Geometrical Confinement of Energy in the 0-Sphere Model: A Topological Mechanism Underlying Rest Mass and Zitterbewegung

Description [33 Essential] This work develops a geometric and topological account of rest mass and Zitterbewegung within the 0-Sphere model, showing that both phenomena arise naturally from the confinement of energy along closed, proper-time–parametrized trajectories rather than from local field excitations or point-particle attributes. In the 0-Sphere framework, energy transport is fundamentally one-dimensional and history-dependent, constrained to thermal geodesics connecting localized kernels. When such transport becomes topologically confined—closing into self-consistent loops in proper time—energy can no longer be exchanged with the environment. This geometric confinement manifests operationally as rest…