Foundational Structure and Dimensional Reconstruction FSPS–00 and the Dimension Trilogy

This volume consolidates the axiomatic foundation of the FSPS (Foundational Structure / Projected Structure) framework together with a trilogy of dimensional studies. FSPS–00 v2.2 establishes the minimal axioms required to describe a non-geometric foundational state (FS), the Ω-membrane as a projection boundary, and the emergence of time, gravity, observers, and physical laws as stability phenomena. The accompanying Dimension Trilogy examines the minimal geometric and structural conditions necessary for reconstruction, constraint, and vibrational degrees of freedom. In particular, it clarifies why two-dimensional dynamics constitute the minimal requirement for transverse oscillation and worldsheet structures. This work is intended as a structural reference rather than a persuasive theory paper. It presents a minimal, non-redundant framework for discussing physical description without excess assumptions, interpretation, or ontological inflation.