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The Law of Attraction operates based on your unconscious mind. This means that whatever you’ve got going on inside will determine the things that are brought to you on the outside. The goal is to recognize recurring patterns as quickly as possible, so you can reconcile internal issues and get your ship sailing smoothly again. You see the signs and oftentimes you consciously choose to ignore them. The more you ignore the signs, the stronger they become, though. A big part of cleaning up what you’re attracting externally is to become aware of what you have going on internally.
Don't be stagnant. Your ideal partner isn't going to come any faster if you're just sitting around, waiting for them to show up. In fact, Rachel Christie, Law of Attraction Life Coach and Reiki Master, tells Bustle. "When we are vibrating in a space of needing someone or something, this lack energy actually pushes away what we desire." But if you want the universe to be on your side, it's all about trust and allowing it to work its magic.
But the one who really first articulated the Law as general principle was Prentice Mulford. Mulford, a pivotal figure in the development of New Thought thinking, discusses the Law of Attraction at length in, for example, his essay "The Law of Success", published 1886-1887. In this, Mulford was followed by other New Thought authors, such as Henry Wood (starting with his God’s Image in Man, 1892), and Ralph Waldo Trine (starting with his first book, What All the World's A-Seeking, 1896). For these authors, the Law of Attraction is concerned not only about health but every aspect of life.
I am trained as a "hard science" PhD in Pharmacology and do understand scientific method. The LOA is not based on scientific method and the erroneous conclusions in metaphysics are based on incorrect scientific assumptions. These assumptions may have seemed reasonable in the 1800s that there was no air around us, only ether and that thoughts only transmit through ether. Perhaps this assumption is correct, however we are not surrounded by ether.
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.