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Acoustic communication impossible in even-D

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Arnold, an in interview with Lui in Notices of the AMS, Volume 44, no 4, p432 says:

"It is a far-reaching generalization of the well-known fact of the impossibility of acoustic communication in the even-dimensional spaces (for instance, in the “plane” world), while in our three-dimensional world we communicate easily."

What is he referring to?

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