Good to see you acknowledge the existence and properties of tunnel diodes
I already explained this nonlinear properties before you provided example with tunnel diode.
There is no such thing as "conventional resistive behaviour". There are measured V-I curves, and several mathematical models are used to explain aspects of the measurements.
I apologize for the confusing terminology, when I referred to 'conventional resistive behavior' I actually mean 'Ohmic resistance behavior'.
Different mathematical models are useful in different situations, as is typical with any kind of model of physical behaviour. Many people have a naive mis-understanding of the models' applicability.
Indeed, this aligns with my earlier points and emphasizes the importance of understanding the distinction between linear and nonlinear components, particularly regarding the applicability of Ohm's Law. I explained it before your objection.
While you may find the use of the term "Ohm's Law" in the context of nonlinear components somewhat objectionable, it's important to clarify that I talk not about predicting the behavior of the component across varying voltages using Ohm's Law. Instead, I talk about the relationship between voltage and current through resistance as it experessed in Ohm's law equation. This relationship can be used at a specific operating point to find the dynamic resistance, even in nonlinear systems.
You previously mentioned that it would be more appropriate to use different notations for resistance, current, and voltage of nonlinear component:
Rdynamic,
dv, and
di instead of
R,
U, and
I. However, I don't see much value in distinguishing the notation for resistance, voltage, and current between nonlinear and linear components.
In my point of view, what is more important - is not the specific symbols used to denote current and voltage, but rather the understanding of the distinction between linear and nonlinear component properties.