As I understand it for every symmetry there is associated a conserved quantity - so for time symmetry there is energy conservation. I understand as well that charge conservation is associated with a 'mathematical' local symmetry - something turning in a mathematical space at a point so to speak. What I am not clear about is what symmetry is associated with conserved currents? I understand Kirchoff type conservation but I am not understanding the use of 'current' in the context of symmetry. For instance this sentence from another post - " For continuous systems, the conserved quantities become conserved "currents". " (https://www.physicsforums.com/threa...robability-current-for-wave-functions.188784/) - I don't understand this. Does this mean that for continuous systems it is not energy that is conserved but 'energy currents' - if so what exactly is that. I have also seen the phrase Noether current but have not been able to grasp what that means. I have seen a lot of J's along the way that are meant to stand for current I believe but have not been able to fit them into my understanding. I understand current conservation in Kirchoff systems - and it ends there. Ultimate goal here is understanding what symmetry is associated with 'current' conservation, the concepts needed to get to that goal. Thanks in advance for any assistance with this.