
Tensors Explained: Beginner’s Essentials for 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…

Big Bang Evidence: CMB, Redshift & Element Abundances
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
Authorship Contributions From Anorlunda
Introduction
You may want to believe the article you read, or the video you saw, or you may be very…

The Four Laws of Black Hole Thermodynamics Explained
Black hole thermodynamics consists of four laws that mirror the ordinary laws of thermodynamics: a zeroth law of uniform surface gravity, a first law relating…

Impedance Explained: Formulas, Equations & AC Circuit Basics
Impedance is the AC (alternating current) equivalent of resistance. It is a complex number, Z = R + jX, combining resistance R and reactance X, and it…

Mass Inflation in Black Holes: Poisson-Israel Theory Explained
Mass inflation is the phenomenon in which the internal mass parameter of a rotating or charged black hole grows without bound near the Cauchy horizon,…

Potential Energy Explained: Formulas, Units & Derivations
Potential energy is the negative of the work done by a conservative force on an object, representing mechanical energy stored due to position within a…

Moment of Inertia: Formulas, Tensor, and Key Equations
What Is Moment of Inertia?
Moment of inertia is a rigid body property that relates torque to rotational acceleration, playing the same role that mass…

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: On-Shell vs Off-Shell in QFT
What Is a Virtual Particle?
A virtual particle is a mathematical device, not a physical entity, that appears in perturbation expansions of the S-operator…

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

Did the Big Bang Have a Center? The Physics Explained
The Big Bang did not happen at a single point in space, so it has no center. Standard cosmological models based on general relativity treat the Big Bang…

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…

Are Galaxy Redshifts Cosmological? The Evidence Explained
Galaxy and quasar redshifts are classified as cosmological, not "intrinsic," because they match predictions from general relativity's expanding-universe…

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

Why Wasn’t the Early Universe at Maximum Entropy?
No. The second law of thermodynamics states that entropy can only increase over time. If the early universe had begun in a state of maximum entropy, the…

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 Is Bigger Than Its Age
The observable universe has a radius of about 46 billion light-years, far larger than its age of roughly 14 billion years. This happens because space itself…

What Is Heat? The Real Thermodynamics Definition Explained
Heat is not something a body possesses. Heat is a transfer mechanism: the non-mechanical exchange of energy between a system and its surroundings that…

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 Don’t Electrons Crash Into the Nucleus? Explained
Atoms are stable because electrons do not behave as classical orbiting particles. Quantum mechanics describes electrons using wavefunctions and stationary…

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 Big Bang Wasn’t a Black Hole: Cosmology Explained
The Big Bang was not a black hole because it happened everywhere in space at once rather than at a single point, and because the near-perfect homogeneity…

Learn About Energy Gained by Charge in an Electrostatic Field
Energy gain of an electron in a potential V
I have seen this question being asked frequently on here. A lot of students have a bit of an issue in understanding…

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? What Physics Tests Reveal
All current astronomical observations are consistent with zero global rotation of the universe. Solar-system data set a model-independent upper limit of…

Does Heisenberg’s Uncertainty Principle Break Energy Conservation?
Direct answer: No, the Heisenberg time-energy uncertainty relation does not violate conservation of energy in quantum mechanics. The relation describes…

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

Why a Rigid Rod Can’t Send Faster-Than-Light Signals
A perfectly rigid rod cannot send faster-than-light (FTL) signals because no such rod exists. Every real material transmits mechanical disturbances at…

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?
Overview
General relativity predicts that disturbances in the gravitational field propagate as gravitational waves, and that low-amplitude gravitational…

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: NOCommon source of confusion
However, this is where it gets a bit confusing for most people. This is because,…

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?
Short answer
The short and sweet answer if a tennis ball, a bowling ball, or any other kind of ordinary macroscopic…

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: Lasers, Spying, Broadcasting & the Moon
This piece is intended to have a logical basis but should not be taken as purely factual or legal advice.Outer space law leaves several activities…
