**Herong's Notes on Physics** - Version 3.21, by Dr. Herong Yang

Relativity of Simultaneity in Minkowski Diagram

This section provides a demonstration of the relativity of simultaneity phenomenon using a Minkowski diagram.

Minkowski diagram can also be used to demonstrate the relativity of simultaneity 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 observes two events A, (X',cT')=(2,2), and B, (X',cT')=(6,2), occurred simultaneously at the same time of cT'=2 seconds on her clock.
- However, Bob observes events A, (X,cT)=(4,4), and B, (X,cT)=(9,7), occurred at different times of 4 and 7 seconds based on the Minkowski diagram given below.

So simultaneity is relative to the observing frame.

*Last update: 2014.*

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