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I appreciate that you have an open mind on these subjects. However, the laws of Physics cannot be broken. Keep this in mind as you go forward and it will help you to learn new things.
The introduction of small signal resistances is completely spurious, as mentioned in the previous thread.
The resistance of something can change depending on the current.
Here's an example:
A red LED is connected to a 9V battery in series with a 470R resistor, a the voltage across the LED is 1.8V and the current through it is 7.2mA. The resistance of the LED is V/I = 1.8/0.0072 = 250R.
The series reesistor is reduced to 390R. The current trough the LED increases to 17.7mA and the voltage across the LED increases to 2.1V. The resistance of the LED is still V/I which is now 2.1/0.0177 = 118.7R.
The LED's resistance is non-linear, it depends on the current through the LED. It's also dependant on the temperature, if you conducted the above experiment at different temperatures the resistance would vary.
You've completely missed the point, just because the resistance of something is dependant on the current, Ohm's law still applies.I don't think the barrier voltage of the Gallium metal counts as Ohm-type resistance.