Dynamic Area and Dynamic Volume: A Spherical-Motion-Based Mathematical Approach Supporting the Electromagnetic Architecture Theorem

This preprint introduces the concepts of dynamic area and dynamic volume as motion-dependent geometrical quantities and investigates a mathematical relationship between the axial rotation of the Earth's mass and the electromagnetic cyclic motion proposed near the Earth's surface. The study is presented as a complementary geometrical approach to the Electromagnetic Architecture Theorem. It examines whether different cyclic motions proposed to originate from the same central activity may produce closely related total dynamic activity over one complete cycle. Using the Earth's rotational parameters and the k²-related electromagnetic cyclic velocity of 7965 m/s, the two independently constructed dynamic results are found to differ by approximately 0.075%. The work focuses on the concepts of central cyclic activity, spherical motion distribution, dynamic area, dynamic volume, planetary rotation, and their mathematical relationship.