These english words are built from Greek or Latin prefixes for "same" or "together" or "with". There are many others still to be explored, e.g.,
synonym - together in meaning
synorogeny - form boundaries
conclude- close together
symptosis - fall together
symptomatic - happening together
symphesis - growing together
sympatria - in the same region
symmetrophilic - lover of collecting in pairs
synaleiphein - melt together
For an evaluation of various mathematical formalizations inspired by this entrainment work, check out this paper: https://www.researchgate.net/profile/Rushil_Anirudh/publication/29991298...
The ASU team successfully quantify the advantages of metrics such as the one I suggested (HyperComplex Signal Correlation) for dancing bodies where correlated rotations and displacement are in play.
My mentor Georgia Psyllidou.
Eric Lewis who wrote a paper that introduces Stoic chemistry with a reflection on coextensively of gin and tonic.
Another greek friend and colleague, Vangelis Lympouridis, who reflects on some of these words here