The stuff of “unilateral conception of field vs the bilateral conception of field” was a bit rough and chaotic ahead, because that’s real time research and in urgent time.
Now piggy reorganized a part of those stuff and repeats them here for reference to those guys who are willing to touch the elephant in an alternative angle.
The magnitude of electric force for point charge in classical electromagnetism is F = KQq / r².
The intensity of electric field for point charge in classical electromagnetism is E = KQ / r².
(The upper letter “K” is the electric constant.)
We transform the equation F = KQq / r² in math.
Let K = K1 K2
Then the electric force formula can be transformed as F = (K1Q / r) × (K2q / r)
(Note: the symbol “×” means multiply only here.)
At this moment, smart guys who are sensitive in physics would be aware of this point: there might be two conceptions for the intensity of electric field.
So, we initiate the unilateral conception of field E = KQ / r² as well as the bilateral conception of field E = K1Q / r or E = K2q / r.
In unilateral conception of field: F = (KQ / r²) × q
It means field deals with particle.
In bilateral conception of field: F = (K1Q / r) × (K2q / r) = E1 × E2
It means field deals with field.
I supposes in unilateral conception of field, the electric constant should be denoted with upper letter K, while in bilateral conception of field, the electric constant should be denoted with lower letter k. K = k².
Then,
In unilateral conception of field, electric force F = (KQ / r²) × q;
In bilateral conception of field, electric force F = (K1Q / r) × (K2q / r) = (kQ / r) × (kq / r)
In unilateral conception of field, intensity of electric field E = KQ / r²
In bilateral conception of field, intensity of electric field E = kQ / r or E = kq / r
(The math here is simple. Even a schoolboy can understand it well. But it can expand human’s thought. Piggy thinks these two conceptions of field are meaningful in theoretical physics. But some specific problems are destined to be solved by bilateral conception of field, piggy guesses.)
Have a lovely day, guys.