Graduate Bounded Packet Motion: Unravel the Asymptotically Helical Trajectory

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In the article 'Cellular vacuum' (Int. J. Theor. Phys. 21: 537-551, 1982), Minsky writes: "One can prove that any bounded packet which moves within a regular lattice must have an asymptotically helical trajectory.. . " He does not explain this statement further, nor does he give any references.

I did not succeed in an internet search. I am intrigued by this feature, so I ask if anyone could help me in this regard, please.
 
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Can you provide the context of the statement perhaps. Not a journal I can access.
 

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