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Physics, Math and Science, Explained

Velocity Time Function

Revisiting the Velocity-Time Function

May 24, 2026/1 Comment/in Mechanics, Physics Tutorials/by Neil Parker

Kinematics: The Velocity-Time Function Author’s Preface: A Collaborative Approach to Lesson Development The intention behind what I hope will be a series of articles on Kinematics (this one being the first) is to begin an open, collaborative process of lesson development on Physics Forums. In order to expedite this workflow, I am making deliberate use…

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Recent Entries

qtf_fields

Learn the Fields of Mathematical Quantum Field Theory

November 9, 2017
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82 Comments
The following is one chapter in a series on Mathematical Quantum Field TheoryThe previous chapter is 2. Spacetime.The next chapter is 4. Field…
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qft_spacetime

Learn Spacetime in Mathematical Quantum Field Theory

November 7, 2017
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9 Comments
The following is one chapter in a series on Mathematical Quantum Field Theory.The previous chapter is 1. Geometry.The next chapter is 3. Fields  2.…
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qtf_geometry

Learn the Geometry of Mathematical Quantum Field Theory

November 5, 2017
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33 Comments
This is the first chapter in a series on Mathematical Quantum Field Theory.The next chapter is 2. Spacetime. 1. Geometry The geometry of physics…
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quantumfieldtheory

A First Idea of Quantum Field Theory – 20 Part Series

November 2, 2017
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8 Comments
These notes mean to give an expository but rigorous introduction to the basic concepts of relativistic perturbative quantum field theories, specifically…
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circuitanalysis

The What and Why of Circuit Analysis Assumptions

October 30, 2017
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15 Comments
Probably everyone reading this article already has education on elementary circuit analysis (CA) and many of us are much more advanced. Typically, the…
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manifold2

A Journey to The Manifold SU(2): Representations

October 20, 2017
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3 Comments
Part 1 Image source: [23]  Some useful bases of ##\mathfrak{su}(2,\mathbb{C})## Notations can differ from author to author: the…
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A Journey to The Manifold SU(2): Differentiation, Spheres, and Fiber Bundles

October 16, 2017
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3 Comments
Part 2  Differentiation, Spheres, and Fiber Bundles Image source: [24]The special unitary groups play a significant role in the standard…
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10mathtips

Exam Tips & Test Strategies: Practical Study Techniques

October 9, 2017
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25 Comments
Managing Exam Stress Exam situations are always situations of stress. It comes with our endeavor to be as good as possible and our fear of failure. Some…
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solarimaging

Solar System Imaging: Telescope, Camera & Filters Guide

October 4, 2017
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4 Comments
Introduction Some of the most visible features in our sky are solar system objects: the Sun, the Moon, and the planets. These objects are generally much…
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fourierseries2

Learn Further Sums Found Through Fourier Series

September 28, 2017
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5 Comments
In an earlier insight, I looked at the Fourier series for some simple polynomials and what we could deduce from those series. There is a lot more to be…
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perturbation

Introduction to Perturbative Quantum Field Theory

September 12, 2017
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110 Comments
This is the beginning of a series that gives an introduction to perturbative quantum field theory (pQFT) on Lorentzian spacetime backgrounds in its…
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quantumpeace

How I Stopped Worrying and Learned to Love Orthodox Quantum Mechanics

August 30, 2017
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289 Comments
Why I'm a Bohmian and Questioning Orthodox QM Many people here know that I am a "Bohmian", i.e. an adherent of a very non-orthodox interpretation of quantum…
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15 of the Best PF 2017 Eclipse Photos

August 24, 2017
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69 Comments
The 2017 August Eclipse really was something special. Fortunately Physics Forums has great photographers and snapped some remarkable shots. Here are a…
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inflation5

A Poor Man’s CMB Primer: Quantum Seeds

July 26, 2017
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11 Comments
 The CMB establishes a record of ancient acoustic oscillations in the baryon-photon plasma. We've been studying how these primordial sound…
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mathoperators

How to Tell Operations, Operators, Functionals, and Representations Apart

July 21, 2017
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24 Comments
 All these concepts belong to the toolbox of physicists. I read them quite often on our forum and their usage is sometimes a bit confusing.…
https://www.physicsforums.com/insights/wp-content/uploads/2017/07/operators.png 135 240 fresh_42 https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png fresh_422017-07-21 03:45:252024-08-17 14:52:07How to Tell Operations, Operators, Functionals, and Representations Apart
epsresults

Find Out the Results Shown at 2017 CERN EPS Conference

July 18, 2017
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7 Comments
The EPS conference was a week ago, and many new results and future plans were shown. A good general overview has been collected by Paris Sphicas in his…
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m-theory

Super p-Brane Theory Emerging from Super Homotopy Theory

July 14, 2017
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6 Comments
  A notorious open problem: What is the non-perturbative theory formerly known as Strings?We still have no fundamental formulation of “M-theory”…
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Parsevalstheorem

Learn an Integral Result from Parseval’s Theorem

July 12, 2017
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5 Comments
Introduction: In this Insight article,  Parseval's theorem will be applied to a sinusoidal signal that lasts a finite period of time.  It will be shown…
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EdmondHamilton

The Second Satellite: Orbit, Gravity & Tidal Errors

July 8, 2017
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2 Comments
Introduction This article won't contain much about physics that typical readers of this site don't already know. However, deconstructing improper physics…
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entanglement_entropy2

Lesson on Entanglement Entropy in Quantum Field Theory

June 20, 2017
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3 Comments
Part 1: Quantum Mechanics[This article expects the reader to have some experience with quantum field theory and path integrals][I should also…
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whatisatensor

Tensors Explained: Scalars, Vectors, Matrices & Math

June 18, 2017
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58 Comments
Introduction Let me start with a counter-question. What is a number? Before you laugh, there is more to this question than one might think. A number can…
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jimbiology

From Biology to Sysadmin: Career Insights & Advice

June 7, 2017
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17 Comments
Interview: From Biology to Programming, Sysadmin, and Life in New Mexico What got you interested in biology? I was an amateur naturalist as a kid. I…
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dampedforces

Learn Damped Motion in Classical and Quantum Mechanics

May 28, 2017
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21 Comments
This Insights article is about dissipative forces (friction, air resistance, viscosity...).Damping by friction forces is one of the concepts that is…
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name_the_scientist

Name the Scientist Quiz and Trivia

May 23, 2017
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27 Comments
Time to test your scientist photo recognition skills! As always please post your score in the comment thread at the end.Ready for your next quiz?…
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pamelagay

Pamela Gay Interview — Astronomy, Citizen Science & Outreach

May 16, 2017
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2 Comments
Please give us a bit of background into your educational and professional life. I'm a public school kid through and through. After going to the local…
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SpectralParadox

Exploring the Spectral Paradox in Physics

May 1, 2017
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16 Comments
In terms of wavelength, peak solar radiation occurs at about 500 nm.  Interestingly, this is well within the range of human vision.  When solar radiation…
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undergradresearch

Finding Niches for Publishable Undergraduate Research

April 28, 2017
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6 Comments
What 'Publishable' Means Undergraduate interest in research is a good thing; it's even better if they aspire to publish their work for review and consideration…
https://www.physicsforums.com/insights/wp-content/uploads/2017/04/undergradresearch.png 135 240 Dr. Courtney https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Dr. Courtney2017-04-28 12:50:582026-02-16 21:46:57Finding Niches for Publishable Undergraduate Research
coldquestioning

How to Ask Questions Effectively and Avoid Cold Questions

April 27, 2017
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70 Comments
Common Questions We Receive We frequently get questions such as these:"What is energy?""What are Cooper Pairs?""What is conservation of momentum?"etc...etc. Why…
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processing

The Joy of Processing

April 18, 2017
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11 Comments
In the early days of the personal computer revolution, computers were small, simple, and easy to operate. It was always great fun to write BASIC games…
https://www.physicsforums.com/insights/wp-content/uploads/2017/04/processing.png 135 240 jedishrfu https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png jedishrfu2017-04-18 13:16:252026-02-16 21:45:49The Joy of Processing
entanglement_entropy

Learn Entanglement Entropy in Quantum Mechanics

April 12, 2017
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22 Comments
Quantum Mechanics(QM) is one of the greatest intellectual achievements in human history. Not only because it describes the world at the microscopic level…
https://www.physicsforums.com/insights/wp-content/uploads/2017/04/entanglement_entropy.png 135 240 ShayanJ https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png ShayanJ2017-04-12 13:10:302021-04-02 13:06:40Learn Entanglement Entropy in Quantum Mechanics
BondiKcalculus

Learn Relativity Using the Bondi K-calculus

April 10, 2017
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20 Comments
Although Special Relativity was formulated by Einstein (1905), and given a spacetime interpretation by Minkowski (1908) [which helped make special relativity…
https://www.physicsforums.com/insights/wp-content/uploads/2017/04/BondiKcalculus.png 135 240 robphy https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png robphy2017-04-10 13:30:542024-05-20 06:40:33Learn Relativity Using the Bondi K-calculus
physicslab

Revamping Undergraduate Introductory Physics Laboratory

April 8, 2017
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19 Comments
Introduction This is a compilation of my blog entry on this singular "project" to change the way we conduct the introductory physics laboratory in most…
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frasercain2

Q&A With Universe Today’s Astronomer Fraser Cain

April 7, 2017
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4 Comments
Video Q&A: Fraser Cain (Universe Today) Special thanks to Universe Today founder Fraser Cain for this fascinating video Q&A. All questions were…
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lensfocus

Lenses and Pinholes: What Does “In Focus” Mean?

March 29, 2017
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11 Comments
Introduction In introductory physics, the optics unit often teaches about virtual and real images, focal lengths, indexes of refraction, etc. Some questions…
https://www.physicsforums.com/insights/wp-content/uploads/2017/03/lensfocus.png 135 240 stevendaryl https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png stevendaryl2017-03-29 19:42:142026-02-16 21:44:03Lenses and Pinholes: What Does “In Focus” Mean?
sabine1

Sabine Hossenfelder: Dark Matter, Gravity & LIGO Interview

March 26, 2017
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18 Comments
We are pleased to introduce Sabine Hossenfelder. Sabine is a theoretical physicist at the Frankfurt Institute for Advanced Studies. She also authors…
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deriitive5

The Pantheon of Derivatives – Important Theorems (V)

March 25, 2017
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2 Comments
Implicit Function Theorem [1] Jacobi Matrix (Chain Rule). Let ## (x_0,y_0 ) ## be a point in$$U_1 \times U_2 = \{x \in \mathbb{R}^k\,\vert \,||x-x_0||<…
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RelativityVariables

Relativity Variables: Velocity, Doppler-Bondi k, and Rapidity

March 24, 2017
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8 Comments
Traditional presentations of special relativity place emphasis on "velocity", which of course has an important physical interpretation... carried over…
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deriitive4

The Pantheon of Derivatives – Lie Derivatives And Others (IV)

March 22, 2017
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6 Comments
  Lie Derivatives A Lie derivative is in general the differentiation of a tensor field along a vector field. This allows several applications…
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deriitive3

The Pantheon of Derivatives – Sections, Pullbacks And Pushforwards (III)

March 20, 2017
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4 Comments
  Some Topology Whereas the terminology of vector fields, trajectories, and flows almost by itself suggests its origins and physical relevance,…
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cameralense

Ultra-Wide-Angle Lenses: Design, Use, and Guide

March 19, 2017
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7 Comments
Note, unless otherwise specified, all focal lengths are in terms of the 35mm image format. Overview: why ultra-wide-angle lenses matter Recently there…
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deriitive2

The Pantheon of Derivatives – Manifolds And Vector Fields (II)

March 17, 2017
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8 Comments
  Generalizations Beyond ##\mathbb{R}## and ##\mathbb{C}## As mentioned in the section on complex functions (The Pantheon of Derivatives - Part…
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deriitive

The Pantheon of Derivatives – The Direction (I)

March 16, 2017
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3 Comments
  Differentiation in a Nutshell I want to gather the various concepts in one place, to reveal the similarities between them, as they are often…
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diffractiontheory

The Diffraction Limited Spot Size with Perfect Focusing

March 13, 2017
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12 Comments
Purpose The purpose of this Insights article is to give the reader a brief introduction to the principles behind diffraction-limited focusing. The reader…
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learned

Learning to Learn: Key Skill for Aspiring Physicists

March 10, 2017
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9 Comments
Context: The Question I Get Asked I mentioned in an earlier Insight what I think are the most important things you can learn by being on Physics Forums.…
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integraltrick

Trick to Solving Integrals Involving Tangent and Secant

March 6, 2017
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6 Comments
This little trick is used for some integration problems involving trigonometric functions is probably well-known, but I only learned it yesterday. So…
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linearacceleration

Frames of Reference: Linear Acceleration View

February 17, 2017
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2 Comments
My previous Insight, Frames of Reference: A Skateboarder's View, explored mechanical energy conservation as seen from an inertial frame moving relative…
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scavengerhunt2

PF Insight Scavenger Hunt 2

February 13, 2017
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4 Comments
We have an amazing count of over 320 Insights published at Physics Forums. Now we test to see how much you remember from some of them. If you need a hint…
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computerlanguages

Machine Code to IDEs: A Guide to Programming Language Types

February 9, 2017
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67 Comments
Computer languages fall into a small number of core types: machine language (raw binary instructions), assembly language (human-readable mnemonics for…
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cornuspiral

Learn Frenet Equations in 2-D Which Result in the Cornu Spiral

February 6, 2017
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3 Comments
This Insights article is intended as an introduction to the Frenet-Serret equations by showing an interesting application that results from a case in two-dimensional…
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experimenthistory

Ancient Experiments: Elijah, Psammetichus, Early Science

February 3, 2017
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11 Comments
Overview In this Insight, I'm going to talk about two of the first science experiments in recorded history. One was allegedly performed by the Prophet…
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boatramps

Real Research in Unexpected Places; Boat Ramps

February 1, 2017
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4 Comments
Read part 1 -Backyards, Barns, Bayous Air Force Academy appointment When I was offered a job at the Air Force Academy, it seemed like an opportunity to…
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geometrysimple

When Simple Geometry Unveils Deep Math

January 21, 2017
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27 Comments
Introduction It is a remarkable fact that consideration of very elementary concepts in geometry often leads quickly into deep and unexpected mathematical…
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quantumflux

Learn About Vacuum Fluctuations in Experimental Practice

January 19, 2017
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41 Comments
Introduction and context This Insight Article is a sequel of the Insight Articles ”The Physics of Virtual Particles”, “Misconceptions about Virtual…
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magnet

Permanent Magnets Explained by Magnetic Surface Currents

January 16, 2017
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38 Comments
Introduction: The purpose of this Insight is to explain permanent magnets in a way that is in agreement with advanced textbooks on the subject, and that…
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nasa

NASA Quiz and Trivia: Test Your NASA Knowledge

January 13, 2017
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26 Comments
Since the mid 20th century NASA has been a force in aerospace research and programs. Let's find out just how much you know about it's history, programs…
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jimhardy

Jim Hardy: Nuclear Engineer — Energy Insights & Hobbies

January 6, 2017
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9 Comments
Give us a little background on Jim Hardy Born and raised in Miami, Florida, to parents with roots in Springfield, Missouri. So at heart I'm a small‑town…
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highercategorytheory

Why Higher Category Theory in Physics?

January 4, 2017
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30 Comments
 This here is my personal story. For an alternative introduction see my talk: Higher Structures in Mathematics and Physics.Initially,…
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steven

Interview with Physics Mentor: Stevendaryl

January 4, 2017
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5 Comments
Give us a brief history on stevendaryl I was born and raised in the American South, mostly living in Georgia. It's a Southern tradition, for some reason,…
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inferometer

Fabry-Perot and Michelson Interferometry: A Fundamental Approach

January 2, 2017
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14 Comments
Fabry-Perot Effect: The Fabry-Perot effect is usually treated in most optics textbooks as the interference that results from multiple reflections of the…
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FourierSeries

Using the Fourier Series To Find Some Interesting Sums

December 22, 2016
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4 Comments
Preliminaries If f(x) is periodic with period 2p and f’(x) exists and is finite for -π<x<π, then f can be written as a Fourier series: [itex]f(x)=\sum_{n=-\infty}^{\infty}a_{n}e^{inx}…
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SchwarzschildGeometry4

The Schwarzschild Geometry: Physically Reasonable?

December 21, 2016
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33 Comments
 In the last article, we looked at various counterintuitive features of the Schwarzschild spacetime geometry, as illustrated in the Kruskal-Szekeres…
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SchwarzschildGeometry3

The Schwarzschild Geometry: Spacetime Diagrams

December 19, 2016
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12 Comments
 When we left off in part 2, we were looking at the metric for the Schwarzschild geometry in Kruskal-Szekeres coordinates:$$ ds^2 = \frac{32…
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SchwarzschildGeometry2

The Schwarzschild Geometry: Coordinates

December 17, 2016
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2 Comments
 At the end of part 1, we looked at the form the metric of the Schwarzschild geometry takes in Gullstrand-Painleve coordinates:$$ ds^2…
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fakenews

Spotting Fake Science News: Wendelstein 7‑X & Media

December 13, 2016
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107 Comments
Fake News, Data, and the Need to Check Sources During and even after the recent US election campaign, numerous reports of fake or misleading news were…
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SchwarzschildGeometry1

The Schwarzschild Geometry: Key Properties

December 12, 2016
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22 Comments
 Not long after Einstein published his Field Equation, the first exact solution was found by Karl Schwarzschild. This solution is one of the…
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quantumapplitudes

Learn About Quantum Amplitudes, Probabilities and EPR

December 10, 2016
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83 Comments
This is a little note about quantum amplitudes. Even though quantum probabilities seem very mysterious, with weird interference effects and seemingly nonlocal…
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fishresearch

Real Research in Unexpected Places: Backyards, Barns, Bayous

December 2, 2016
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2 Comments
Challenging the Myth of Institutional Labs 21st-century science labors under the myth that good experimental science requires expensive lab facilities…
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stephenhawkings

Stephen Hawking Quiz: Think You Know Stephen Hawking?

November 22, 2016
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22 Comments
Stephen Hawking has been a giant in the science world for decades. He has been a accessible figure with his willingness to reach out to the public in various…
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representations

Linear Representations and Why Precision is Important in Math

November 16, 2016
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2 Comments
First of all: What is a representation? It is the description of a mathematical object like a Lie group or a Lie algebra by its actions on another space…
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angledimensions

Can Angles be Assigned a Dimension?

November 12, 2016
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106 Comments
1. Some Background on Dimensional Analysis ... if you are not already familiar with it. 1.1 Dimensions Dimensional Analysis is a way of analyzing…
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whystudyphysics

Why Study Physics? A Bit Goes a Long Way!

November 9, 2016
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6 Comments
Why Study Physics? If you don’t plan to become a scientist or an engineer, is there a good reason to study physics?  I say, “Yes,” because knowing…
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vaccummyth

Explore The Vacuum Fluctuation Myth in Quantum Theory

November 7, 2016
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230 Comments
This Insight Article is a sequel of the Insight Articles ”The Physics of Virtual Particles” and “Misconceptions about Virtual Particles“ which…
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anyon

Learn The Main Conceptual Ideas of Anyon Particles

October 28, 2016
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55 Comments
Every quantum physicist knows that all particles are either bosons or fermions. And the standard textbook argues that this so does not depend on the number…
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tripods

Tripod Guide: Parts, Types, and Uses for Photographers

October 28, 2016
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1 Comment
Click for complete series Part 1: Introduction Part 2: Compact Point and Shoot Part 3: DSLR Part 4: TripodsWhy use a tripod? …
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dslr

DSLR Guide: Lenses, Aberrations, Filters & Techniques

October 24, 2016
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15 Comments
Part 1: Introduction Part 2: Compact Point and Shoot Part 3: DSLR Part 4: TripodsI'm ready for a DSLR! These cameras were originally designed…
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partial-differentiation

Learn Partial Differentiation Without Tears

October 21, 2016
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6 Comments
Differentiation is usually taught quite well. Perhaps that's because it is the first introduction to calculus, which is considered a big step in a student's…
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frameofreference2

Frames of Reference: A Skateboarder’s View

October 19, 2016
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22 Comments
My essay Explaining Rolling Motion raised some commentary about frames of reference and their equivalence when solving physics problems. I wish to pursue…
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relativitygauge

Exploring General Relativity as a Gauge Theory

October 17, 2016
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24 Comments
The fundamental interactions of the Standard Model are described by Yang-Mills theory. This is a gauge theory, which means the following: (1) Choose a…
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astro_advanced

Astrophotography: Mounts, Tracking & Image Processing

October 16, 2016
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2 Comments
Series linksPart 1: Introduction to Astrophotography Part 2: Intermediate Astrophotography Part 3: Advanced AstrophotographyMotivation "I’ve…
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astro_inter

Astrophotography Guide: Equipment, Exposure & Processing

October 14, 2016
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2 Comments
Complete Series Part 1: Introduction Astrophotography Part 2: Intermediate Astrophotography Part 3: Advanced Astrophotography Level…
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astro_intro

Astrophotography Guide: Beginner to Advanced Tips & Gear

October 12, 2016
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1 Comment
Part 1: Introduction to Astrophotography Part 2: Intermediate Astrophotography Part 3: Advanced AstrophotographySeries & prerequisites For…
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davidhestenes

David Hestenes on Geometric Algebra: Applications & Learning

October 11, 2016
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14 Comments
For those who don't know the great David Hestenes, he is the inventor of the geometric algebra formalism of physics. Here we go!1) What is the…
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Interview with Science Advisor DrChinese

October 7, 2016
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6 Comments
We are pleased to share with you an interview with PF Science Advisor and one of our founding members: DrChineseWho is DrChinese and share some early…
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govandteachers

Fixing Scientific Integrity: Teachers, Editors, and Data

October 2, 2016
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46 Comments
Introduction The article, "Governmental policy is wrecking science," makes some interesting points but is fundamentally in error, because government…
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cubicfunction

Learn How to Solve the Cubic Equation for Dummies

October 1, 2016
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5 Comments
Everybody learns the "quadratic formula" for solving equations of the form [itex]A x^2 + B x + C = 0[/itex], even though you don't really need such a formula,…
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digitalcamera3

Digital Camera Buyer’s Guide: Bridge Cameras

September 30, 2016
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5 Comments
Click for complete seriesPart 1: Introduction Part 2: Compact Point and Shoot Part 3: DSLR Part 4: TripodsWho this guide is for This…
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rollingmotion

Learn The Basics of Rolling Motion

September 28, 2016
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50 Comments
Introduction Although rolling wheels are everywhere, when most people are asked "what is the axis of rotation of a wheel that rolls without slipping?",…
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davidgriffths

David J. Griffiths Interview: Teaching Quantum Mechanics

September 27, 2016
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35 Comments
We are pleased to introduce David J. Griffiths, one of the most successful physics textbook authors. Odds are if you studied physics in college, you've…
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quantumparticle

Spectral Standard Model and String Compactifications

September 26, 2016
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28 Comments
 The Connes-Lott-Chamseddine-Barrett model is the observation that the standard model of particle physics -- as a classical action functional,…
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digitalcamera2

Ultimate Digital Camera Buyer’s Guide: Compacts, DSLR and Tripods

September 25, 2016
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2 Comments
Introduction Who this guide is for First, congratulations! Camera technology has advanced to the point where a complete novice, using an entry-level…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/digitalcamera2.png 135 240 Andy Resnick https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Andy Resnick2016-09-25 14:56:082026-02-16 21:29:08Ultimate Digital Camera Buyer’s Guide: Compacts, DSLR and Tripods
cmbprimer4

A Poor Man’s CMB Primer: Cosmic Acoustics

September 24, 2016
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1 Comment
 Before decoupling, photons and charged particles were in good thermal contact: though the primordial plasma might have varied in temperature…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/cmbprimer4.png 135 240 Brian Powell https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Brian Powell2016-09-24 14:50:352024-08-17 09:37:35A Poor Man’s CMB Primer: Cosmic Acoustics
digitalcamera1

Digital Camera Buyer’s Guide — Choose the Best Camera

September 23, 2016
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75 Comments
Complete seriesIntroduction Overview First, congratulations! Camera technology has advanced so much that a complete novice using an entry-level camera…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/digitalcamera1.png 135 240 Andy Resnick https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Andy Resnick2016-09-23 19:24:032026-02-16 21:27:09Digital Camera Buyer’s Guide — Choose the Best Camera
spacetimecon

Struggles with the Continuum: Spacetime Conclusion

September 7, 2016
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4 Comments
 We've been looking at how the continuum nature of spacetime poses problems for our favorite theories of physics --- problems with infinities.…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/spacetimecon.png 135 240 John Baez https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png John Baez2016-09-07 13:40:562021-04-17 15:33:25Struggles with the Continuum: Spacetime Conclusion
11dgravity

11d Gravity From Just the Torsion Constraint

September 6, 2016
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17 Comments
 It is familiar that Einstein gravity may be formulated in terms of a vielbein field together with a "spin connection", subject to the constraint…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/11dgravity.png 135 240 Urs Schreiber https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Urs Schreiber2016-09-06 12:53:512021-04-17 15:34:2511d Gravity From Just the Torsion Constraint
spacetime7

Struggles with the Continuum: General Relativity

September 5, 2016
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2 Comments
 Combining electromagnetism with relativity and quantum mechanics led to QED. Last time we saw the immense struggles with the continuum this…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/spacetime7.png 135 240 John Baez https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png John Baez2016-09-05 13:49:292024-09-30 14:40:45Struggles with the Continuum: General Relativity
namethephoto

Name the Science Photo Quiz

September 3, 2016
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16 Comments
Summer is almost over, but the fun doesn't have to stop! Take a look at the photos below and see if you can identify them.  Post your score in the comment…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/namethephoto.png 135 240 Greg Bernhardt https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Greg Bernhardt2016-09-03 15:16:492020-12-13 12:03:28Name the Science Photo Quiz
ohmslaw

Learn Why Ohm’s Law Is Not a Law

September 2, 2016
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41 Comments
At first, I wanted this title to say “Ohm’s law is not a Law.”  But someone else used that phrase in a recent PF thread, and a storm of protest…
https://www.physicsforums.com/insights/wp-content/uploads/2016/09/ohmslaw.png 135 240 anorlunda https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png anorlunda2016-09-02 22:30:242024-08-17 09:34:40Learn Why Ohm’s Law Is Not a Law
carcapacity

Why Road Capacity Is Almost Independent of the Speed Limit

August 29, 2016
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29 Comments
Introduction Let us start with a familiar situation. Take a familiar part of a road, for example, the one from your home to work. How long will it take…
https://www.physicsforums.com/insights/wp-content/uploads/2016/08/carcapacity.png 135 240 Svein https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png Svein2016-08-29 11:53:262026-02-16 21:16:36Why Road Capacity Is Almost Independent of the Speed Limit
quantumhard

Why Quantum Mechanics Feels Difficult — Mathematical Bridge

August 24, 2016
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253 Comments
[CONTENT] QM's formalism Overview of the formalism Strangely enough, quantum mechanics (QM)'s formalism isn't any more difficult than other areas of…
https://www.physicsforums.com/insights/wp-content/uploads/2016/08/quantumhard.png 135 240 ZapperZ https://www.physicsforums.com/insights/wp-content/uploads/2019/02/Physics_Forums_Insights_logo.png ZapperZ2016-08-24 13:08:562026-02-16 21:15:52Why Quantum Mechanics Feels Difficult — Mathematical Bridge
introphysics

So I Am Your Intro Physics Instructor

August 23, 2016
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14 Comments
I posted this elsewhere (on my blog), and someone mentioned that maybe it might also be useful here on PF. So I'm reproducing the entire entry here in…
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