The Defense Advanced Research Projects Agency (DARPA) is announcing a Special Notice regarding its anticipated program, The Right Space (TRS), which focuses on advancing mathematical and computational methods through Scientific Machine Learning. The primary objective of TRS is to systematically discover new mathematical transformations that can simplify and enhance the resolution of complex modeling problems relevant to the Department of Defense, thereby reducing the effort required for scientific problem-solving. This initiative is crucial for fostering innovation in defense-related research and development, aligning with DARPA's strategic goals. Interested parties are encouraged to reach out to the BAA Coordinator at TRS@darpa.mil for further information, as this notice serves as an informational tool rather than a formal solicitation for proposals.