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Configuration space

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Summary

The space of possible instantaneous configurations of a system before momenta are added.

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Configuration spacePhase space

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This is an authored directed relation from the source endpoint to the target endpoint.

Authored explanation

For a smooth configuration manifold QQ, the standard phase space is the new manifold TQT^*Q with its canonical symplectic form; it is not the same carrier with extra data.

How to interpret this relation type

Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.

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