Refinement of the Underlying Mathematics and Physical Quantities of CST: Static String Force, Dynamic String Force, and Intrinsic Energy

Abstract This paper systematically organizes the refinement process of the underlying mathematical framework of Chen's Superstring Theory (CST). Starting from the original static string force formula P = e(L - L_p), its physical meaning and transformed forms are given; the dynamic string force formula F_dyn and its simplified form are presented; the RG-string intrinsic energy E_CH = C_0 A Ω Θ_eff (unit: CH) is defined; the hierarchical relationship among static string force, dynamic string force, and intrinsic energy is established; and it is explained that the relationships among Ω, A, J, and L need to be derived from Euler's formula, with the current open problems identified. This paper aims to provide a stage-wise framework for CST to move from zeroth-order approximation toward underlying dynamics.