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About bcrowell

PhD in physics. I teach physics at Fullerton College, a community college in Southern California. I enjoy writing, playing viola, brewing beer, climbing and mountaineering.

Entries by bcrowell

At What Velocity Does the Universe Expand and Can It Be Faster than Light?

February 9, 2016/in Physics FAQs/by bcrowell

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 expansion of the universe was originally discovered by Hubble, who found that the redshifts of galaxies were proportional to their distances from us. To keep…

Why Is the Speed of Light the Same in All Frames of Reference?

January 17, 2016/in Physics FAQs/by bcrowell

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 have to define what you think would be satisfying. If you ask Euclid why the Pythagorean theorem is true, he’ll show you a proof based on his…

Was the Early Universe in a Disordered State?

December 29, 2015/in Physics FAQs/by bcrowell

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 would have experienced its heat death immediately after being born. Entropy and the Early Universe: A Paradoxical Beginning This contradicts the observation that the present universe contains…

What Is the Steady-state Model and Why It’s No Longer Viable

December 8, 2015/in Physics FAQs/by bcrowell

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. Since then, I’ve learned more about the theory, and it turns out that Fred Hoyle was a lot cleverer than I’d assumed. The following is an…

Why Does C Have a Particular Value, and Can It Change?

September 10, 2015/53 Comments/in Physics FAQs/by bcrowell

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 whether it changes. These questions are more meaningful when posed in terms of the unitless fine structure constant. Nobody knows why the fine structure constant…

How Fast Do Changes in the Gravitational Field Propagate?

September 7, 2015/20 Comments/in Physics FAQs/by bcrowell

Overview General relativity predicts that disturbances in the gravitational field propagate as gravitational waves, and that low-amplitude gravitational waves travel at the speed of light. Gravitational waves have never been detected directly, but the loss of energy from the Hulse-Taylor binary pulsar has been checked to high precision against GR’s predictions of the power emitted…

Will All Matter Be Converted to Photons?

August 25, 2015/41 Comments/in Physics FAQs/by bcrowell

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 popularizations, which is that all the matter in the universe will first be sucked into black holes, and then recycled into photons in the distant future through…

Learn the Relativistic Work-Kinetic Energy Theorem

August 23, 2015/19 Comments/in Physics Articles/by bcrowell

I was bothered for a long time by the reasons for the relativistic validity of the work-kinetic energy relation ##\Delta E=Fd##, which holds without any need for corrections. We’ve discussed this before here on PF,  but I think at this point I understand it better, so I thought I’d post a summary of my present…

Bell Spaceship Paradox: Why the String Breaks in SR

August 12, 2015/33 Comments/in Physics FAQs/by bcrowell

Bell spaceship paradox — setup Bell describes two spaceships that start out at rest relative to each other with an elastic string between them, one end attached to each ship. The string is initially just long enough to span the distance between the ships without being stretched. The acceleration and the question The ships’ clocks…

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