
What Are Tensors and Why Are They Used in Relativity?
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If you try learning general relativity, and sometimes special relativity, on your own, you will undoubtedly run into tensors. This article will outline…

Evidence for the Big Bang: CMB, Hubble’s Law, FAQ Guide
Big Bang: Key PointsHubble's law (redshift of galaxies) and the Doppler effect provide direct evidence that the universe is expanding away from our…

Why We Don’t Discuss Perpetual Motion Machines (PMM)
Authorship Contributions From AnorlundaYou may want to believe the article you read, or the video you saw, or you may be very proud of your PMM invention.…

Black Hole Thermodynamics: Four Laws Explained — Guide
Overview
Black hole thermodynamics is summarized by four laws that closely parallel the laws of ordinary thermodynamics. Below I present each law, the…

Impedance in AC Circuits: Definition & Key Equations
Definition / Summary
The impedance of a load (a combination of components) in an AC circuit is a complex number [itex]Z = R + jX[/itex], where [itex]R[/itex]…

Mass Inflation Inside Black Holes — Explanation & Equations
Definition and summary
Abstract from Poisson and Israel (1990), "Internal structure of black holes":
"The gravitational effects associated with the radiative…

Potential Energy Explained — Definitions & Formulas
Definition / Summary
Potential energy is the negative of the work done by a conservative force. It represents stored mechanical energy associated with…

Moment of Inertia: Definitions, Formulas & Tensor Guide
Definition / Summary
The moment of inertia is a property of a rigid body that relates torque (rotational force) to rotational acceleration in the same…

What is the Double Slit? A 5 Minute Introduction
Definition/Summary
The double-slit is a simple configuration used to demonstrate interference effects in waves.Equations
At distances that are…

Virtual Particles Explained — Quantum Field Theory
Definition / Summary
Virtual particles are a mathematical device used in perturbation expansions of the S-operator (transition matrix) for interactions…

Lenses and Pinholes: What Does “In Focus” Mean?
In introductory physics, the optics unit often teaches about virtual and real images, focal lengths, indexes of refraction, etc. Some questions that are…

Did the Big Bang Have a Center? Explaining Cosmology
Did the Big Bang Have a Center?
What the standard models say
According to standard cosmological models based on general relativity — and which agree…

Why Won’t You Look at My New Theory?
In any forum where science is discussed, there will always be people who have a great new personal theory and can't understand why no one else is interested…

At What Velocity Does the Universe Expand and Can It Be Faster than Light?
Neither of these questions makes sense in the form in which it was posed. To see why, let's start by thinking about how we know the universe is expanding.The…

Evidence that Galaxy and Quasar Redshifts Are Cosmological
How do we know that the redshifts of galaxies and quasars are cosmological and not "intrinsic"?
Evidence for the cosmological interpretation
Historical…

Why Is the Speed of Light the Same in All Frames of Reference?
The first thing to worry about here is that when you ask someone for a satisfying answer to a "why" question, you have to define what you think would be…

Was the Early Universe in a Disordered State?
No. The second law of thermodynamics says that entropy can only increase, so if the early universe had been in a state of maximum entropy, then the cosmos…

Do Black Holes Really Exist?
Introduction
The purpose of this article is to discuss the title question from several different viewpoints, to show that it isn't as simple as it looks.…

Why the Observable Universe Radius Exceeds Its Age
The radius of the observable universe is about 46 billion light-years, which is considerably greater than its age of about 14 billion years. The radius…

What Is Heat? Definition in Thermodynamics Explained
One of the most frustrating misconceptions in thermodynamics centers on the actual definition of heat. Many science and engineering students refer to a…

What Is the Steady-state Model and Why It’s No Longer Viable
Introduction to the Steady State Model
Back in 2011, I wrote a FAQ entry for Physics Forums on the steady state model and why it is no longer viable.…

Why Electrons Don’t Crash Into the Nucleus — Quantum View
Atoms and Coulomb forces
If atoms were described only by Coulomb attraction, the electron and nucleus would attract each other and, according to classical…

How Does an Airplane Wing Work? A Primer on Lift
Many people ask how an airplane wing works, and several answers are commonly given. You might have even seen vigorous arguments between proponents…

Why the Early Big Bang Universe Didn’t Form a Black Hole
Why the Big Bang Is Not a Black Hole
In the early universe, the matter was gathered together at very high density — so why wasn't it a black hole?
Big…

Learn About Energy Gained by Charge in an Electrostatic Field
I have seen this question being asked frequently on here. A lot of students have a bit of an issue in understanding why, if an electron is placed in a…

A Geometrical View of Time Dilation and the Twin Paradox
Based on the number of questions we receive on the topic at Physics Forums, there is a lot of confusion in the general public about how time dilation works…

Is the Universe Rotating? Evidence, Tests & Limits
Can we tell whether the universe is rotating?
If you believe wholeheartedly in Mach's principle, there is no way to test empirically for the rotation…

Does Heisenberg Uncertainty Violate Energy Conservation?
The short answer is: No — there is no violation.
The longer answer
Given the probabilistic aspect of quantum theory, what do we mean now by "conservation…

Do Photons Move Slower in a Solid Medium?
This question appears often because it has been shown that in a normal, dispersive solid such as glass, the speed of light is slower than it is in a vacuum.…

Why Rigid Rods Can’t Send Faster-Than-Light Signals
Why a rigid rod can't send faster-than-light signals
One common proposal for achieving faster-than-light (FTL) communication is to use a long, perfectly…

PF’s policy on Lorentz Ether Theory and Block Universe
What is the PF's policy on Lorentz Ether Theory and Block Universe?Debates about the superiority or "truth" of modern Lorentz Ether Theory (LET) and…

Does Gravity Gravitate?
The title question of this article is one that often comes up in PF threads, and I would like to give my take on it. This will be the first…

Why Is Acceleration Due to Gravity a Constant?
This question has popped up many times. So here is an attempt to address it.To answer this question at the elementary level, several assumptions will…

Why Does C Have a Particular Value, and Can It Change?
Short answer:
Because c (speed of light) has units, its value is what it is only because of our choice of units, and there is no meaningful way to test…

How Fast Do Changes in the Gravitational Field Propagate?
General relativity predicts that disturbances in the gravitational field propagate as gravitational waves, and that low-amplitude gravitational waves travel…

Will All Matter Be Converted to Photons?
Will all matter be converted into black holes and then photons?
No. There is a misconception that a lot of laypeople seem to be picking up recently from…

Do Photons have Mass?
Do photons have mass?
The quick answer: NOHowever, this is where it gets a bit confusing for most people. This is because, in physics, there are several…

Bell Spaceship Paradox: Why the String Breaks in SR
Bell spaceship paradox — setup
Bell describes two spaceships that start out at rest relative to each other with an elastic string between them, one…

Why You Can’t Quantum Tunnel Through a Wall
Can You Quantum Tunnel Through a Wall?
The short and sweet answer if a tennis ball, a bowling ball, or any other kind of ordinary macroscopic object can…

What is relativistic mass and why it is not used much?
It happens that the term relativistic mass is used, in particular in the introductory text on special relativity. It should be noted that whether or not…

Space Law Explained — Outer Space Treaty & Satellite Rules
*This Insight is intended to have a logical basis but not to be taken as purely factual or legal advice.
Key PointsOuter Space Treaty does not provide…
