This is a review article. There are tens unsolved basic problems in cosmology and particle physics. It suggests that the two main theories, i.e. General Theory of Relativity (GR) and Quantum-Physics/Standard-Model (QP/SM), are the incomplete theories. To solve the hierarchy problem, we need a theory of size scales, not the postulated supersymmetric particles. There are the three self-similar scales i.e. the Planck scale, nuclear scale and a cosmological scale. A few additional symmetries that follow from properties of the inflation field (i.e. of the initial state of the superluminal Higgs field) lead to the self-similar fractal-like size scales that look as the analogs of quasars i.e. there is torus with central condensate (bigger tori are built of smaller tori). Such structures of basic bare fermions in the three self-similar scales (they are not the mathematical points) eliminate from theories all infinities, singularities, approximations, mathematical tricks as the mathematical indeterminate forms, free parameters, and reduce number of initial parameters to 7 only. The local/global duality of time, the non-linearity--linearity duality of phenomena and the non-local phenomena in GR and QP/SM lead to the two-component spacetime with radically different properties of the components - it causes that unification of GR and QP/SM within the same methods is impossible. Within the Scale-Symmetric Theory (SST) we partially unified GR and QP/SM via the size scales - besides the three gravitating self-similar scales, there appear two non-gravitating superluminal scales that are associated one with gravitational fields and the second with quantum entanglement. The carriers of quantum entanglement, due to their internal helicities, produce only single jet composed of antiparallel half-jets. We need very big number of such carriers to create the volumetric gravitational field - it is realized via neutrinos. How long theoretical cosmology and particle physics will move in a blind alley? Two decades is not enough (the theory of size scales was formulated in 1997)? Who is responsible for this i.e. for the present mess in the two major areas of knowledge? No one can see that Nature cannot be such complicated as the present-day theories suggest (the tens of parameters, many wrong basic results as the spin of proton, infinities, singularities, approximations, tricks)? Is it arrogance?