**Physics Notes - Herong's Tutorial Notes** - v3.22, by Dr. Herong Yang

Time Dilation in Minkowski Diagram

This section provides a demonstration of the time dilation phenomenon using a Minkowski diagram.

Minkowski diagram can also be used to demonstrate the time dilation phenomenon. Let's follow another simple thought experiment described below:

- Amy stays in frame moving at a speed of v=0.6*c relative to Bob's frame.
- Amy holds a clock in her frame at (0,0) as event O.
- Amy waits for 4 seconds at arrives at event E, (X',cT')=(0,4).
- The elapsed time of E in Amy's frame is cT'=4 seconds.

Now in Bob's frame:

- The event E would be observed at (X,cT)=(3,5) in Bob's frame based on the Minkowski diagram given below.
- The elapsed time of E in Bob's frame is cT=5 seconds.

So the elapsed time in Amy's moving frame is dilated by cT/cT' = 5/4 = 1.25, which matches Lorentz factor of the time dilation formula presented earlier in the book.

Table of Contents

Introducion of Frame of Reference

Introduction of Special Relativity

Time Dilation in Special Relativity

Length Contraction in Special Relativity

The Relativity of Simultaneity

►Minkowski Spacetime and Diagrams

What Is Lorentz Transformation?

Constancy of Speed of Light in Minkowski Diagram

►Time Dilation in Minkowski Diagram

Length Contraction in Minkowski Diagram

Relativity of Simultaneity in Minkowski Diagram

Invariant Spacetime Interval in Minkowski Diagram