## Sunday, April 23, 2006

### Concepts of the Fifth Dimension

"Yet I exist in the hope that these memoirs, in some manner, I know not how, may find their way to the minds of humanity in Some Dimensionality, and may stir up a race of rebels who shall refuse to be confined to limited Dimensionality." from Flatland, by E. A. Abbott

Oskar Klein
September 15, 1894 - February 5, 1977

Dealing With a 5D World

A black hole is an object so massive that even light cannot escape from it. This requires the idea of a gravitational mass for a photon, which then allows the calculation of an escape energy for an object of that mass. When the escape energy is equal to the photon energy, the implication is that the object is a "black hole."

Herein, I also make the assumption:

The Spacetime Fabric, "is" the Fifth dimension.

Now of course, how do such assumptions make their way into my thinking and visualizations that I do? The seeing, of what mathematics and it's symbology had done for those who might see the geometry of expression, as a very vital way of thinking in the abstract world of mind, analogous, to the computer screen in front of us?

Juan Maldacena:

The strings move in a five-dimensional curved space-time with a boundary. The boundary corresponds to the usual four dimensions, and the fifth dimension describes the motion away from this boundary into the interior of the curved space-time. In this five-dimensional space-time, there is a strong gravitational field pulling objects away from the boundary, and as a result time flows more slowly far away from the boundary than close to it. This also implies that an object that has a fixed proper size in the interior can appear to have a different size when viewed from the boundary (Fig. 1). Strings existing in the five-dimensional space-time can even look point-like when they are close to the boundary. Polchinski and Strassler1 show that when an energetic four-dimensional particle (such as an electron) is scattered from these strings (describing protons), the main contribution comes from a string that is close to the boundary and it is therefore seen as a point-like object. So a string-like interpretation of a proton is not at odds with the observation that there are point-like objects inside it.

(Wikipedia 23 April 2006)
Similarly, in general relativity, the fourth dimension is manifested in observable three dimensions as the curvature of path of a moving infinitesimal (test) particle. 't Hooft has speculated that the fifth dimension is really the spacetime fabric.

Linked paragraph above was pointed out to a link you to further thoughts on this. It was a strange revelation of sorts to think that such a process could lead you to such thinking, as well, as leading one to understand how General Relativity becomes a result of of String theory.

It just made so much sense as I watched this developement take place in this geometrical extension of thought, that to a beginning, from a point to a line to a plane, was raised in mind, as a short cut to the brane world understandings. I really do not undertsand how I made this jump, but never the less, it took me to a fifth dimensional referencing.

The work of Banchoff helped in this understanding. In using image production, our 2d computer screens, as example, shows the work we are doing in the abstract space of mind.

While I am still ever the student, such thinking moved from the ideas of General Relativity, and it's geoemtrical nature, moves one into the dynamical regions of thought. Held, in regards to those curvatures. I just tend to see them in this way after understanding the "geometrical nature." So too, the undertanding of General Relativity means, and in this assumption, "gravity" becomes the terminology that I see in the dynamcis of that universe.

Can I help seeing the thought of humanity so capable in the mind, to relate choices to the heart and the feather weighting truth, that I also had come to see the gravity of that situation? IN such thoughts, Einsteins analogy of the Pretty girl always come to mind. It was a conceptual leap of sorts, as well as beautifully laid out model of GR as to our understanding in terms of what gravity means.

From strong to weak, and all the understanding of the place, where a flat plane of which no gravity exists, is a place where such transitions take place in my mind. Is this true or not? The very thinking of brane developement lead me to think in a 2 dimensional framework, yet I am well aware of the fifth dimensional views that this framework supplies. Is it wrong? I would have to rely on competent readers of the Brane world to have them say ye or nay, as to the thoughts being portrayed here.

(Wikipedia 23 April 2006)
In physics and mathematics, a sequence of N numbers can be understood to represent a location in an N-dimensional space. When N=5, one of these numbers is sometimes colloquially called the fifth dimension. This usage may occur in casual discussions about the fourth dimension, which, in the context of physics, refers to time, coming after the first three spatial dimensions (up/down, left/right and forwards/backwards). Abstract five-dimensional space occurs frequently in mathematics, and is a perfectly legitimate construct. Whether or not the real universe in which we live is somehow five-dimensional is a topic that is debated and explored in several branches of physics, including astrophysics and particle physics.

Lisa Randall:
My most recent research is about extra dimensions of space. Remarkably, we can potentially "see" or "observe" evidence of extra dimensions. But we won't reach out and touch those dimensions with our fingertips or see them with our eyes. The evidence will consist of heavy particles known as Kaluza-Klein modes that travel in extra-dimensional space. If our theories correctly describe the world, there will be a precise enough link between such particles (which will be experimentally observed) and extra dimensions to establish the existence of extra dimensions. Dangling Particles,By LISA RANDALL, Published: September 18, 2005 New York Yimes

The extensions beyond what we had always taken for meaning as "seeing," is the undertanding that all 3 space coordinated directions with time, are embedded in some "design" beyond that frame of reference held to General Relativity. If it wasn't, how could anything working beyond this, be found as a coordinated result?

(Wikipedia 23 April 2006)

Figure 2. Clebsch's Diagonal Surface: Wonderful