Faith is a feeling and vibration. You cannot experience faith without the feeling of faith. When you really have faith about something, you must feel it. A person with a higher vibration will create their desires easier, faster and more effectively than someone who is experiencing a lower vibration. Our vibrations go up and down with our moods throughout the day. That is why it is important to be conscious of how we are feeling and keep choosing to feel positive. If you did nothing else but ask yourself, How do I feel right now? , and keep bringing yourself back into feeling good, everything else would fall into place.
It is all about consistency and frequency of vibration. Higher rate of vibration means higher speed of motion of energy. Manifestation is energy moving into form. Things take longer time to manifest on the physical plane because it exist at a lower rate of vibration. That is why consistency of faith is more important while existing on Earth. Our thoughts manifest as things instantaneously on the mental plane first before manifesting correspondingly on the physical plane over a period of time. If you could allow yourself to experience higher feelings consecutively for a certain period of time, your world will be bound to become a lot different than before in a much better way!
A favorite Abraham-Hicks’ quote of mine is “a belief is just a thought you keep thinking.” What does that tell us? That beliefs can and do change. But knowledge, understood as an evidence-based understanding of something, is unwavering. Well, maybe there’s more of an 80/20 rule about it. I mean, once upon a time we just knew the Earth was flat. Now, we know it’s not.
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.