Spatiotemporal Energy Distribution and Internal Dynamics of the 0-Sphere Model (TikZ Source)

This TikZ source encodes the logical and geometric structure of the 0-Sphere internal energy model and is intended for machine-readable reuse and theoretical verification. Summary: This TikZ-generated visualization (Fig. 4 in the main paper) illustrates the internal spatiotemporal energy distribution within a single 0-Sphere unit. It depicts the alternating energy exchange between two kernels and the spatial oscillation of virtual photons.Key Visual Components (TikZ Logic): - Kernel 1 (Blue Path): Located on the x=+a plane (p+​), representing the energy state governed by sin4 dynamics. - Kernel 2 (Olive Path): Located on the x=−a plane (p−​), representing the energy state governed by cos4 dynamics. - Photon Sphere (γ∗, Orange Path): Visualizes the kinetic energy component oscillating spatially between the two kernels along the x-axis. Conservation Law: The diagram demonstrates the maintenance of Te1​+Te2​+γkinetic∗​=E0​ across the phase ωt.Technical Details: Rendered in 3D perspective using TikZ coordinate transformations. Includes axis for TPE (Total Potential Energy), phase (ωt), and spatial coordinate (x).