Can 11-Dimensional Theories Accommodate Chirality?

  • Context: Graduate 
  • Thread starter Thread starter m_brain
  • Start date Start date
  • Tags Tags
    Chirality
Click For Summary
SUMMARY

The discussion centers on the viability of 11-dimensional theories in accommodating chirality, as critiqued in the book "_Superstrings: A Theory of Everything?" by Davies and Brown. They argue that chirality, a fundamental aspect of weak interactions, necessitates an odd number of dimensions for elementary particles to possess definite handedness. Consequently, they conclude that 11-dimensional spacetime is incompatible with chirality. However, the moderator points out that M-theory, particularly when compactified on singular G_2 manifolds or two-torus, can yield chiral theories, suggesting that 11 dimensions may still have relevance under specific conditions.

PREREQUISITES
  • Understanding of M-theory and its implications in theoretical physics
  • Familiarity with chirality and its role in particle physics
  • Knowledge of dimensional theories and their mathematical frameworks
  • Concepts of compactification in string theory
NEXT STEPS
  • Research M-theory compactified on singular G_2 manifolds
  • Explore the implications of chirality in particle physics
  • Study the mathematical foundations of dimensional theories
  • Investigate the role of two-torus in M-theory and its asymmetry
USEFUL FOR

The discussion is beneficial for theoretical physicists, string theorists, and researchers interested in the intersection of dimensional theories and particle chirality.

m_brain
I just read a book by Davies and Brown entitled
"_Superstrings:_A_Theory_of_Everything_?"

They dismiss 11D theory as having a fatal flaw: -"A distinctive element
of the weak interaction is that it breaks left-right mirror symmetry.
This implies that elementary particles must be endowed with a definite
handedness, or 'chirality'...It turns out that definite chirality only
exists in spaces with an odd number of dimensions. This means that
space must have an odd number of dimensions, and hence spacetime must
have an even number of dimensions, otherwise there would be no
chirality in the laws of nature. In short, eleven spacetime dimensions
won't work."-

Any thoughts?

[Moderator's note: While it's true that M-theory on smooth spaces gives
left-right symmetric physics, M-theory compactified on singular spaces
generically leads to asymmetric, chiral theories. This is why M-theory
on singular G_2 manifolds offers realistic backgrounds that may match
reality. Another way how chiral, asymmetric theories can occur from
M-theory is in the context of M-theory on two-torus which is not a
9-dimensional symmetric theory but a 10-dimensional asymmetric one. LM]

--
m_brain
------------------------------------------------------------------------
m_brain's Profile: https://www.physicsforums.com/forums/member.php?action=getinfo&userid=24458
View this thread: https://www.physicsforums.com/showthread.php?t=66834
 
Last edited by a moderator:
Physics news on Phys.org
What are some of the better reasons?

Crosson Wrote:

> There are better reasons for why 11 dimensional spacetime is rediculous.
>
>
> Sure Einstein overthrew classical space and time single handedly, but
> he was guided by evidence and physical principles.
>
> Remember that scientific theories are not "correct", they only serve to
> organize our observations (according to organizational principles.)
> Therefore, its not that the universe has 11 dimensions, its that the
> best way to explain the universe is using 11 dimensions. And to me, 11
> dimensions is not a very good way to explain anything (begs more
> questions than it resolves).[/color]--
m_brain
------------------------------------------------------------------------
m_brain's Profile: https://www.physicsforums.com/forums/member.php?action=getinfo&userid=24458
View this thread: https://www.physicsforums.com/showthread.php?t=66834
 
Last edited by a moderator:

Similar threads

  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 21 ·
Replies
21
Views
7K
  • · Replies 0 ·
Replies
0
Views
4K
  • · Replies 2 ·
Replies
2
Views
5K
  • · Replies 3 ·
Replies
3
Views
4K
  • · Replies 24 ·
Replies
24
Views
6K
Replies
2
Views
2K
  • · Replies 7 ·
Replies
7
Views
6K
  • · Replies 26 ·
Replies
26
Views
6K
  • · Replies 1 ·
Replies
1
Views
3K