panda have you watched that strange film called InterStellar - it will answer all your questions or question all your answers as it is incomprehensible, like all astrophysics to normal people..
chocolate was just coming back to say, that ds1 lies quite often, it is more like a game he plays to feel in control. Today he told me he had walked to Reading. (which is about 30 miles away I think? 
) as you say it is a developmental stage and to do with independence, but it comes out in very upsetting ways for parents too, not just fake walks to Reading so stay strong but she will work out that she can be independent without needing to lie. eventually. [twenties?] I'm sure I used to lie a lot, not exactly lie, more like decieve or misinform. It is keeping secrets really, not lying.
Just been reading A Pair of Blue Eyes. Even more gripping than Othello, equally tragic, and full of lies. Hardy for you.