SCIENCE AND TECHNOLOGY XXI: New Physica, Physics X.0 & Technology X.0

Автор

Azamat Abdoullaev

Жанр

Физика

Год написания книги

2016

<< 1 2 3 4 5 6 7 8 9 10 ... 35 >>

На страницу:

Перейти

6 из 35

Настройки чтения

Размер шрифта

Высота строк

Поля

in R

, it is ascribed a composition function (a law of composition) R

(C

x C

) ? R

(C

x C

) = R

(C

x C

);

Then it follows that the category of force-interrelationship is to be figured as a pre-ordered category (with involution

) of two disjoint change sets, C

and C

, together with four morphisms:

,

, R(C

/ C

), and R(C

/C

).

The structure corresponds to a full graph depicted as a symmetrical graph with all the possible interrelations (arcs) between nodes (loops).

As a result, the total of force-relationships can be constructed as the totality of ordered classes of changes. Seeing that the force-relationships belong to the class of causally ordered processes, R

C x C R, the entirety of its connections will constitute the relational structure of the universe, or the physical world W:

R

<C, C x C, , ?, ,

> W

(1)

The algebra of natural force-relations on a set of change variables involves the binary operations of set union and intersection , , direct product x, the unary operations of negation

or inversion #, the order relation , and the operation of composition ?, all is liable to the laws and rules which are valid for formal relationships in general (Abdoullaev, A. (2008). What Organizes the World: N-Relational Entities. IGI Global; http://www.igi-global.com/bookstore/chapter.aspx?titleid=28313).

From Basic Force Fields to Fundamental Natural Force-Interaction

In the language of class variables, the fundamental natural force-relationship of set changes (natural, physical, or chemical) can be formulated as a system of interconnected change variables:

R

= C

C

(2)

Here indexes i and j are subject to conditions: ij=; 0 i, j n; R

is a composition of relation R such that C

R

C

= C

R C

?C

R C

. The force-relation formula indicates that the interplaying forces, or action-causes and effect-effects must be always of distinct types of changes and processes.

The relation = C

RC

C

RRC

C