Whenever you think or do anything that causes you to feel even the slightest bit better than how you were feeling a moment ago, you will cancel out whatever negative energy you were generating before. Every moment is a new beginning and you can use it to create reality afresh and anew with full power always. When you think of something that you do not like, then in that moment think of something else that you are happy about to neutralize the negativity and turn it into positivity.
The Law of Attraction is one of the better known universal laws. The theory behind the Law of Attraction is that we create our own realities. Not only do we attract things we want,  we also attract things we don't want. We attract the people in our lives, the stuff inside our homes, and the money in our bank accounts through our thoughts and feelings.

The Law Of Attraction How To

You claim that "positive thoughts always resulting in positive things" is not the basis of the LOA. In part you are correct. The foundational basis in science, as I alluded to in the article was that thought stuff particles travel through ether (not air) and interact with formless stuff to create whatever it is that you are thinking about. This was how "the law" started.

How To Manifest What I Desire