Two Time Dimensions: Understanding the Possibilities & Problems

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SUMMARY

The discussion centers on the theoretical implications of two time dimensions, specifically referencing the SO(2,3) symmetry. This concept allows for time-rotations and the potential for connecting causally disconnected events through light cones. Itzhak Bars's work on "two-time physics," which is linked to the SO(10,2) symmetry in M-theory, is highlighted as a significant development in this area. The conversation emphasizes the need to understand the problems that arise from such theories rather than delving into non-mainstream science.

PREREQUISITES
  • Understanding of SO(2,3) symmetry
  • Familiarity with light cones and causality in physics
  • Knowledge of Itzhak Bars's "two-time physics"
  • Basic concepts of M-theory and F-theory
NEXT STEPS
  • Research the implications of closed timelike curves in theoretical physics
  • Explore the relationship between SO(10,2) symmetry and M-theory
  • Investigate the philosophical implications of multiple time dimensions
  • Study existing literature on the challenges posed by two-time physics
USEFUL FOR

The discussion is beneficial for theoretical physicists, cosmologists, and anyone interested in advanced concepts of time and symmetry in physics.

ChrisVer
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I am pretty sure this question must have been asked before... However I was always wondering, what would a theory be like if we allowed to have two time-dimensions (so I think a SO(2,3) symmetry). In general this would allow time-rotations / rotations of the arrow of time, so I guess the light cones could also connect casually disconnected events.
What problems would that cause?
I am also asking because even at the extra dim cases (although this is a little off the SR/GR topic) we choose the extra dimensions -the ones we compactify- to be spatial ones, and not time...
 
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Closed timelike curves arise, for instance.
 
The wiki left me with the idea that it's a considerate theory...
Itzhak Bars's work on "two-time physics", inspired by the SO(10,2) symmetry of the extended supersymmetry structure of M-theory, is the most recent and systematic development of the concept (see also F-theory).
At least makes me think of that.
However I am not trying to get into non-mainstream science talk and stuff...rather understanding what's the problems arising from it...
 

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