ABSTRACT

There is a well-known saying that the proof of the pudding is in the eating. This is why I immediately proceed to the aforementioned 'list'.

(1) controlled nuclear fusion, (2) high-temperature and room-temperature superconductivity (HTSC

and RTSC), (3) metallic hydrogen and other exotic substances, (4) two-dimensional electron liquid (anomalous Hall effect and some other

effects),

(5) some questions of solid-state physics (heterostructures in semiconductors, metal-dielectric transitions, charge and spin density waves, mesoscopics),

(6) second-order and related phase transitions, some examples of such transitions, cooling (in particular, laser cooling) to superlow temperatures, and Bose-Einstein condensation in gases,

(7) surface physics and clusters, (8) liquid crystals, ferroelectrics, and ferrotoroics, (9) fullerenes and nanotubes, (10) the behavior of matter in superstrong magnetic fields, (11) nonlinear physics, turbulence, solitons, chaos, and strange attractors, (12) rasers, grasers, superhigh-power lasers, (13) superheavy elements and exotic nuclei, (14) mass spectrum, quarks and gluons, quantum chromodynamics, and

bosons and leptons, (16) The Standard Model, grand unification, superunification, proton de-

gies, and colliders, (18) non-conservation of CP invariance, (19) nonlinear phenomena in vacuum and in superstrong magnetic fields

and phase transitions in vacuum, (20) strings and M-theory, (21) experimental verification of the general theory of relativity, (22) gravitational waves and their detection, (23) the cosmological problem, inflation, A-term and 'quintessence' (dark

energy), and the relationship between cosmology and high-energy physics,

(24) neutron stars and pulsars and supernova stars, (25) black holes and cosmic strings (?), (26) quasars and galactic nuclei and the formation of galaxies, (27) the problem of dark matter (hidden mass) and its detection, (28) the origin of ultrahigh-energy cosmic rays, (29) gamma-ray bursts and hypernovae, (30) neutrino physics and astronomy and neutrino oscillations.