[4] **viXra:1806.0178 [pdf]**
*submitted on 2018-06-12 05:32:04*

**Authors:** Vu B Ho

**Comments:** 9 Pages.

In this work we discuss further the geometric interactions resulted from the coupling of n-cells that are decomposed from CW complexes. As an illustration, we discuss whether a gravitational field can be considered as the result of a geometric and topological coupling of two decomposed sub-manifolds from CW complexes in terms of Gaussian curvatures of two-dimensional manifolds.

**Category:** Mathematical Physics

[3] **viXra:1806.0151 [pdf]**
*replaced on 2018-06-12 06:16:50*

**Authors:** Timoteo Briet Blanes

**Comments:** 14 Pages.

The fact of named one event as unpredictable, is to assume ignorance. Our goal so, is know the evolution of any object or event.
In the nature, there are many events with the same geometry, so is necessary to ask us, if there some think common for all these cases, some law able to means these examples.
That is the main goal for me and this article: know how the nature think and decides, and create language mathematics, pretty and simple, in order to explain any event.
In this article, I explain other vision of economy for example, and its evolution and also the relation between human feelings and the cosmos evolution through paths or ways. I love the knowledge and know the future based in the past.

**Category:** Mathematical Physics

[2] **viXra:1806.0139 [pdf]**
*replaced on 2018-06-11 06:36:05*

**Authors:** Spiros Konstantogiannis

**Comments:** 92 Pages.

The purpose of this work is to introduce, in a simple, intuitive way, the coherent and squeezed states of the quantum harmonic oscillator (QHO), through a series of exercises, which are solved in detail.
Starting from the application of a spatial translation to the ground state of the QHO, we introduce the spatial and momentum translations, focusing on their application to the QHO, which leads us to the displacement operator.
Next, we introduce the coherent states and examine their basic aspects.
We then proceed to give a simple and purely intuitive introduction to the squeezed states and we conclude by identifying the coherent states as states of minimum energy expectation value compared to the respective squeezed states.
The reader is assumed to have a basic knowledge of the postulates and the mathematical formalism of quantum mechanics, including the Dirac notation and the ladder operator method of the QHO.

**Category:** Mathematical Physics

[1] **viXra:1806.0026 [pdf]**
*submitted on 2018-06-03 13:30:41*

**Authors:** Abdelkader B. Zadel

**Comments:** 43 Pages.

In these papers, physicists will find the latest mathematical analysis of the results of the Michelson-Morley experiment, which was the source of all papers for Fitzgerald, Lorentz, Poincare, Minkowski and Einstein. This analyzes are the result of a study of the elastic collision theory, and are quite different from those of early physicists who have paved the way for the emergence of relativity theory. This work will discuss Fitzgerald-Lorentz's explanations and prove that they are not correct.

**Category:** Mathematical Physics