The universal potential fluctuations

It is assumed the existence of the universal potential fluctuations valid for all scales in the universe which follow the fractal law δU = (∆r/r) . The value of the universal potential fluctuations is determined from the data on anisotropy of the cosmic microwave background on degree scales. It is suggested to test the existence of the universal potential fluctuations in the laboratory experiment. There are two independent arguments that the universe can be viewed as a fractal with the law m(< r) ∝ r (1) where m(< r) is the mass restricted within radius r. With the use of heuristic conjecture Dirac [1] obtained the fractal relation between the microworld scale and the universe scale mU mmic = ( rU rmic ) 2 (2) where mU and rU are the mass and the radius of the universe, mmic and rmic are the mass and the radius of microparticle. Pietronero et al. [2] claimed that galaxies have a fractal distribution N(< r) ∝ r (3) on all scales up to the deepest scales probed until now 1000 h Mpc. Thus it is natural to assume that the fractal law m(< r) ∝ r extends on all scales from the microworld scale to the universe scale. Let us assume that there exist universal potential fluctuations valid for all scales in the universe δU = ∆m m = ( ∆r r 2 . (4) That is the universal potential fluctuations follow the above fractal law. The universal potential fluctuations can be registered as angular fluctuations of the electromagnetic radiation. Let us assume that the universal potential fluctuations cause anisotropy of the cosmic microwave background (CMB) on degree scales. The peak of the temperature fluctuations in the CMB spectrum ∆T/T = 3× 10 is seen at the multipole leff = 260 [3]. These values can be bounded by the relation ∆T T ∼ 2l eff . (5) Let us assume that the multipole leff relates with the universal potential fluctuations as δU = l −2 eff . (6)