Dematerialization has been an unofficial key driver for modern manufacturing, playing a significant role in revolutionizing the way products are designed and produced. This concept involves reducing the material and resource usage in manufacturing processes while maintaining or improving product quality and functionality. As part of the design and manufacturing process, it necessitates extensive optimization efforts and a high level of embedded knowledge in both the manufacturing process and the resulting product itself. However, integrating abstract concepts like knowledge and dematerialization into manufacturing attributes poses significant challenges. These challenges arise because such concepts are difficult to quantify and use as direct optimization criteria. To address this, a foundational step towards conceptual modeling and the valorization of these two critical concepts has been initiated. Specifically, tools like dimensionless quantities and the Buckingham π theorem have been employed to systematically approach this problem. A preliminary methodology for retrieving meaningful quantities and laws has been proposed, and initial results are presented, focusing on a single-process manufacturing line to illustrate the potential applications.