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In superconductivity, electrons form Cooper Pairs. This is achieved not via direct interaction but through medium (lattice) mediation. A similar thing is happening in Jeremie's experiment: swimmers deplete the medium around them, leading to attractive interactions and clustering behaviour (section \ref{sec:cluster}).  There My idea:  is a the  formalism for Cooper Pairs and many-body electron systems. Is this Pair formation  applicable in any way to interactions of active particles? Of course, all commutators are zero and there are no Fermi / Bose statistics; but it It  could be a new an alternative  way of thinking aboutthese  things. Define a ``field'' representing concentration. This will have creation and annihilation operators etc. Differences:   \begin{itemize}   \item All commutators are zero.   \item All particles distingusihable.   \item No Fermi / Bose statistics -- perhaps this is essential to the method?   \end{itemize}     Investigate many-body interactions. Read Derek Lee's notes on superconductivity.