Geometrical Confinement of Energy in the 0-Sphere Model: A Topological Mechanism Underlying Rest Mass, Zitterbewegung, and Gravitational-Like Phenomena — Emergent Gravitational Dynamics Without Additional Mediators

Description [34 Essential] This work presents a unified geometric and topological account of rest mass, Zitterbewegung, and gravitational-like phenomena within the 0-Sphere model. Departing from local field-based ontologies, the analysis demonstrates that these phenomena arise naturally from the confinement and synchronization of energy along proper-time–parametrized histories, represented as line integrals of accumulated phase. In the 0-Sphere framework, energy transport is fundamentally one-dimensional and history-dependent. Physical observables are defined not at spacetime points but along thermal geodesics connecting discrete energy kernels. When energy transport becomes topologically confined—closing into…