The Rayleigh-Jeans law determines the spectral density, and is the basis of the theory of radiation. This law is generalized by adding a restriction related to the discreteness of the wavelength. In the generalized Rayleigh-Jeans law, there was a symmetry between low and high frequencies — a negative spectral dimension.Based on the Hawking formula, for the entropy of a black hole, the number of microstates of one zero oscillation is determined. This number is equal to the Gelfond constant: e^π .A model of a cosmological photonic black hole is used to determine the temperature and zero energy of the universe. With the help of numerical integration, up to the third significant digit, the cosmological constant is calculated — 75% of the density of the universe.The generalized Rayleigh-Jeans law is written in quantum form for the hypersphere. The lattice constant of the world crystal is determined: the Planck length multiplied by the number pi divided by the number two and by the root of the sixth power of the number three — r = lpl *π / 2*3^(1/6 ) .Accordingly, the minimum wavelength is twice as long: 2*r = lpl *π / 3^(1/6 ) .