High School Is the 10 Dimensional Poincaré Group a Coincidence?

  • Thread starter Thread starter Paige_Turner
  • Start date Start date
  • Tags Tags
    Group Poincare
Click For Summary
The Poincaré group and M-theory both feature 10 dimensions, but this is considered a coincidence rather than a direct correlation. M-theory encompasses various concepts and does not adhere to a single defined dimension. It generalizes string theories that utilize super Lie algebras, while the Poincaré group is based on a classical Lie algebra that is not semisimple. The discussion highlights the complexity of defining coincidences in theoretical physics without additional context. Overall, the relationship between the two remains ambiguous and requires further clarification.
Paige_Turner
Messages
44
Reaction score
9
TL;DR
The Poincaré group and M-theory both have 10 dimensions
Is this a coincidence?
 
Physics news on Phys.org
Paige_Turner said:
Summary:: The Poincaré group and M-theory both have 10 dimensions

Is this a coincidence?
Yes. And there isn't even a defined single dimension for an M-theory, since there are several different concepts unified in M-theory. In any case, M-theory generalizes string theories, which involve super Lie algebras. The Poincaré group has a classical Lie algebra and moreover isn't semisimple.
 


Well, it depends on what you're referring to as a coincidence. Can you provide more context or information? Without more details, it's difficult to say whether or not something is a coincidence.
 

Thread 'About the definition of topological manifold using closed sets'

We all know the definition of n-dimensional topological manifold uses open sets and homeomorphisms onto the image as open set in ##\mathbb R^n##. It should be possible to reformulate the definition of n-dimensional topological manifold using closed sets on the manifold's topology and on ##\mathbb R^n## ? I'm positive for this. Perhaps the definition of smooth manifold would be problematic, though.
View full post »

Similar threads

High School Confusion with the basics of Topology (Poincare conjecture)
  • · Replies 2 ·
Replies
2
Views
3K
Undergrad Formulating the Poincare group and its double cover
  • · Replies 4 ·
Replies
4
Views
1K
Undergrad Why are discontinuous Lorentz transformations excluded from the Poincare group?
  • · Replies 27 ·
Replies
27
Views
4K
Clarification about Poincaré's conjecture
  • · Replies 26 ·
Replies
26
Views
3K
Graduate Question about the Poincaré conjecture
  • · Replies 3 ·
Replies
3
Views
2K
Visualizing the Poincare Disc: Understanding its Limits
  • · Replies 4 ·
Replies
4
Views
3K
Quantum Good sources for the representations of the Poincare group?
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Generators of translations
  • · Replies 0 ·
Replies
0
Views
2K
Undergrad ##SL(2,\mathbb R)## Lie group as manifold
  • · Replies 12 ·
Replies
12
Views
3K
Study Resources for my Classical Fields Theory exam
  • · Replies 4 ·
Replies
4
Views
2K