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humanino
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If you always wanted to understand how we discover new particle, Garrett Lisi gave a delightful presentation at TED of his works :
A beautiful new theory of everything
A beautiful new theory of everything
What is E(9) ?Orion1 said:What does the symmetry pattern appear like for E(9)?
humanino said:What is E(9) ?
humanino said:So with infinite dimensional Lie algebras, you would have an infinite number of interactions ?
Wikipedia said:It turns out that they mostly fall into four infinite families, the "classical Lie algebras" An, Bn, Cn and Dn, which have simple descriptions in terms of symmetries of Euclidean space. But there are also just five "exceptional Lie algebras" that do not fall into any of these families. E8 is the largest of these.
Because you will have an infinite number of generators of your algebra, hence an infinite number of gauge fields. I am just questioning whether it can be a physical proposal, because I can not imagine how one can convince oneself of the existence of an infinite number of possible interactions, considering how long and difficult it is to study just one.MTd2 said:Why are you saying that?
MTd2 said:Calling anything E(n), n>8, is an abuse of language, because an exceptional group or algebra, is at first place a simple algebra.
Orion1 said:For purposes of this thread, simply calling E(n) as an 'Element' with n dimensions, instead of an 'exceptional' Lie algebra
Orion1 said:
Correction:
A TOE stands for Theory of Everything. It is a theoretical framework that aims to explain and unify all known physical laws and phenomena in the universe.
This TOE is exceptional because it is presented in a simple and easily understandable manner. It does not require advanced mathematical knowledge to comprehend its concepts.
The simple presentation of this TOE was developed by a team of scientists and researchers who have been studying and working on the theory for many years.
At this point, the simple TOE is still a theoretical concept and has not been proven. However, it is based on existing scientific theories and evidence, making it a plausible explanation for the universe.
Understanding the TOE can have significant implications for our understanding of the universe and our place within it. It can also potentially lead to technological advancements and new discoveries in science.