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Profound Physics

For Those Wanting To Learn Physics Profoundly

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Time-Dependent vs Time-Independent Schrödinger Equation: What Is the Difference?

Quantum mechanics is the framework that underpins our understanding of the microscopic...

The Metric Tensor: A Complete Guide With Examples

If you’ve looked into general relativity or differential geometry, you might have...

Noether’s Theorem: A Complete Guide With Examples

Noether’s theorem, named after the German mathematician Emmy Noether, is often said...

Calculus of Variations For Dummies: An Intuitive Introduction

Most people have heard of basic calculus and know about its applications...

The Friedmann Equations Explained: A Complete Guide

Fewer than 10 years after Einstein’s derivation of his famous field equations,...

Lagrangian vs Hamiltonian Mechanics: The Key Differences & Advantages

Classical mechanics describes everything around us from cars and planes even to...

Are Maxwell’s Equations Relativistic? (Simple Explanation & Proof)

Electromagnetism is one of the cornerstones of modern physics, taking its place...

Why Do Hot Things Glow? An In-Depth Explanation

When we warn people not to touch an object that’s really hot,...

Why Is Momentum Conserved But Kinetic Energy Is Not? (with examples!)

Intuitively, momentum and kinetic energy are both about speed and how much...

Why Do Electrons Not Fall Into The Nucleus? (or can they?)

If electrons are negatively charged and the nuclei in atoms are positively...