The 35th Meeting on Off-Shell Science was held on April 25, 2024 (On line meeting). Nine experts joined the meeting. First presentation was on the measurement theory for algebraic quantum fields. Second presentation reviewed the quantum search based on Grover's theory. Third presentation presented unique off-shell scientific paths of dressed photon energy transfer and subsequent energy dissipation. Finally, future directions on activities to promote off-shell science were proposed. Intensive discussions on these topics were made.