Post Closed as "not a real question" by S. Carnahan, David Speyer, Qiaochu Yuan, Pete L. Clark, Greg Kuperberg

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Answers can come in mathematical, physical, and philosophical flavors.

Edit: There seems to be a consensus that this question is not formulated well. I must respectfully disagree. My interest in the question is immaterial to the question itself. It is manifestly not a "what is" question. I see no reason to write more than is necessary for the formulation of the question, and I invite nothing more than a sentence giving me something to think about or an idea of where to look.

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What is the meaning of symplectic structure?

Answers can come in mathematical, physical, and philosophical flavors.