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How to draw the uniformly moving observer's space axis in our spacetime diagram ?



PhysicsNextBook

We discuss how we can draw the uniformly moving observer’s space axis in our spacetime diagram.

Drawing the space axis of a uniformly moving observer in our spacetime diagram or Minkowski diagram is a non-trivial task. In this video we discuss how we, the inertial observers can use the concept of simultaneous events to determine the orientation of the space axis of another observer who is moving with a uniform velocity relative to us, in our spacetime diagram.

Chapters:
0:00 Intro: S pace axis of our own frame horizontally is a convention
0:42 Space axis of a moving frame is non-trivial
1:07 The Plan
1:48 The condition to find simultaneous events
3:20 Applying the condition in our frame
4:15 Why the condition works for the moving observer as well
4:35 Time axis of the moving frame and its origin
4:58 Applying the condition in the moving frame
5:55 The take-home message

Related videos:
https://youtu.be/D1dKihovkJ4
https://youtu.be/rceYwLCUgwo
https://youtu.be/Lni93NkMevs
https://youtu.be/Swms68IcviA
https://youtu.be/pJRzgdmP4dM

Questions this video answered:
How to draw the space axis of a moving frame?
How to determine the orientation of the space axis of a moving frame?
What decides the orientation of the space axis of a moving observer?
How to draw the time axis of the moving observer?
How to draw the world-line of the moving observer/object?
How to identify events simultaneous to the origin in a spacetime diagram?
How does the concept of simultaneity play a role in determining the orientation of the space axis in a Minkowski diagram?

#Simultaneity
#SpecialRelativity,
#PhysicsNextBook
#Einstein,
#Minkowski
#Space,
#Time,
#InertialObservers,
#SpacetimeDiagram,
#MinkowskiDiagram,
#Photonworldline
#Photon

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