Minkowski Spacetime and Diagrams

∟Minkowski Spacetime and Diagrams

This chapter provides an introduction of Minkowski spacetime and diagram. Topics include introduction of Minkowski spacetime model; events interval; Lorentz transformation; Minkowski diagram; demonstration of time dilation and length contraction in Minkowski diagram.

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What Is Minkowski Spacetime

Events Interval and Relations

What Is Lorentz Transformation

What Is Minkowski Diagram

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

Multiple Reference Frames in Minkowski Diagram

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Takeaways:

Minkowski spacetime model defines events interval as s**2 = -(c*dt)**2 + dx**2+dy**2+dz**2.
Lorentz transformation converts space time coordinates from a stationary frame to a moving frame based on special theory of relativity.
Minkowski diagram presents Lorentz transformation geometrically by overlaying two frames in a single diagram

Table of Contents

About This Book

Introduction of Space

Introduction of Frame of Reference

Introduction of Time

Introduction of Speed

Newton's Laws of Motion

Introduction of Special Relativity

Time Dilation in Special Relativity

Length Contraction in Special Relativity

The Relativity of Simultaneity

Introduction of Spacetime

►Minkowski Spacetime and Diagrams

Introduction of Hamiltonian

Introduction of Lagrangian

Introduction of Generalized Coordinates

Phase Space and Phase Portrait

References

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