With thanks to all contributors so far, here is my own answer to the question, with an explanation after it, for anyone interested in how I reached it. Even though I would now make some small changes as I can see that it's not quite as clear as it seemed to me at first, I've left it as I first wrote it, with whatever faults you feel able to point out.
“THE ESSENCE OF CHEMISTRY resides in the dynamics of electrons interacting with the electro magnetic (em) field - primarily that provided by nuclei – while also being constrained by the Exclusion Principle. The influence of gravity can usually be ignored.
One can then visualise chemical activity as the rearrangement of nuclei within the em field of its accompanying electrons, subject to the thermodynamics of changing conformations and reactivities.
The thermodynamics of changing conformations and reactivities depends, in turn, on the affinities of atomic and molecular species that result from electronegativities - the net effect of the electronic structure enveloping the nuclei, providing the influences for the essential dynamics outlined above."
This summary is a shortened version of a minor epiphany that occurred to me, as an improvement in my own mental model of what chemistry is about, some time after being stimulated by reading
https://www.newscientist.com/article/dn25894-meet-the-electric-life-forms-that-live-on-pure-energy/
[The final year of my undergraduate degree specialised in physical and inorganic chemistry, omitting organic chemistry, and consequently I never developed any real sense of biochemistry.]
But as a former quantum chemist, I felt that the idea that life could “feed off electrons” was something that I should have some familiarity with. After nagging at me for a few years I recently got round to looking into this subject in sufficient detail.
At first, I couldn’t see beyond the biochemical explanation that “life runs on electron transfer” from the potential energy drop down the
https://en.wikipedia.org/wiki/Electron_transport_chain Etc (pun intended) resulting in “cells using the free energy of ATP”.
[ I should mention that my way of understanding scientific ideas (and most other things) is generally based on being able to
visualise something.]
So, it wasn’t until I could finally bridge my visual/conceptual gap by mentally
seeing how the free energy from ATP enables key cellular tasks: by donating one of its phosphate groups in a way that “changes the shape or reactivity of biomolecules” e.g. by something as straight-forward as the mechanical work of muscle contraction via actin-myosin interactions
www.ncbi.nlm.nih.gov/books/NBK9961/
So, ATP can cause changes in the conformation of some biomolecules and by understanding that I finally
felt (!) that I had achieved a satisfying understanding of how, ultimately, it can be said that life feeds off electrons.
I look forward to learning more from any points where you think I could improve it (using the remaining 41 words).