Tuesday, September 30, 2008

410)Mapping E8(248-dimensional mathematical object); Islam, Mathematics, Reasoning, Symmetry, Dimensions, Symbolism: an Update; Quotes of Aga Khan IV

This post is now part of the following collection of posts:
454)A Collection of Posts on Symmetry in Nature, as a Product of the Human Mind, Geometry and Harmonious Mathematical Reasoning; Quotes of Aga Khan IV

Arif Ali's Web Wanderings Site


is a blog I find myself visiting more often lately and I recently came accross a post about E8, a 248-dimensional mathematical object some call the most complex mathematical object ever:

http://webwanderings.wordpress.com/2008/09/28/breakthrough-in-mapping-248-dimensional-object/ :

Mathematicians and computer scientists from several countries successfully mapped the inner working of E8—one of the most complicated structures in math, a 248-dimensional object.
“E8 was discovered over a century ago, in 1887, and until now, no one thought the structure could ever be understood,”

Underlying symmetrical objects such as spheres and cylinders is something called a Lie group — a mathematical group invented by the 19th century Norwegian mathematician Sophus Lie to study symmetry. E8 is an example of a Lie group.

Understanding and classifying the representations of E8 and Lie groups has been critical to understanding phenomena in many different areas of mathematics and science, including algebra, geometry, number theory, physics and chemistry.

The Link to Arif Ali's Web Wanderings site is listed in the upper right hand corner of my blog in the Suggested Links Section.

I have blogged about this E8 structure before and about geometry, symmetry, dimensions, mathematical reasoning and symbolism, especially as it pertains to the religion of Islam: The buzzwords in this vein are Tawhid, One Absolute Reality, Monorealism, Monotheism and how geometrically symmetrical objects both in nature and as created by the mind of man(Islamic Architecture) symbolically represent these fundamental principles and higher realities. Take a trip down my memory lane:

"In this context, would it not also be relevant to consider how, above all, it has been the Qur'anic notion of the universe as an expression of Allah's will and creation that has inspired, in diverse Muslim communities, generations of artists, scientists and philosophers? Scientific pursuits, philosophic inquiry and artistic endeavour are all seen as the response of the faithful to the recurring call of the Qur'an to ponder the creation as a way to understand Allah's benevolent majesty. As Sura al-Baqara proclaims: 'Wherever you turn, there is the face of Allah'.The famous verse of 'light' in the Qur'an, the Ayat al-Nur, whose first line is rendered here in the mural behind me, inspires among Muslims a reflection on the sacred, the transcendent. It hints at a cosmos full of signs and symbols that evoke the perfection of Allah's creation and mercy." (Aga Khan IV, IIS Convocation, October 19th 2003, London, U.K.)

"The Qur’an itself repeatedly recommends Muslims to become better educated in order better to understand God’s creation"(Closing Address by His Highness Aga Khan IV at the "Musée-Musées" Round Table Louvre Museum, Paris, France, October 17th 2007)




Easy Nash

The Qur'an itself repeatedly recommends Muslims to become better educated in order better to understand God's creation: Aga Khan IV(2007)
The Quran tells us that signs of Allah's Sovereignty are found in the contemplation of His Creation: Aga Khan IV(2007)
This notion of the capacity of the human intellect to understand and to admire the creation of Allah will bring you happiness in your everyday lives: Aga Khan IV(2007)
Islam, eminently logical, placing the greatest emphasis on knowledge, purports to understand God's creation: Aga Khan IV(2006)
The first and only thing created by God was the Intellect(Aql): Prophet Muhammad(circa 632CE)