Noether’s theorem
In: Physics
In physics we have a lot of conservative forces. These are forces in which they can be expressed as the gradient of a potential. Two big examples are gravity and electromagnetism. The great property about conservative forces is that they conserve the energy of a particle as it moves through the field.
A good example would be a ball at the top of a valley it currently has lots of potential energy but no kinetic energy. As it rolls down the hill, the potential energy is converted to kinetic energy, then as it rolls back up that kinetic is converted into potential. No energy is lost at any point. Because gravity is a conservative force.
So what Noether’s Theorem states is when you are able to move or change in this field, you conserve the properties related to it.
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