The Principle of Relativity

This section provides an example of law of physics, Newton's First Law of Motion, to help understanding the first assumption of the special theory of relativity: The Principle of Relativity.

To help us understanding better the first assumption of the special theory of relativity: "The Principle of Relativity - The laws of physics are the same in all inertial frames", we can use Newton's First Law of Motion as an example.

Newton's First Law of Motion says: "If the net force acting on an object is zero, then the velocity of the object is constant".

As a law of physics, the above statement must be true in all inertial frames. In other words, if the net force acting on an object is zero, then the velocity of the object will be constant, or no acceleration, no matter from which inertial frame to observe it.

For example, two spaceships are traveling in deep space in inertial frame motion represented by K and K'. If a ball A is traveling along K' with net force acting on it, an observer from K' will see the ball is at rest. Its velocity stays zero, a constant velocity. Another observer from K will see the ball is moving away from K with K' with a constant speed in a straight line, a constant velocity.

Special Relativity - Newton's First Law of Motion
Special Relativity - Newton's First Law of Motion

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

 Full Version in PDF/ePUB