Two Time Dimensions: Understanding the Possibilities & Problems

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Discussion Overview

The discussion explores the concept of having two time dimensions within theoretical frameworks, particularly considering the implications of such a model on causality and the structure of spacetime. Participants examine potential problems and challenges that may arise from this idea, as well as references to existing theories and literature.

Discussion Character

  • Exploratory
  • Debate/contested
  • Technical explanation

Main Points Raised

  • One participant proposes that allowing two time dimensions could lead to time-rotations and the possibility of connecting causally disconnected events, raising questions about the implications for light cones.
  • Another participant suggests that closed timelike curves could emerge from the introduction of a second time dimension.
  • A later reply references Itzhak Bars's work on "two-time physics," linking it to the SO(10,2) symmetry and M-theory, while expressing a desire to focus on the problems arising from the concept rather than delving into non-mainstream science.
  • One participant directs others to a Wikipedia article for further reading, indicating a preference for established sources over speculative discussions.

Areas of Agreement / Disagreement

Participants express varying levels of interest and concern regarding the implications of two time dimensions, with some acknowledging potential theoretical developments while others caution against straying into non-mainstream science. The discussion remains unresolved with multiple competing views on the feasibility and consequences of such a theory.

Contextual Notes

Participants do not reach consensus on the implications of two time dimensions, and there are references to existing theories that may not be universally accepted. The discussion includes assumptions about the nature of time and causality that are not fully explored.

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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