Are there any laws of memory?
Memory is only a psychological construct. In reality there is only the brain, and the physiological functions of the brain. "Memory" is just a way to conceptualize some of these functions. For this reason, it's unlikely that a law will ever emerge. Part of the reason is that memory can refer to so many different things, biologically. 

Even when you get down to the actual biology, laws are not really the standard. Biology is a messy thing and virtually no laws exist that couldn't be contradicted. Something as basic as the cell theory could be reasonably argued against. Viruses are not cellular, yet an argument could be made for them being alive. It isn't the current thinking, but it's not an absurd proposition either. If psychological phenomena are a result of biology, and no laws exist in biology, I think it's reasonable to say no laws will exist in psychology either.

Perhaps one of the strongest ideas about memory is Hebbian learning. But even that is just a simplification.