12-02-2010, 12:32 PM
(12-02-2010, 02:56 AM)Nabil Naser Wrote: Consider infinity. From human perspective, and it is all that we can do, what is the most logical geometry of infinity? Anything that has difference within it, can't be true infinity because it will have relationship between its parts, that are not equal, with some not being infinite in number. It is only when infinity is made of the same substance, without any variation, that true infinity can found.
The only shape that we know that can describe this infinity is a sphere.
Nabil, I am enjoying this dialog. Thanks for presenting your ideas here!
The sphere would be a logical shape, I also agree. There are many, many things in nature that also exhibit the spherical shape. Atoms can be seen as spheres (ignoring uncertaintly principals and et cetera for the moment). Also all the celestial bodies as you noted... Once an asteroid gains a diameter of about 600 miles it's own gravity crushes it in to a sphere shape "automatically". Then there are orbits, stars... I suppose perhaps galaxies may be the exception here, and super-clusters. What of these?
But overall, the geometry of a sphere has it's root in Infinity. Consider the equation π (pi). Scientists and mathematicians using super computers have calculated it's decimal places in to the trillions (literally) and have as of yet found no repeating patterns. This is also why the ancient Greek philosophers found it so troubling
More on infinity here:
http://www.youtube.com/watch?v=dG1JpC5jels
L&L, ~L