This page was translated from Spanish with the help of Google, October 28, 2008

Transfinite Dimensional Space, Continuum Dimensional Space, Dynamical Dimensional, dimension-value spaces, fractal dimension, wave physics and quantum physics, fractals, Mathematics Informatics
Transfinite-Dimensional Spaces

and Dynamical Dimensional:

A Fractal Universe

English http://www.fgalindosoria.com/en/transfinite_and_dinamical_dimensional/

Español http://www.fgalindosoria.com/transfinitoydinamicadimensional/

Page dedicated to the study of spaces that have at least so many dimensions as the cardinality of the real numbers and in particular to the study of continuum-dimensional spaces (spaces that have so many dimensions as the cardinality of the real numbers).

And the study of the dynamical dimensional, that investigates objects and spaces that do not have a fixed number of dimensions and that are permanently changing the number of its dimensions.

The spaces may have a discrete number, fractal, continuous, complex of dimensions

Fernando Galindo Soria

English(www.fgalindosoria.com/en/ ) Español(www.fgalindosoria.com )

fgalindo@ipn.mx

Red de Desarrollo Informatico REDI www.LaRedi.com

www.fgalindosoria.com/en/, Home, Articles, Evolutionary Matrices and Dynamical Dimensional

Links to Background and Basis of Transfinite Dimensional and Dynamical Dimensional

Cd. De México a 21 de Octubre del 2001

ultimas actualizaciones 6 de Abril del 2007, 9 de Abril del 2008, 25 de Octubre del 2008

English version, October 28, 2008

Transfinito Dimensional Transfinite-Dimensional and Dynamical Dimensional

A Fractal Universe

De Fractales y otros Bichos In Fractals and other Bichos

Enfoque Lingüístico y Lingüística Matemática Language and Linguistics Mathematics Approach

Ecuación de la Naturaleza Equation of Nature

S -> e* S* S -> e * S *

Evolución y Sistemas Evolutivos , Evolution and Evolutionary Systems, Sistemas Afectivos y Concientes Aware and systems affected

Industria del Conocimiento Industry Knowledge

Administración del Desarrollo Development Administration y and Alta Dirección Senior Management

Administración e Investigación sobre Investigación y Desarrollo Management and Research and Development Research

Informática Informatics

Personajes Fundamentales de la Informática Fundamental character of Computing

Informática Educativa Computer Education

Notas de Investigación : Research Notes

Transmisión instantánea de información Instant Information Transmission

Portal Portal de of Conocimiento Knowledge

Ligas Links

Estadísticas Mundiales Global statistics

Eventos tecnológicos Technology Events

Eventos culturales Cultural events

Arte Efímero Ephemeral art e e Intangible Intangible

Arte y Entretenimiento Arts & Entertainment

México Mexico

Cd. de México Mexico City

Literatura Literature

Música Music

Historia y Efemérides History & Events

crea tu página create your page

CD de Informática CD Information 2005i 2005i

With the term “Transfinite Dimensional” we refer to the area to study spaces that have a transfinite number of dimensions, and in particular to the study of Continuum Dimensional spaces (spaces that have so many dimensions as the cardinality of the real numbers).

The spaces with a number transfinite of dimensions, or transfinite dimensional spaces emerge as a generalization of Euclidean spaces, the spaces of Riemann (n-dimensional spaces with curvature), Hilbert spaces (spaces with an infinite number of dimensions) and generalize the study of the continuum dimensional spaces (spaces that have so many dimensions as the cardinality of the real numbers), as it explores the spaces which have a cardinality-dimension greater than the cardinality of the natural numbers)

The Dynamical Dimensional Investigates objects and spaces that do not have a fixed number of dimensions and that are constantly changing the number of its dimensions.
The spaces may have a discrete number, fractal, transfinito, complex of dimensions

Is introduced

the concept of space <dimension, value> or <d, v>, where for example, objects that are usually represented as dots and curves into a multidimensional space are displayed in space <dimension, value>, as a set of points in two dimensions, in the first place are the numbers of the original dimensions and the second the values that takes aim at those dimensions.

a point in a continuum dimensional is represented as a number transfinite of points in a space <dimension, value>.
This allows us for example, postulate that we have a way to see indistinctly phenomena whose behavior is at the same time

wave and quantum, or that behave as waves and particles (like light), as a continuum of points (wave of light) or as a point on a continuum dimensional (where, what we perceive as light, is a projection of the continuum dimensional to our perception of space).

www.fgalindosoria.com/en/, Home, Articles, Evolutionary Matrices and Dynamical Dimensional

Links to Background and Basis of Transfinite Dimensional and Dynamical Dimensional

ARTÍCULOS

Transfinito Dimensional Transfinite-Dimensional and Dynamical Dimensional

A Fractal Universe

De Fractales y otros Bichos In Fractals and other Bichos

Enfoque Lingüístico y Lingüística Matemática Language and Linguistics Mathematics Approach

Ecuación de la Naturaleza Equation of Nature

S -> e* S* S -> e * S *

Evolución y Sistemas Evolutivos , Evolution and Evolutionary Systems, Sistemas Afectivos y Concientes Aware and systems affected

Industria del Conocimiento Industry Knowledge

Administración del Desarrollo Development Administration y and Alta Dirección Senior Management

Administración e Investigación sobre Investigación y Desarrollo Management and Research and Development Research

Informática Informatics

Personajes Fundamentales de la Informática Fundamental character of Computing

Informática Educativa Computer Education

Notas de Investigación : Research Notes

Transmisión instantánea de información Instant Information Transmission

Portal Portal de of Conocimiento Knowledge

Ligas Links

Estadísticas Mundiales Global statistics

Eventos tecnológicos Technology Events

Eventos culturales Cultural events

Arte Efímero Ephemeral art e e Intangible Intangible

Arte y Entretenimiento Arts & Entertainment

México Mexico

Cd. de México Mexico City

Literatura Literature

Música Music

Historia y Efemérides History & Events

crea tu página create your page

CD de Informática CD Information 2005i 2005i

Notes about transfinitos dimensional spaces

página html html page

Acerca del Continuo Dimensional: Un universo Fractal About Dimensional Continuo: A Fractal Universe

página html html page documento en Word Word document documento en pdf pdf document

En este trabajo se presenta el espacio continuo dimensional, como un espacio en el cual se tienen tantas dimensiones como números reales, es decir es un espacio donde no se tienen 1,2,..on dimensiones sino un numero transfinito de dimensiones y que se puede ver como un continuo de dimensiones en forma parecida a como una recta se ve como un continuo de puntos. In this work continued dimensional space as a space in which there are many dimensions such as real numbers, that is is a place where there are no 1.2, .. but on a scale transfinito number of dimensions and that can be seen as a continuum of dimensions similar to a line is seen as a continuum of points.

Como primer punto y con el fin de dar contexto a la idea se parte de los conceptos de fractal y de dimensión fractal y se muestran algunos ejemplos tomados de la Física, donde el concepto de dimensión fractal es fundamental, ya que se ha encontrado que existen objetos y fenómenos cuyo comportamiento depende de su dimensión fractal. As a first point and to give context to the idea of the concepts of fractal and fractal dimension and are some examples from physics, where the concept of fractal dimension is crucial, since it was found that there objects and phenomena whose performance depends on its fractal dimension.

Mas adelante se ven algunas de las técnicas que se manejan para encontrar la dimensión fractal y se muestra que para cualquier numero real xe [0,1] existe un objeto fractal que tiene dimensión x. Below are some of the techniques that are managed to find the fractal dimension and shows that for any real number xe [0,1] is an object that has fractal dimension x.

Finalmente se generaliza la idea y se plantea que el numero de dimensiones que existen son tantas como los numero reales y conforman el continuo dimensional. Finally generalises the idea and raised the number of dimensions that there are as many as the actual number and size up the continuum.

I ntroducción al espacio dimensión-valor Introduction value-space dimension

Articulo ARTICLE página html html page documento en Word Word document documento en pdf pdf document

Acetatos Acetates página html html page documento en Word Word document documento en pdf pdf document

Se introduce el concepto de espacio <dimensión, valor> o <d, v>, donde por ejemplo, objetos que normalmente se representan como puntos y curvas en un espacio multidimensional se visualizan en el espacio <dimensión, valor> como un conjunto de puntos en dos dimensiones, en la primera se colocan los números de las dimensiones originales y en la segunda los valores que toma el objeto en esas dimensiones. Introduces the concept of space <dimensión, valor> or <d, v> where, for example, objects that are usually represented as points and curves in a multidimensional space are displayed in space <dimensión, valor> as a set of points in two dimensions, in the first place the numbers of the original dimensions in the second and values that takes aim at those dimensions.

Por ejemplo un objeto que se ve normalmente como un punto en un espacio de tres dimensiones se representa como tres puntos en el espacio <dimensión, valor>, un punto en 4 dimensiones como 4 puntos en <d, v>, un punto caracterizado por 5 dimensiones se ve como 5 puntos en ese espacio y en fin un punto en n dimensiones como n puntos en <dimensión, valor> . For example an object which is normally as a point on a three-dimensional space is represented as three points in space <dimensión, valor>, a 4-point scale as 4 points in <d, v>, characterized by a point 5 dimensions is seen as 5 points in that space and an end point in n dimensions as n <dimensión, valor> points.

Aun más, un punto en un continuo dimensional se representa como un numero transfinito de puntos en el espacio <dimensión, valor> . Moreover, a continuous one-dimensional point is represented as a number of points in transfinito space <dimensión, valor>.

Tal vez una de las aplicaciones mas interesantes de esta idea se presente en el área de la Física y en particular en su relación entre la Mecánica Cuántica y la Ondulatoria, ya que precisamente uno de los problemas de la investigación actual se presenta en el hecho de que existen fenómenos cuyo comportamiento es al mismo tiempo ondulatorios y cuánticos o sea que se comportan como ondas y como partículas o cuantos. Perhaps one of the most interesting applications of this idea is present in the area of physics and in particular the relationship between quantum mechanics and wave, as one of the problems of the current investigation is the fact that there are phenomena whose behavior is both quantum wave and so they behave like waves and particles or how many.

Y precisamente lo que se esta presentando en este trabajo nos permite por ejemplo , postular que tenemos una forma para ver indistintamente este tipo de fenómenos (como la luz) como un continuo de puntos (onda luminosa) o como un punto en un continuo dimensional (donde, lo que percibimos como cuanto de luz vendría siendo una proyección del continuo dimensional a nuestro espacio de percepción). And precisely what is being presented in this paper allows for example, we postulate that one way to do this regardless of phenomena (such as light) as a continuum of points (wavelength of light) or as a point on a continuous dimensional ( where, what we perceive as light would soon be a continuous projection dimensional space of our perception).