I Interpretation of (X,T) coordinates in Kruskal diagram

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The discussion focuses on the interpretation of (X, T) coordinates in Kruskal diagrams, specifically how they relate to observers free-falling near a black hole's event horizon. It is noted that while these coordinates are convenient for such observers, they are not inherently Minkowski coordinates unless transformed appropriately. The concept of "naturally used" coordinates is debated, with suggestions that they should align with the observer's local inertial frame. Additionally, the proper time of the observer is clarified as distinct from the coordinate time T, which has led to confusion in the original text. Overall, the conversation emphasizes the need for careful interpretation of these coordinates within the context of general relativity.
  • #31
Sagittarius A-Star said:
I can't find in the video the following of what you quoted in the OP from the book
Me too. That statement is still a mystery to me.
 
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  • #35
Sagittarius A-Star said:
It seems that Susskind uses the same capital letters X, T for both, the locally applied standard Minkowski diagram in your posting #12 and the Kruskal diagram in your posting #8, which includes the upper quadrant containing the singularity.
I think that this is just what he does.
 

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