i think a lot of this depends on the definition we're using for "electricity." going by the dictionary definition we are talking about charged particles in motion, which obviously would it make it involved in everything, and certainly much more prevalent in the human physiological processes than you're implying.
so we need to determine how your working definition of electricity differs from the dictionary definition, and at which stage does electricity cease to be electricity (according to your definition) and thus devolves or evolves into a separate phenomena.
and again, simply by the fact we exist within the magnetic field of the earth means we are literally walking in a field of energy/electric charges. atoms have an electric charge, cells have an electric charge, the brain and heart both generate significant electromagnetic fields, so it seems to me there is nowhere that electricity isnt.
This isn't correct energy /= electricity. That's like saying steam, coal, oil, wind etc. is made up of electricity, highly inaccurate. In fact, you need an energy source to generate the flow, electricity doesn't flow on its own. It has nothing to do with energy
E = mc^2 "=" (analogous to) F=ma. Energy is a type of force of course. Do you remember anything about continuity equations? In short, basic derivative calc formula for electricity is J = sigma*E, J being the flux or in this case changing electricity flow, sigma being conductivity, and E being energy source, which normally for circuit theory is defined as an electrical field. Electricity is a result of a force "forcing" particle flow. Although they are directly proportional, they are not the same. The electricity is generated by energy combine with resistance to form flux. if you dump a 1 ton rock in the middle of the ocean, it doesn't have the same displacement effect as it would at your local pool.
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