Constrained SO(3,3) Spacetime: Part III. Closed Topological Solitons, Spin Quantization, and Rest Mass Generation

Abstract

Operating under the theoretical assumption that a topological constraint field successfully suppresses negative-norm ghost states in an SO(3,3) spacetime, this paper explores the further geometric implications of uncompactified transverse-time dimensions. We propose a conceptual framework where intrinsic spin and rest mass might not be fundamental axiomatic properties, but rather emergent geometric phenomena. By hypothesizing that fundamental particles could form as closed topological twists within the extra temporal dimensions, we suggest that intrinsic spin may represent quantized transverse-time angular momentum. Furthermore, we explore the possibility that mass emerges as Meta-Time Inertia—a non-dissipative topological tension generated when the global flow of Meta-Time interacts with these closed geometric structures. This paper serves as a theoretical proposal to initiate future rigorous algebraic investigations into the geometric unification of mass and spin.