Learn Dimensional Analysis

Learn the Basics of Dimensional Analysis

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As a university teacher and as a PF member, I have often noted…
rotating room

How to Zip Through a Rotating Tunnel Without Bumping Into the Walls

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Preface While browsing through unanswered posts in the Classical…
Balmer Alpha Line

Calculating the Balmer Alpha Line: Atomic Hydrogen

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Introduction Most readers acquainted with the hydrogen spectrum …
spacetime maxwell

Maxwell's Equations in a Static, Spherically Symmetric Spacetime

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In the first article in this series, we looked at the Einstein…
quantum superposition

Understanding Superposition

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IntroductionOne should first and foremost understand that…
What is Entropy

On the Meaning of Entropy

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Introduction The intent of this article is to clarify the meaning…
Einstein Field Equation

The Einstein Field Equation in a Static, Spherically Symmetric Spacetime

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This will be the first of several articles which will provide,…
writing proofs

How Most Proofs Are Structured and How to Write Them

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... or the answer to: "I have no idea where to start!" Proofs…
Camera Lens Physics

Lens Performance Testing: Evaluating a Camera Lens

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I've done plenty of imaging performance testing on a variety…
Quantum Mechanical Commutator

The Classical Limit of Quantum Mechanical Commutator

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The Classical Limit of Commutator (without fancy mathematics) Quantum…
Minkowski Spacetime

Precession in Special and General Relativity

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The Absolute Derivative In relativity we typically deal with…
Star Equations

Equations of State for Photon Gas and Relativistic Electron Gas

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This Insight develops equations of state that are useful in calculations…
rules of quantum mechanics

The 7 Basic Rules of Quantum Mechanics

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For reference purposes and to help focus discussions on Physics…
Quantum Particles

Clarifying Common Issues with Indistinguishable Particles

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Commonly there is a lot of imprecision in talking about ''indistinguishable''…
isotropy definition

A Formal Definition of Large-Scale Isotropy

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This Insight is part of my attempt to develop a formal definition…
Renewable Energy Power Grid

Renewable Energy Meets Power Grid Operations

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The electric power industry faces much turmoil in the coming…
surface integral

Demystifying Parameterization and Surface Integrals

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Introduction This article will attempt to take the mystery out…
20 year tech predictions

What Technology or Discovery Will Be the Most Revolutionary Within 20 Years?

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We asked our advisors "What technology or scientific discovery…
Maupertuis Principle

A Pure Hamiltonian Proof of the Maupertuis Principle

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Here is another version of proof of Maupertuis's principle. This…
Kerr Spacetime

Fermi-Walker Transport in Kerr Spacetime

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In the last two posts in this series, we developed some tools…
create a universe story

How to Create a Universe - Instructions for an Apprentice God

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(-: ##~~~## A fantasy to be read at leisure time ##~~~## :-) Written…
quantum qubit

A Classical View of the Qubit

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This Insight article is part of my paper Foundations of quantum…
Minkowski_Spacetime_2

Fermi-Walker Transport in Schwarzschild Spacetime

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In the first post in this series, we introduced the concepts…

Aiming High and Managing Distractions as Keys to Success for Science Majors

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Over the years, I've noticed some distinct trends among the physics…
AVX-512 Programming subtotals

AVX-512 Programming: Extracting Column Subtotals from a Table

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In this Insights article I'll present an example that shows how…
Minkowski Spacetime

Fermi-Walker Transport in Minkowski Spacetime

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This is the first of several posts that will develop some mathematical…
The Sum of Geometric Series from Probability Theory

The Sum of Geometric Series from Probability Theory

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Here I present a simple (but to the best of my knowledge, new)…
quantum mechanics is incomplete

9 Reasons Quantum Mechanics is Incomplete

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I argue that all interpretations of quantum mechanics (QM) are…
AVX-512 conclusion

AVX-512 Assembly Programming: Opmask Registers for Conditional Arithmetic Conclusion

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In the first part of this article (AVX-512 Assembly Programing…
AVX-512 registers

AVX-512 Assembly Programming: Opmask Registers for Conditional Arithmetic

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This is the second installment in a continuing series of articles…
Simple Harmonic Oscillator Laboratory

An Accurate Simple Harmonic Oscillator Laboratory

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Learning Objectives * Execute a specific experimental procedure…
AVX-512 Assembly Programming

An Intro to AVX-512 Assembly Programming

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History In 1998, the Intel Corporation released processors that…
against quantum interpretations

Against "interpretation"

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I am against "interpretations" of Quantum Mechanics (QM) in a…
lie algebra representations

Lie Algebras: A Walkthrough The Representations

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  Part III: Representations  10. Sums and…
abacus introduction

An Introduction to the Traditional Abacus of China and Japan

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Introduction Abacuses are commonly seen in ancient civilizations…
Hooke's Law Experiement

An Accurate Hooke's Law Laboratory

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Learning Objectives * Gain confidence and experimental care…
Lie Algebra Structure

Lie Algebras: A Walkthrough The Structures

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  Part II: Structures5. Decompositions.Lie…
lie algebra basics

Lie Algebras: A Walkthrough The Basics

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  Part I: Basics 1. Introduction. This article is…
Data Structures Programming

Intro to Data Structures for Programming

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IntroductionIn the first part of this series, I talked about…
Bernoulli's equation

Demystifying the Often Misunderstood Bernoulli's Equation

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Introduction Bernoulli's equation is one of the most useful…
Magnetic Field Lines

Are Magnetic Field Lines Real?

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We recently had a question in the relativity forums that mentioned…
vehicle power

When Vehicle Power Dictates Acceleration

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One interesting problem when dealing with a vehicle of a certain…
Quantum Eraser

The Quantum Mystery of Wigner's Friend

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In this Insight I will introduce the quantum mystery called ``Wigner's…
Calculus Therom

A Numerical Insight for the Fundamental Theorem of Calculus

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The purpose of this article is not to provide some rigorous statement,…
inventions

Inventions and Inventors Quiz

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Time to test your inventions, inventors and patent knowledge.…
Super Quantum

The Unreasonable Effectiveness of the Popescu-Rohrlich Correlations

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In this Insight, I will show how the Popescu-Rohrlich (superquantum)…
engineer anorlunda

Interview with Engineer Mentor anorlunda

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Tell us about your school years? Part of my story is sad but…
bhobba physics interview

Interview with Physics Mentor bhobba

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Give us an executive summary on bhobbaI was born in Toowong…
rotational mechanics

An Example of Servo-Constraints in Mechanics

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Servo-constraint was invented by Henri Beghin in his PhD thesis…
Telescope Buying Guide

Guide to Buying Your First Telescope

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We often have questions about what telescope an aspiring amateur…
physicsblogs

What Are Your Favorite Science or Math Blogs?

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We asked our PF Advisors to tell us what their favorite science…