Conceptual problems of fractal cosmology
Abstract This report continues the recent Peebles–Turner debate ‘Is cosmology solved?’ and considers the first results for Sandage's programme for ‘Practical cosmology’. A review of conceptual problems of modern cosmological models is given, among them: the nature of space expansion; recession velocities of distant galaxies greater than the velocity of light; the cosmological Friedmann force; continuous creation of gravitating mass in Friedmaan's equation; cosmological pressure is not able to produce work; cosmological gravitational frequency shift; the Friedmann–Holtsmark paradox; the problem of the cosmological constant; Einstein's and Mandelbrot's cosmological principles; the fractality of the observed galaxy distribution; Sandage's 21st problem, the Hubble–de Vaucouleurs paradox; and the quantum nature of the gravity force.