expandinguniverse

Coordinate Dependent Statements in an Expanding Universe

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In this Insight we will discuss the general Robertson--Walker…

Demystifying the Chain Rule in Calculus

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Introduction There are a  number of posts on PF involving…
gps3

The Schwarzschild Metric: A Newtonian Comparison

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A Short Proof of Birkoff's Theorem derived the Schwarzschild…
debatetips

3 New Years Tips For Cooling Off Debates

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 Civil discussion and debate is critical to Physics…
gps2

The Schwarzschild Metric: The Photon Sphere

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 A Short Proof of Birkoff's Theorem derived the Schwarzschild…
qft_gauge

Mathematical Quantum Field Theory - Gauge Fixing

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The following is one chapter in a series of Mathematical Quantum…
gps1

The Schwarzschild Metric: GPS Satellites

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 A Global Positioning System (GPS) device gives your…
textbook

The Birth of a Physics Textbook

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 It is said that you should accomplish three things…
cosmosintro

A Journey Into the Cosmos - The Friedmann Equation

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 This article is part of our student writer series.…
qtf_phased_space

Mathematical Quantum Field Theory - Reduced Phase Space

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The following is one chapter in a series on Mathematical Quantum…
workethic

Work Ethic Is a Key to Success for Science Majors

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After earning a 4.0 GPA in his first semester as a…
arnold

Interview with Mathematician and Physicist Arnold Neumaier

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Please give us a brief background on yourselfOver 40 years…
dice

Intransitive Dice with a Twist

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Intransitive dice are sets of dice that don't follow the usual…
qtf_guagesym

Mathematical Quantum Field Theory - Gauge Symmetries

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This is one chapter in a series on Mathematical Quantum Field…
unitsworkforyou

Make Units Work for You

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How do we use units? You may see one of these speed limit signs,…
qft_prapagators

Mathematical Quantum Field Theory - Propagators

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This is one chapter in a series on Mathematical Quantum Field…
Maxwell equations

The Homopolar Generator: An Analytical Example

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Introduction It is surprising that the homopolar generator,…
qtf_phasespace

Mathematical Quantum Field Theory - Phase Space

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The following is one chapter of a series on Mathematical Quantum…
qtf_observables

Mathematical Quantum Field Theory - Observables

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The following is one chapter in a series on Mathematical Quantum…
dna_stretch

New Research on Untying Knots in Polymers

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A joint computational-experimental paper that I worked on was…
qtf_symmerities

Mathematical Quantum Field Theory - Symmetries

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The following is one chapter in a series on Mathematical Quantum…
qft_lang

Mathematical Quantum Field Theory - Lagrangians

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This is one chapter in a series on Mathematical Quantum Field…
qtf_field_variations2

Mathematical Quantum Field Theory - Field Variations

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This is chapter 4 of a series on Mathematical Quantum Field Theory.The…
dna_twist

Using the Spaghetti-Twist to Align DNA

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A new paper from a collaboration of Canadian physicists has demonstrated…
qtf_fields

Mathematical Quantum Field Theory - Fields

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The following is one chapter in a series on Mathematical Quantum…
qft_spacetime

Mathematical Quantum Field Theory - Spacetime

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The following is one chapter in a series on Mathematical Quantum…
qtf_geometry

Mathematical Quantum Field Theory - Geometry

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This is the first chapter in a series on Mathematical Quantum…
quantumfieldtheory

A First Idea of Quantum Field Theory - 20 Part Series

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These notes mean to give an expository but rigorous introduction…
circuitanalysis

The What and Why of Circuit Analysis Assumptions

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Probably everyone reading this article already has an education…
manifold2

A Journey to The Manifold SU(2): Representations

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Part 1  Representations Image source: [24]  6.…

A Journey to The Manifold SU(2): Differentiation, Spheres and Fiber Bundles

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Part 2  Differentiation, Spheres and Fiber Bundles Image…
10mathtips

10 Math Tips to Save Time and Avoid Mistakes

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Exam situations are always situations of stress. It comes with…
solarimaging

Getting Started with Solar System Imaging

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Some of the most visible objects in the sky are objects within…
fourierseries2

Further Sums Found Through Fourier Series

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In an earlier insight, I looked at the Fourier series for some…
perturbation

Introduction to Perturbative Quantum Field Theory

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This is the beginning of a series that gives an introduction…
quantumpeace

How I Stopped Worrying and Learned to Love Orthodox Quantum Mechanics

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Many people here know that I am a "Bohmian", i.e. an adherent…

15 of the Best PF 2017 Eclipse Photos

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The 2017 August Eclipse really was something special. Fortunately…
inflation5

A Poor Man's CMB Primer: Quantum Seeds

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 The CMB establishes a record of ancient acoustic…
mathoperators

How to Tell Operations, Operators, Functionals and Representations Apart

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 All these concepts belong to the toolbox of physicists.…