World Lines Problem, axes as meters

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SUMMARY

The discussion centers on solving the World Lines Problem, specifically analyzing pairs of events (AB, AC, CB) using a graph where the horizontal axis represents spatial distance (x in meters) and the vertical axis represents time (t in meters, SR units). For part a), participants calculated the metric distance by subtracting x-axis distances, confirming the correctness of their approach. In part b), they assessed causality by drawing causality lines, which also received validation. The solutions provided are accurate and align with the principles of special relativity.

PREREQUISITES
  • Understanding of special relativity concepts
  • Familiarity with metric distances in spacetime diagrams
  • Ability to interpret and analyze graphical data
  • Knowledge of causality in physics
NEXT STEPS
  • Study the principles of spacetime diagrams in special relativity
  • Learn about metric calculations in Minkowski spacetime
  • Explore causality and its implications in relativistic physics
  • Review examples of event pairs and their causal relationships
USEFUL FOR

Students of physics, particularly those studying special relativity, educators teaching relativity concepts, and anyone interested in the mathematical analysis of spacetime events.

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Homework Statement



4) In the above figure, the horizontal axis is x measures in meters, the vertical axis is t measured in meters (SR units!)

a) For the pairs of events AB, AC, CB, determine the metric distance between them.
b) For each pair answer whether the first member of the pair could have caused the second member.

See attachment for graph.

Homework Equations





3. The Attempt at a Solution [/b

As the axes are in meters the problem was instantly confusing.

For part a) we assumed spatial distance, so we subtracted distances on the x-axis and found our solution that way.

part b) was easier, we just drew in the causality lines and determined the solution that way.
 

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I assume you're looking for this to be checked?

Part A is correct and Part B looks OK to me.
 

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