Today, our society is about to change dramatically with the integration of real societies and information technologies like the artificial intelligence (AI) and the Internet of Things (IoT). To realize this dramatic change, new-paradigm information technologies are necessary. To produce such information technologies, in addition to the researches of the information science and the computer engineering, the collaborative researches of the mathematics to consider its principles and the physics to clarify its operating phenomena are required. We are integrating these research areas, and try to generate new technologies to change the societies beginning with the development of new-paradigm computing technology.