What Is an Inertial Frame of Reference

This section describes an inertial frame of reference - a frame of reference in which no acceleration can be detected in any direction.

What Is an Inertial Frame of Reference? An inertial frame of reference (or inertial frame) is a frame of reference in which no acceleration can be detected in any direction.

An inertial frame can be viewed as a spaceship cruising in the deep space far away from any stars with no power.

It is actually very hard to define an inertial frame without using another frame of reference. But we can easily define all inertial frames as a group: "All inertial frames are in a state of motion with a constant speed in a straight line".

In other words, when an observer in an inertial frame K views another inertial frame K', K' is moving away from K with a constant speed in a straight line, or K' is moving in uniform translation relatively to K.

Special Relativity - Inertial Frames
Special Relativity - Inertial Frames

With the definition of inertial frames, now we can add a condition to the theory of special relativity that was not clearly mentioned in the previous section: "The theory of special relativity in valid only in inertial frames". And the two assumptions of the theory of special relativity can be restated as:

1. The Principle of Relativity - The laws of physics are the same in all inertial frames.

2. The Constancy of the Speed of Light - The speed of light has the same value c measured in all inertial frames.

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

 Assumptions of Special Relativity

What Is an Inertial Frame of Reference

 The Principle of Relativity

 The Constancy of the Speed of Light

 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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