During the past decade, a conception of extended topological states in condensed matter inherited the traditional description of material functionalities in terms of the local order parameter and symmetry break. Thus, for example, it has been realized that topological structures, arising in ferroelectrics may significantly contribute to their physical properties. Even the simplest topological formation, domain walls, bring new functional complexity and open a new avenue in the operating of ferroelectric devices at the nanoscale. Here we show that the ferroelectric nanodot capacitor hosts a stable two-domain state realizing the static reversible negative capacitance [1-3] thus opening routes for the extensive use in domain wallbased nanoelectronics of low-power computing circuits. Next, we generalize our consideration onto spherical nanoparticles and show that the topologically stable knotting of the polarization field lines, hopfion, results in the wealth of novel functionalities such as optical activity and super-capacitance of composite nanomaterial [4]. We demonstrate that the advanced 3D topological excitations, characterized by the nontrivial linking numbers arise inside the nanoparticle, imitating the “Topology of the Universe”.