Geometry in theoretical physics: alternatives having been tried ?

Click For Summary
SUMMARY

The discussion centers on the exploration of theoretical physics beyond traditional dimensions, specifically through string theory, which extends the dimensional framework from 4 to 11. Participants express interest in whether more radical approaches, such as challenging the triangular inequality in metric spaces, have been previously explored. The notion that spacetime may not adhere to metric space properties at the quantum foam level is highlighted as a significant area of inquiry. The conversation suggests that breaking established axioms could yield more intriguing insights than merely adding dimensions.

PREREQUISITES
  • Understanding of string theory and its implications on dimensions.
  • Familiarity with metric spaces and the triangular inequality.
  • Knowledge of quantum foam and its relevance in theoretical physics.
  • Basic principles of theoretical physics and mathematical frameworks.
NEXT STEPS
  • Research the implications of breaking the triangular inequality in theoretical physics.
  • Explore existing literature on quantum foam and its impact on spacetime theories.
  • Investigate alternative theories to string theory that propose different dimensional frameworks.
  • Study the mathematical foundations of metric spaces and their role in defining distance in physics.
USEFUL FOR

The discussion is beneficial for theoretical physicists, mathematicians, and researchers interested in advanced concepts of spacetime, dimensionality, and the foundational principles of physics.

lalbatros
Messages
1,247
Reaction score
2
String theory opened the barrier of 4 dimensions up to 11.
This is a step outside common sense that apparently opened new horizons.

I would be interrested to know if larger steps have already been tried and if papers are available on these attempts.

For example, I have the feeling that challenging the triangular inequality would be the most audacious.
Did some physicist try to imagine the consequences of such hypothesis?

By the way, I would find it much more interresting to break such an axiom, than adding up new dimensions ...
 
Physics news on Phys.org
In mathematics, a metric space is a space in which the triangle equality holds (which is the only thing needed in order to sensibly define distance). Many people believe that on some "quantum foam" level, spacetime is not a metric space.
 

Similar threads

Graduate Discussion of "Two-Time Physics" (I. Bars) and its potential cosmological implications
  • · Replies 1 ·
Replies
1
Views
4K
Graduate A little rant about theoretical physics....
  • · Replies 11 ·
Replies
11
Views
3K
I can't find a PhD in theoretical physics after 6 months of trying
  • · Replies 37 ·
2
Replies
37
Views
8K
Graduate What kind of evidence do we have for extra dimenisons?
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Trying To Conceptualize Two Dimensions Of Time
  • · Replies 2 ·
Replies
2
Views
6K
Graduate The Wolfram Model & Wolfram Physics Project
  • · Replies 42 ·
2
Replies
42
Views
9K
Graduate Differential Forms or Tensors for Theoretical Physics Today
  • · Replies 70 ·
3
Replies
70
Views
17K
Graduate Geometry of Classical Physics in terms of Gauge Theory geometry?
  • · Replies 2 ·
Replies
2
Views
2K
Courses What math would I need? (physics-math double major interested in THEP)
  • · Replies 7 ·
Replies
7
Views
2K
Graduate Explaining the Hubble tension with fundamental physics
  • · Replies 6 ·
Replies
6
Views
5K