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The Physics of Relativity and a Lesson in Skepticism PDF Print E-mail
Swift
Written by Matt Lowry   
Thursday, 04 August 2011 00:00

I often spend at least a few days or, if I’m lucky, a few weeks addressing the topic of modern physics (that is, post 19th-century physics) in my high school classes towards the end of the year. And the topic I spend the most time on is Einstein’s theory of relativity, something which never fails in gaining the interest of my students, despite the fact that summer vacation is just around the corner. It’s one thing to talk about Newton’s laws, force diagrams, and vectors, but once you get to that “good stuff” like light speed, time travel, and whatnot the students perk right up. That’s precisely why I teach the topic at the end of the year when it is most difficult to keep classes on track.

Whenever I introduce this topic I start off with a very basic review of the physics of relative motion – many students roll their eyes at this introduction as “too simple” because it is a rehash of simple vector addition. For example, if you are traveling down a road in a bus that is moving at 50 mph and you throw a ball in front of you at a speed of 20 mph (from your viewpoint), an observer on the side of the road will see the ball moving at 50 mph + 20 mph = 70 mph, assuming there is no acceleration involved. But here’s the rub, and quite an extraordinary claim on my part: that idea is wrong!

Now that usually gets my students’ attention. How can this simple rule of velocity addition be wrong?! Don’t we use these rules all the time in the world around us to do everything from plan out plane routes to driving down the freeway? When I drop the “this rule of velocity addition is wrong” bomb on my classes, it is wonderful to see the immediate skepticism on display in both the students’ questions and mannerisms. Some of them even look at me as if I’ve lost my mind.

And this is a good thing, folks. By the end of the school year, I want my students to feel free to openly express their skepticism as an exercise in critical thinking. They should question me about a claim so bold as “the velocity addition we’ve used all year is wrong”, and they should demand a really good argument as to why my claim is accurate. And I should have to work hard to justify the claim, and I do.

Starting with a detailed analysis of the Michelson-Morley experiment, perhaps the most famous failed experiment in history, is a good start. I take my students through the 19th-century idea of a hypothetical “ether” which was thought to permeate all of space and thus provide an intangible medium through which light waves could propagate, and how Michelson and Morley set up an experiment in the 1880s to detect this ether by measuring very slight shifts in the speed of light relative to the motion of the Earth. Of course, as any student of physics knows, this experiment is so famous precisely because it failed so utterly – the Michelson-Morley experiment detected absolutely no shift in the speed of light, no matter what the conditions!

What this means is that, no matter how fast the relative motion of the observer is to the platform launching the light, they will always measure the same value as an observer on the platform. The platform could be moving at 99% the speed of light, and both observers will still measure the same value for light speed.

Once this fact (and it is an experimental fact, verified repeatedly over the last 120 years) starts to sink in with my students, they can start to learn how it leads to all manner of strangeness. Some of these effects include time dilation, where the rate at which time is observed to pass is seen as slower when the clock is moving relative to the observer. This is another bold claim on my part, but it follows logically from an analysis of the constancy of light speed as outlined by the Michelson-Morley experiment. I not only argue this from the standpoint of logic, but I actually have my students perform an experiment whereby they confirm the reality of time dilation for themselves, thus cementing the notion in their minds.

And last, but not least, as the lessons go on I show my students how other consequences of Einstein’s theory of relativity have led to the development of some important forms of modern technology: nuclear power plants operate on the principle of mass-energy equivalence (E = mc^2), and the GPS system wouldn’t function were the effects of time dilation through general relativity not taken into account. So these seemingly weird and outlandish ideas, which my students so rightly question with skepticism in the beginning, turn out to not only be true but lead to devices (think GPS receivers) they can hold in the palm of their hands.

Wow, that’s powerful stuff.

And therein lies an inherent danger: the desire to cling on to some kind of “far out” or oddball idea because of the “coolness” factor. This is where so many physics cranks, charlatans, and New Age gurus of various stripes take advantage of the credulous – they make the extraordinary claim but then play off the gullible who don’t demand the extraordinary evidence to back it up.

Relativity theory is cool not just because it proposes outlandish ideas… it is cool because it is real. It really does describe the way in which the universe around us functions, and that reality is borne out by decades of hard work, experimental verification, and – yes – skeptical thinking about the claims.

As my students have learned by the time they leave my class at year’s end, being skeptical isn’t about simply pooh-poohing and dismissing claims, it is about applying a sharpened and well thought-out reasoning process to distinguishing good claims from bad claims. And without this key aspect of skepticism, reality would be very much lost to us.

 

Matt Lowry is a high school & college physics professor with a strong interest in promoting science education, skepticism and critical thinking among his students and the population in general. Towards these ends, he works with the JREF on their educational advisory board, and he also works with a number of grassroots skeptical, pro-science groups. In what little spare time he has, he blogs on these and related subjects at The Skeptical Teacher.

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Failed Experiment?
written by Jadawin, August 04, 2011
While the Michelson-Morley experiment did not detect a difference in the speed of light, and did not show evidence of the luminiferous ether, in what way was it a failed experiment?

Experiments are designed to test one or more hypotheses, not to prove them. That this particular experiment did not prove the hypothesis(es) being tested does not mean it failed as an experiment.
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written by Marcuse, August 04, 2011
@Caller X

You miss the point that Lowry puts a false claim to the students to deliberately invoke skepticism in them. He gets them to think like "that´s not true is it?!". Then he shows them it is true but only for light. Many consequences of the General Theory of Relativity is paradoxical.
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written by Jadawin, August 04, 2011
Actually, it is not really a false claim. It's just that for non-relativistic speeds, v1 + v2 is extremely close, because (v1)(v2)/c^^2 is extremely small.

combined velocity = (v1 +v2)/(1 + ((v1)(v2)/c^^2))
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written by Beelzebub, August 04, 2011
Just to be awkward, but CallerX is actually correct! smilies/cheesy.gif
The numbers were given to zero decimal places (Declared INT, as it were), so even with relativity taken into account, the answer is still 70!!
The actual answer is 69.999766667444441851860493798354, give or take, which is 70 in the terms that the problem was stated smilies/cheesy.gif
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written by MadScientist, August 04, 2011
I object to the characterization of the Michelson-Morley experiment; the experiment itself was a fantastic success. The experiment was carefully planned, well thought out, and the data gathered was of excellent quality. The experiment and its results were so good that Michelson had to face the fact that the concept of the ether was wrong (though he had some small difficulty accepting his own brilliant results). Michelson went on to do many other vital experiments and continued to develop ideas which are still in use by astronomers, chemists, physicists, engineers, and so on.
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written by Caller X, August 04, 2011
Failed Experiment?
written by Jadawin, August 04, 2011
While the Michelson-Morley experiment did not detect a difference in the speed of light, and did not show evidence of the luminiferous ether, in what way was it a failed experiment?


I was going to address that too, but eventually the critique gets as long as the article. Here's the deal: it was a failed experiment because Wikipedia said so. Not because it "failed" in any way.
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written by William, August 04, 2011
GPS system? One of my pet peeves. Like ATM machines, PIN numbers, and NIC cards.
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written by Caller X, August 04, 2011
written by Marcuse, August 04, 2011
@Caller X

You miss the point that Lowry puts a false claim to the students to deliberately invoke skepticism in them. He gets them to think like "that´s not true is it?!". Then he shows them it is true but only for light. Many consequences of the General Theory of Relativity is paradoxical.


Seriously? Hey kids, 2+2=3! Nevermind what I've taught you all semester! There! I've invoked skepticism in you!

Then he shows them it is true but only for light.


Only for light? So he left out propagation of gravity in a vacuum?

Many consequences of the General Theory of Relativity is paradoxical.


Your statement, while untrue, stands on its own.
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written by rwpikul, August 04, 2011
@Marcuse: No, not only for light. Length contraction will impact any such addition of velocities.

@Caller X: No, it is not a false claim. The distance the second object moves in the moving frame will be shorter when measured in the stationary frame, it does not matter what or how fast the second object is moving.
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What's the experiment?
written by tudza, August 04, 2011
What's the experiment for showing time dilation? Something to do with a GPS unit?
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written by Caller X, August 04, 2011
"c^^2"

Please to be explaining what the unusual typography means. I know c^2 is c squared, but what is "c^^2"?
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written by Jadawin, August 04, 2011
@Caller X,
My bad. it appears that my '^' key stuttered (twice!). i had intended c squared.
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written by Flint, August 04, 2011
@tudza

Probably pointing a Geiger counter at the sky and extrapolating the lifetime of fast moving muons.
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What was the experiment?
written by epepke, August 04, 2011
What was the experiment you have your students do?

In high school, we did the Michelson-Morley experiment (lasers and half-inflated inner tubes make it a lot easier).
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The Michelson-Morley experiment was a "failure" because...
written by MattusMaximus, August 04, 2011
... it didn't detect what Michelson and Morley set out to detect: the ether. I agree that the failure of the M&M experiment to detect the ether was a wonderful thing, but it did indeed fail to do what the original designers of the experiment wanting it to do. Hence the success of a "failed" experiment. That's what I meant to get across in my Swift post.
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Since you asked, the experiment I have my students perform...
written by MattusMaximus, August 04, 2011
... is determining the lifetime of a moving muon and comparing it to the lifetime of a muon at rest in the lab frame of reference. These are naturally occurring muons which are generated high in the atmosphere (at an altitude of roughly 6000 meters) and move towards the surface of the Earth at about 0.9952c. Based upon the measurements the students make in the lab, and the subsequent lifetime of a muon at rest in the lab frame, they try to reconcile the observation of so many muons at ground level when very few should exist. The way to reconcile this is due to the effect of time dilation upon the moving muons - they "live" for approximately 10 times their proper lifetime and are thus able to traverse the 6000 meters before too many decay away.

Unfortunately, I don't actually do the Michelson-Morley experiment for my students due to a lack of equipment, but I do show them the basics of how a Michelson interferometer works, including displaying for them the interference fringes set up by adjustments made to the arms of the interferometer. This helps them to understand the basic idea of the Michelson-Morley experiment.
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Thanks
written by The Gear Head Skeptic, August 05, 2011
Mr. Lowry,

Thanks for your great post, and for your efforts as an educator. Twenty years ago, I had a physics teacher in high school who lit a fire in my mind that has continued to grow ever since. Her teaching methods for Relativity theory were very similar to yours, and those weeks are among my best memories of high school, even if it did make my brain hurt at first.

She, more than any other individual, is responsible for my passion for science, and my awe and wonder at the natural universe we are a part of. Her physics classes were the first turning point for me on my path from True Believer to "Reality Enthusiast". I'm sure you've had similar impacts on students over the years, even if you were never aware of it at the time.

A few years ago, I contacted her again to say thanks, and tell her about the lasting effects her lessons had on my life. I encourage everyone who had a really great teacher in the past to do the same.

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