MH,
I always appreciate your staunch adherence to the well worn books. I won't go into where I have found them lacking as that would be a pointless battle with you, as any battle with you would be
Go ahead and post the math. I don't need the refresher but others may.
The fact is when you charge a spring you are storing energy in the spring. When you charge an inductor you are storing energy in magnetic fields. (yes, you can go deeper and say the energy is stored in the same forces, either way)
The spring analogy is well understood by me and any other propeller head. It cannot be understood or associated well by those using real springs in everyday work and life because they have a 'real' not 'ideal' experience with springs.
The same goes for the difference between 'proof' and 'a proof'. There is no real difference in the book definitions but the real people know the difference. 'A proof' is a solution to a model. 'Proof' is a solution to the reality you can sense with your senses.
I have no argument with you on the maths for the model. When I have an argument it is with the application of the model or the construction of that model.
When was the word 'Theory' removed from 'theory of electricity' and 'theory of magnetism'?
When I watch you try to teach someone basic physics concepts I am pleased.
The problem is you don't walk away gracefully.
My next impressions are like watching the local religious zealot try to force my neighbor to believe 'The Word' with that neighbor having no starting point for such a belief.
Why should he?
To the zealot it is all fact.
Others want to know where is the basis for that fact.
The offering are 'proofs' for models?
To you and I models of reality represent reality. (I hope you agree about models of reality simple representing reality and not actually being reality?)
For most things this is good enough for me, not for the majority of folks.
You can argue the spring analogy as much as you wish. It doesn't change anything. Physics books are full of such 'close-enough for the masses' analogies.
Sorry for busting in on this. I'd rather just continue watching the flurry.