Comments by "" (@jmitterii2) on "Numberphile"
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***** The law breaks down because it isn't the most accurate model on exactly what is going on. Its wrong for many other conditions. Ohm's Law is only called a law for historical reasons, and since now many stipulate the conditions, its okay to describe Ohm's Law as a Law, but not a model or theory.
It incorrectly describes current, voltage, and resistance relationship in conductors for all conditions. It doesn't even work for diodes. People still use it because for normal everyday electronics tend not to be superconductors and aren't working with diodes and other components that violate Ohm's Law. Or they'll switch away from Ohm's Law. Because it isn't accurate for their use.
As for electrical resistance, at the critical temperature, there really is 0 resistance in that material. While the flaws and vibrations of the atoms do exist, the electrical resistance is 0. So far tests show even after 50 years the current is still preserved. The atomic flaws and vibrations appear not to interact with the initial current being induced into a superconducting circuit, those flaws and vibrations don't provide any resistance to the current. And current can store forever in the closed system and not violate thermodynamics because no new energy is being created.
Newtonian physics meets Einstein Relativity. One model does good enough job for most things currently, but the other is more accurate and must be used for those conditions requiring its use because Newtonian physics is fundamentally, as a model is wrong for all conditions, Einstein does all of the conditions Newtonian physics allows plus more, so its a more accurate model. Same with Ohm's Law vs BCS Theory, London Theory, etc.
http://www.supraconductivite.fr/en/index.php?p=supra-resistance-supra
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