Evidence for UV finiteness of M-theory?

  • Context: Graduate 
  • Thread starter Thread starter Demystifier
  • Start date Start date
  • Tags Tags
    Evidence M-theory Uv
Click For Summary

Discussion Overview

The discussion centers around the potential ultraviolet (UV) finiteness of M-theory, exploring whether there is any evidence or arguments supporting this idea. Participants express interest in theoretical aspects rather than proofs, and the conversation touches on comparisons with string theory.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant inquires about evidence for the UV finiteness of M-theory, explicitly stating they do not seek a proof but rather a substantial argument or reference.
  • Another participant notes the lack of responses, suggesting that even proponents of loop quantum gravity (LQG) might use the absence of evidence as an argument against string/M-theory.
  • A different participant references a paper discussing the construction of a superspace measure for string theory, acknowledging that this does not directly address M-theory but relates to the broader context of UV finiteness.
  • One participant questions the scale and coupling parameters of M-theory, comparing them to those in string theory and expressing uncertainty about how these concepts apply in M-theory.
  • Another participant proposes using the size of the 11th dimension to define the Planck mass scale and suggests a dimensionless coupling related to a hypothetical 12th dimension, indicating a personal interpretation of the framework.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the existence of evidence for the UV finiteness of M-theory. Multiple competing views and uncertainties regarding the theoretical framework are present.

Contextual Notes

The discussion highlights limitations in understanding the scale and coupling parameters of M-theory, as well as the challenges in drawing parallels with string theory. There are unresolved questions regarding the implications of compactification and dimensionality.

Demystifier
Science Advisor
Insights Author
Messages
14,717
Reaction score
7,311
Is there any evidence that M-theory (where M may stand for Matrix, Membrane, or whatever ...) could be UV finite? I am not asking for a proof (because I know there is none), but only for a piece of evidence or an argument which is more than a pure wish.
If you know about such evidence, an appropriate reference would be welcome. :smile:

And please, don't talk me about UV finiteness of string theory. I already know that very well, but string theory is not M-theory.
 
Physics news on Phys.org
Nobody?

Not even an LQG guy who will use it as an argument for the failure of string/M theory? :wink:
 
I studied a paper some time ago where the idea was to construct an superspace measure for string theory for 3 and 4 loops (genus) to attack this issue in string theory; afaik beyond 4 loops no results are known (I am perfectly aware of the fact that this is not really an answer to your question regarding M-theory ...)
 
Hmm. What is the scale and coupling of M-theory?

I mean, string theory has a scale (planck mass) and an adimensional constant (dilaton coupling). If I use the M-theory compactification trick to remove any of them, either I am left without any coupling to renormalize, or I am left without an scale to refer to.
 
Actually, I would use the size of the 11th dimension to define the Planck mass scale, and then use the extant dimensionless coupling to refer to some parameter in an infinitesimal 12th dimension. But this is my like; I do not know how strings theoreticians play this game.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 9 ·
Replies
9
Views
4K
  • · Replies 1 ·
Replies
1
Views
4K
  • · Replies 26 ·
Replies
26
Views
4K
  • · Replies 47 ·
2
Replies
47
Views
9K
  • · Replies 6 ·
Replies
6
Views
3K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
3K
  • · Replies 73 ·
3
Replies
73
Views
19K