Tuesday, June 29, 2010

What Do You Do With A Super Sore Toe

Fractals, empty and beautiful quantum theories


" Clouds are not spheres, mountains are not cones, and lightning does not travel in straight lines. The complexity of the forms of nature differs essentially from that of the shapes of ordinary geometry , are forms of fractal geometry .
From Introduction to The Fractal Geometry of Nature (B. Mandelbrot)

Years ago I read the book "The fractal objects" by Benoit Mandelbrot, a classic on this new discipline. In the back saying fractals that allow us to meet virtually any discipline in a new way, providing a new perspective and expertise in the same . I drew wide attention from the beginning and started with simple programs to view them. With very few instructions the program I introduced into a new world of incredible wealth. So I spent a while until one day, concentrating on the characteristics essential simplest fractals such as the coasts, I noticed some similarities, at the time of measuring them with the actions we perform the quantum vacuum energy.


simple relationship in the fractal characteristics of its development distances to calculate its fractal dimension. In the figure Koch curve, we note that each side of length 3 is replaced by a broken line of length 4, the next iteration. The fractal dimension of the curve is log 4 / log 3 = 1.26186 ... Based on the ratio of lengths. Similarly, what could be the scale to relate to calculate the fractal dimension the quantum vacuum?. In the vacuum, the scalar determinant of its structure is called virtual power , based on it as the distances decrease its value increases, because their magnitudes are inversely related. That is why we need enormous energy to study the structure of extremely small distances each time particle accelerators have to be huge.

Based on these simple considerations and taking into account the corrections that I detail in the entry " The natural measure of things " I found the value 9 ( 3 dim. + 6 coef. dimensional) for the fractal dimension spatial vacuum quantum fluctuations. This value coincided with the overall dimensions predicted by superstring theories , which in some way mean that the quantum fluctuations of vacuum would be able to cover a space of 9 dimensions of space, or space-time of 10 dimensions.


Based on these results, however, found that these fluctuations distarían much to flush as we know, almost flat and stable, capable of holding the subject and providing a framework of stability to the universe we know. Deepening I noted (it is still theoretical, since later) that a kind of transition happening in matching the number of compact (6 dimensions) with the dimensional ratio (equal to 6) ( see an outline of this idea ). In this transition were masked the 6 extra dimensions and "forged" stable and flat space we know. Without it, our universe would have been uninhabitable and barren. Quantum fluctuations do not depend on the inverse distance and prevent the existence of the stability necessary for foreign matter particles or even stable. The world and the beauty in it would not have been possible. Not exist, neither we nor any beauty that we are able to observe.



That idea was what led me in a moment of "feeling important" to call this possibility theory: "The beautiful theory."



Now that this blog is playing possibly his last I discover the true origin of its name. A hug friends.

0 comments:

Post a Comment