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Unit 1Lesson 6 2 min read

Modern Physics: Special Relativity and Quantum Mechanics

6/12

Learning Objectives

State the two postulates of Einstein's theory of special relativity.
Describe the concepts of time dilation and length contraction.
Explain wave-particle duality.
Describe the Heisenberg Uncertainty Principle.

The Revolution in Physics

At the beginning of the 20th century, two revolutionary ideas overturned classical physics: Special Relativity and Quantum Mechanics.

Einstein's Special Relativity

Published by Albert Einstein in 1905, this theory deals with motion at very high (near-light) speeds. It is built on two postulates:

1.The Principle of Relativity: The laws of physics are the same for all observers in uniform motion (i.e., not accelerating).
2.The Principle of the Constancy of the Speed of Light: The speed of light in a vacuum (c) is the same for all observers, regardless of the motion of the light source or the observer.

These simple postulates have profound consequences:

Time Dilation: Time passes more slowly for a moving observer relative to a stationary observer. 'Moving clocks run slow.'
Length Contraction: An object appears shorter in its direction of motion to an observer who is moving relative to it.
Mass-Energy Equivalence: Mass and energy are two forms of the same thing and can be converted into one another, as described by the famous equation:

E = mc²

Quantum Mechanics

This theory describes the behavior of matter and energy at the atomic and subatomic levels.

Quantization: Many physical quantities, like energy, are not continuous but come in discrete packets called quanta. For example, light consists of quanta called photons.
Wave-Particle Duality: Subatomic particles like electrons and photons exhibit both wave-like (e.g., diffraction, interference) and particle-like (e.g., position, momentum) properties. Which property is observed depends on how the experiment is set up.
The Heisenberg Uncertainty Principle: It is impossible to simultaneously know with perfect accuracy both the position and the momentum of a particle. The more precisely one is known, the less precisely the other can be known.
This is not a limitation of our measuring instruments; it is a fundamental property of nature.

These theories, while seeming strange and counterintuitive, have been confirmed by countless experiments and are the foundation for modern technologies like GPS (relativity) and lasers and semiconductors (quantum mechanics).

Check Your Understanding

1

What are the two postulates of Einstein's theory of special relativity?

2

What is wave-particle duality?

3

According to the principle of time dilation, if a person travels in a spaceship at 99% the speed of light and then returns to Earth, will they have aged more or less than the people who remained on Earth?