The Twins Paradox – a lifelong puzzle

When I was studying physics in college, one of the early subjects was Einstein’s special relativity theory.  The subject is called “relativity” because it explains the physics of objects moving relative to each other.  It is “special” because it only applies to uniform relative motion, not motion induced by gravity, which is covered by “general” relativity, which Einstein described a decade later.

Special relativity replaced Galileo’s and Isaac Newton’s earlier theories, which were superb at explaining falling objects and orbiting planets, but had run into trouble explaining the properties of fast-moving electrons and light.

It is an early subject in the physics curriculum because as students, we were just learning the techniques of calculus and linear algebra; techniques that are helpful, but not required to understand special relativity.  Most people are familiar with special relativity, and even if they don’t understand the details, they have heard “E=mc2”, one of the consequences of it.  They may also have heard about time dilation, the effect of a moving clock slowing down relative to a stationary one.

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Open Pits and Bathtubs

I had to agree that it was an unusual gas station. 

It looked like an airport control tower with a cantilevered roof that protected the customers at the gas pumps – protection from rain and sun that is common today but in 1978, and certainly 20 years earlier when built, it was novel.  The pumps were fueling the local cars:  a mix of old gas guzzlers and newer more fuel-efficient models that were a response to the oil embargos of the 70s.

We were on the way to our business destination—the US Steel mine near Mountain Iron Minnesota, a town slowly being eaten up by the open pit mine as it followed the deposits of diffuse iron known as taconite.

I was the passenger in Steve Haverberg’s VW microbus.  Steve was familiar with the area and knew I would enjoy seeing a gas station that had been designed by Frank Lloyd Wright.  We needed gas anyway and it was a good time to stop and stretch. 

Another vehicle was also on its way to the mine, but had taken a more direct route.  It was equipped with a 4-foot long cylindrical probe, to be lowered by cable into a drill hole.  A custom-built instrument specialized for detecting iron ore was also in that truck.

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