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By Garth Sundem | June 25th 2009 06:05 AM | 1 comment | Print | E-mail | Track Comments
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About Garth Sundem

Do you need a Monday morning shot of geekery?

If so, you've come to the right place. Every Monday, early, I'll drop splendid geekery from the fields of physics, math, computer science, zoology


... Full Bio

Newton’s apple fell from the tree and after thumping the scientist on the head, fell benignly to the ground. If the same apple fell toward Einstein (and happened to have a little added atomic oomph), it could, according to special relativity, become infinitely massive, flattening not only the unfortunate Einstein as he sat bodhisattva-like beneath the tree, but also the Earth itself.

This doesn’t mean Newton was wrong—only, that his theories apply more accurately to things traveling at speeds that don’t approach the speed of light (from slow-moving atomic particles to city transit busses). The crucial postulate of Einstein’s theory is the idea that the speed of light is measured to be exactly the same no matter the motion of the observer.

If you think about it, this is a little weird: usually speed does depend on the motion of the observer—if you are driving down the highway, you will measure the relative speed of a bicyclist very differently than would a kid sitting at a roadside lemonade stand. Don’t worry—unless you, the bicyclist, or the kid is traveling near the speed of light, you can leave your intuitive understanding of this situation intact.

With the speed of light remaining constant (c=3x108 m/s), other terms in equations that include c must—sometimes counter intuitively—be variable. For example, Einstein’s now-accepted interpretation of the Lorentz transformation proves that time is variable, meaning that if a very, very fast spaceship returned to earth, the clocks on the ship would lag behind the time shown on Big Ben.

Special relativity also relates mass and energy as variables (E=mc^2), which explains nuclear power and explosions (generally, since c is a huge constant—especially c-squared—there’s a whole lot of energy trapped in a little bit of mass. When scientists found a way to liberate this energy, things went boom).

Join me every Monday morning for more grandtastic goodies from The Geeks' Guide to World Domination. Or if you like your geekery delivered fresh, consider subscribing to my rss feed or joining my Facebook Fan Page.

Comments

rholley's picture
Special Relativity Makes My Brain Hurt

Mine too!  I wasn't until (being a complex number freak) I could take on board Minkowskian Spacetime that I could start to believe it.


c=3x10^8 m/s

In other words, the speed of light equals one foot per nanosecond (to within 1%.)

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