I read this - What Is Energy? Where did it come from? - and the top answer says that 'energy' is an abstract number that is a property of nature that just so happens to be conserved because 'operations' on nature are symmetric in time (time-translational symmetry).
The other conservation law (I've heard) for an abstract number that is a property of nature is Information - as in 'Black holes must behave this way because otherwise they would violate conservation of information'. But I don't know why it's conserved.
The third abstract number that is a property of nature, but that does NOT obey conservation along the direction of time - 'Entropy'. Why isn't this conserved if the other two are?
How are these three related? Again I can't follow complex math, but these must be fundamentally related to each right?