Question

Is there an equation that proves that Energy is always Conserved?

Answer 1

Conservation of energy. ... In physics,the law of conservation of energystates that the total energy of an isolated system remains constant, it is said to be conserved over time. This law means that energy can neither be created nor destroyed; rather, it can only be transformed or transferred from one form to another.

It's a fundamental principle in Physics, that is based on all of our currents observations of multiple systems in the universe, is it always true to all systems? Because we haven't tested or observed them all. Would it be possible to discover/create a system that could lead to a different result?

How are we 100% sure that energy is always conserved? Finally, why did we conclude it's always conversed? What if a system keeps doing work over and over and over with time?