylindrical Wave, Wave Equation, and Method of Separation of Variables

Authors: Hamid V. Ansari
Comments: 7 pages

It is shown that the wave equation cannot be solved for the general spreading of the cylindrical wave using the method of separation of variables. But an equation is presented in case of its solving the above act will have occurred. Also using this equation the above-mentioned general spreading of the cylindrical wave for large distances is obtained which contrary to what is believed consists of arbitrary functions.
Category: Mathematical Physics

[1] viXra:0908.0001 [pdf] submitted on 1 Aug 2009

New Calculuses

Authors: Vladislav Konovalov
Comments: 12 pages

In the article the new calculuses are offered similar differential and integral, but differing, that in them the analysis of the previous and subsequent values of a function is made. The new calculuses allow to decide problems, the solution which one with usage customary differential and integral calculus is impossible.
Category: Mathematical Physics