Can we view the string theory as defined on special 2-D time?

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SUMMARY

The discussion centers on the interpretation of string theory within a two-dimensional time framework, specifically examining the coordinates of points Xμ as dependent on parameters (\tau1, \tau2). It establishes that if τ2 is infinite, the string is classified as open, while a finite τ2 indicates a closed string. The conversation contrasts the "worldsheet point of view" with the traditional 4D or 10D spacetime perspective, emphasizing that a system with a singular past and future maintains only one time parameter. The mention of theories with varying signatures, such as F-theory, does not imply a dual-time framework.

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The discussion is beneficial for theoretical physicists, string theorists, and advanced students interested in the complexities of time dimensions in string theory.

Osiris
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Since now time is 2-dimensional, coordinates of points X[tex]\mu[/tex] are dependent on both ([tex]\tau[/tex]1, [tex]\tau[/tex]2), and
if [tex]\tau[/tex]2 is infinite, it's a open string;
if [tex]\tau[/tex]2 is finite, it's a closed string.


How do you think so?
 
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It is so, but it is not a second time, just a parameter, let's call sigma (for "space"). What you say is called the "worldsheet point of view", as oppossed to the 4D (or 10D) "space time point of view".
 
As long as a (any) system has only one past and one future, it will have just one time parameter. There may be theories with signatures like (- - + + +...) - as in F-theory - but that alone does not mean it is a two-timed theory.
 

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