Why Law of Attraction seems to be working? Well, it is perfectly simple, and there's absolutely no magic.
A lot of things happen in our life. Sometimes bad, sometimes good things. This is a fact. We think about something all the time. This is also a fact that can not be denied. And this is where whishful thinking comes in place: when something happens, something, that exactly, or almost exactly reflects what you were thinking about, you start believing, that this is a result of something greater, that whatever happened, happened for a reason.
But it didn't. The truth is simple: you just ignore other things that happen, things, that have nothing to do with your thoughts. Say, you dream about something, you can not find anywhere. Well, of course, you keep looking for it everywhere, you go. What's the chance, that sooner or later you will find it? Pretty big. No wonder that after a certain period of time you find something, what you've been looking for. Then you start looking for some strange things. And of course, you find them. If you look anywhere, you can find something strange, suspicious.
The signs? Let's say, you believe, that number 97 means something good, like for example, that whatever you though about, is about to happen (or something like that). So, after you think about something you want, you see number 97 somewhere. Magic? I don't think so.There are numbers EVERYWHERE. Every minute you see a lot of numbers, but those, that are not significant to you, are ignored by your mind. And of course, when some "significant" number finally appears, whishful thinking and a blind faith make you believe in some sort of magic.
Also the fact, that we are controlled by thoughts is worth mentioning. First, there's a thought. Then, there's an action, that is always result of a thought. Actions result in events. So there's absolutely no wonder, that some events closely resemble some of our thoughts.
This whole law of attraction thing is all about ignorance, whishful thinking and the blind faith (and a few million dollar budget of The Secret movie and countless books about TLoA).