One of the basic doctrines of the Buddhist teachings is the law of karma. What is the law of karma? Science believes that an animal and a human are the result of the biological evolution theory developed by Charles Darwin. Buddhism believes that the animal and human are the result of reincarnation. In fact, the animals and humans are the result of evolution and reincarnation. In other words, living beings are the result of biological and psychological development, because both the animal and human consist of body and mind. A soul appeared when the sentient beings emerged in the universe and with this information about the actions-karma taken during their life. This information persists in the soul. Even if the karma does not grow in this life, either happiness or suffering, after the death of the animal and human the soul with karma doesn't die or fade away. It is reborn in one of the 6 animal species of the non-eternal universe depending on their karma, and still exists in the universe from one birth to another birth. If people develop their minds and healthy actions , they may arise in rebirth and even reborn as the Buddha or God. If people have an unhealthy mind, the actions that they take can to reduce their rebirth and even be reborn as hell, as a devil.Buddhist teachings describe it as the law of karma. Karma is the seed of mental, physical and verbal actions. Generally speaking, karma covers all the information about the actions committed by the living creatures, in their past and present lifetime.Until now, not only ordinary people but even scientists have not believed and accepted the law of karma. This is the main reason some people say that the Buddhist religion makes people stupid and some religions say that the Buddhist religion is misleading people. This is due to lack of scientific evidence for the law of karma. We have proved and verified the existence of the law of karma in this book with the help of Set theory and quantum physics. The book contains 3 parts and 15 chapters. In the first part, we have proved and verified the law of karma by using Set theory, while the following two conditions: first, the existence of three types of things in a non-eternal universe: matter / body, spirit / mind and imperfect cluster elements (body-mind), second, the occurrence of separation of mind and body when people and animals die.In the second part, we proved and verified the first condition and the soul with karma continues to exist in Samsara as the Wheel of Dharma or exists as the law of motion of animated matter-soul. And we demonstrate that the Buddhist philosophy has a dualist and dialectic character. In the Part 3, we proved and verified the second condition that the body and mind of humans and animals are separated, when they die by using Quantum physics, and it has an empirical testament and its own unique interpretation. Also, we demonstrate that the life is rational combination of evolution and reincarnation. The Buddhist philosophy assumes that there are non-eternal and eternal universes and they have their own objects and phenomena. We demonstrate that there are non-eternal, eternal and neutral universe and describe their facts and phenomena.At the end, we demonstrate the Buddhist teachings about how to reduce the suffering and improve the happiness and rebirth and enlightenment as well as three levels.The Buddha Gautama found the natural law of karma or the origin, development, degradation and death of living creatures through enlightenment over 2,500 years ago. But people have studied it as a religious doctrine in this period due to the lack of scientific evidence. At this time, we have proved the law, therefore, our duty is to extend this knowledge to people regardless of their religion. Learning about the law of karma is not only useful for personal development, but also vital to improve the ethics and morality of human social development.