Twins paradox

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The Twin's Paradox is a thought experiment popular in the 1970s. In essence, the 'paradox' can be stated thus: If a sidekick is presented with his mentor and his evil twin in a dangerous situation, is there any way in which the sidekick can discern which twin to help and hence save the day?

[edit] History

The Twins Paradox was first raised by Kurt Godel in 1909, in a small bar in Kentuckistan. He posed the problem to his coffee-shop chums in a cry for help with his latest film script. Although the problem would immediately spark heated debate, it would take four years for Arthur Einstein (so called because he couldn't handle strong drink; after one stein he would collapse into an ugly coffee-maid's lap and begin explaining the particulars of her ugliness) to resolve the apparent paradox.

[edit] Statement of the Paradox

Consider the following scenario. [[[Batman]] and Robin burst into the control room to confront Evil Batman. Harsh words are spoken, some tears are cried, and Batman (B) and Evil Batman (Q) start vigorously hand-fighting. They are, obviously, evenly matched.]

Here, of course, the labelling on the clothing gives them away. But not always!

Robin: I'll save you, B! I mean, Batman!

[Robin turns away to pick up 'gun' and turns back. He can no longer distinguish between particles B and Q. I mean, people.]

Robin: I am in a quandry.

Godel stated that he believed there was no way to prove that our candidate for 'good Batman' was indeed our original Batman B. Einstein, drunk at the time, stated that Godel was stupid, and ugly.

[edit] Resolution

Aha! We have found it!

The resolution of the paradox lies in the fact that, as stated, the two candidates for Bat-man-osity appear identical. This is not the case. Einstein developed a graphical method by which the differences between the two can be easily discerned: Nail-File Diagrams. As can be seen in the first diagram, the two Batcan-didates are macroscopically identical. Einstein realised that were this to be the case for all magnifications, then B = Q, a contradiction; in layman's terms, you can't have two people that are identical. That's really, really dumb. They'd be the same person, and we've already said one of them is evil and one of them is good.

For an explicit example, we will work through the case above. Note the section around the Batcandidates' left hands - near where they're touching the bow. We magnify as below.

When magnified on this scale, the difference between B and Q can clearly be seen. The problem is then reduced to Robin (whom we shall also refer to as 'Q') detecting this difference between B and Q. I mean, Q. This is soluble, as all sidekicks have some kind of superpower, by the Law of Narrative Continuity, and are assumed to be intimately familiar with the body of their master.