Random Thought

Business section of the LOLcat Times-Gazette, headline about the pedestrian eating habits of a well-known an activist shareholder

Icahn Has Cheeseburger

(sometimes on the treadmill, all one can do is think silly thoughts)

Doomed to Fail

A while back I posted some links to anti-relativity sites and gg suggested that it would be fun to debunk the claims. Sometimes that’s fun, but often — and especially after doing it a number of times — I find that it’s tedious. An error is present, and one has to find it in a morass of often awkwardly defined and unnecessarily complicated scenarios (hey, let’s use three trains, and multiple clocks which will be juggled by a clown on each train!) set up by the author. Sometimes with some horrific ASCII “art,” to boot, though some do have fancy animated gifs.

The reason one knows that an error is present in these thought experiments is because a contradiction has been found. One might think that this is a dogmatic BESS (Because Einstein Said So) argument, but it isn’t — the issue here is that the ultimate authority, and the only authority one is allowed to quote, is absent from the problem: nature. These are thought experiments, and it all boils down to doing coordinate transformations and calculations. Special relativity consists of Lorentz transformations, which are derived from the hypothesis that the speed of light is invariant; all inertial reference frames will measure the same value. This has the admittedly strange consequence (especially to the uninitiated) of time and length not being absolute quantities, which runs counter to most peoples’ everyday experience. We think in Galilean terms which serves us reasonably well in everyday experience, and the differences presented by Lorentz transformations are not apparent to us under these conditions.

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