We suggest a geometrical model for the distribution of luminous matter in the Universe, where the apparent dimension, D(l), increases linearly with the logarithm of the scale l. Beyond the correlation length, xi, the Universe is homogeneous, and D = 3. Comparison with data from the SARS redshift catalog, and the LEDA database provides a good fit with a correlation length xi approximately 300 Mp...

Large telescopes have allowed astronomers to observe galaxies that formed as early as 850 million years after the Big Bang. We predict when the first star that astronomers can observe formed in the universe, accounting for the first time for the size of the universe and for three essential ingredients: the light travel time from distant galaxies, Poisson and density fluctuations on all scales, ...

Like particle physics cosmology also confronts hierarchical scales; e.g. Planck scale Mp = 2.436 × 10 GeV, and big bang nucleosynthesis scale TBBN ∼ 1 MeV, and uncertainties. Unfortunately there is no direct evidence of thermal history of the Universe beyond T ∼ 1 MeV. Though there are indirect evidences which when tied up with particle physics makes a strong case that thermal history could go ...

In the second self-creation theory of gravitation and in the general theory of relativity, Bianchi type VI0 cosmological model in the presence of viscous fluid is studied. An exact solution of the field equations is given by considering the cosmological model yields a constant decelerations parameter q=constant and the coefficients of the metric are taken as A(t)=[c1t+c<su...

We call a subset of an ordinal recognizable if it is the unique subset x of for which some Turing machine with ordinal time and tape and an ordinal parameter, that halts for all subsets of as input, halts with the final state 0. Equivalently, such a set is the unique subset x which satisfies a given ⌃1 formula in L[x]. We further define the recognizable closure for subsets of by closing under r...