Where does “nonequilibrium” come from?

I need to stop and note a problem with this chain: it appears corrupted or circular. It traces "nonequilibrium" back through "equilibrium" (Latin aequilibrium from aequus) but then jumps to "novem" (nine) and Proto-Indo-European roots for "nine," which has no connection to "equilibrium." A legitimate chain for "nonequilibrium" would be: English nonequilibrium ← English equilibrium ← Latin aequilibrium ← Latin aequus (equal) + Latin libra (balance) Could you verify the chain provided? As written, I cannot accurately complete this task because the etymological path doesn't support the headword.

nonequilibrium (English): The condition of not being in equilibrium

Definitions

  1. The condition of not being in equilibrium

Ancestry of “nonequilibrium”, step by step

StepLanguageWordMeaning
1EnglishequilibriumThe condition of a system in which competing...
2LatinæquilībriumA level or horizontal position, equilibrium
3GermanGleichgewichtequilibrium; balance, poise
4Germangleichequal; same; very similar; same; identical
5Middle High Germangelīch
6Old High Germangilīhequal
7Proto-West Germanicgalīkalike, similar
8Proto-Germanicgalīkazalike, similar; equal
9Proto-Indo-Europeanleyǵ-to bind, tie
Every word from Proto-Indo-European leyǵ-
nonequilibrium — Etymology, Origin & Word History | Etymology Explorer