Scaling Cosmology

Scaling Relations of Spiral Galaxies and Their Application to Cosmology

The theoretical background for the main scaling relations of spiral galaxies is discussed, and compared with the observational datum. The luminosity–linewidth relation (TFR) is the best determined among those; the sources of scatter of each are discussed. The results of applications of the TFR to Cosmology, using several all–sky samples of galaxies, are summarized. They yield estimates of H◦, o...

Relational Motivation for Conformal Operator Ordering in Quantum Cosmology

Operator-ordering in quantum cosmology is a major as-yet unsettled ambiguity with not only formal but also physical consequences. We determine the Lagrangian origin of the conformal invariance that underlies the conformal operator-ordering choice in quantum cosmology. It is particularly naturally and simply manifest in relationalist producttype actions (such as the Jacobi action for mechanics o...

A simulated TCDM cosmology cluster catalogue: the NFW profile and the temperature-mass scaling relations

Accelerated expansion in a stochastic self-similar fractal Universe

In a recent paper, a cosmological model based on El Naschie E infinity cantorian spacetime was presented [1]. In that work it was claimed that the present accelerated expansion of the Universe can be obtained as the effect of a scaling law on newtonian cosmology with a certain time dependent gravitational constant (G). In the present work we show that it may be problematic to explain the presen...

Probing Cosmology and Galaxy Cluster Structure with the Sunyaev–Zel’dovich Decrement vs. X–ray Temperature Scaling Relation

Scaling relations among galaxy cluster observables, which will become available in large future samples of galaxy clusters, could be used to constrain not only cluster structure, but also cosmology. We study the utility of this approach, employing a physically motivated parametric model to describe cluster structure, and applying it to the expected relation between the Sunyaev-Zel’dovich decrem...

Generalized Statistical Models of Voids and Hierarchical Structure in Cosmology

Generalized statistical models of voids and hierarchical structure in cosmology are developed. The often quoted negative binomial model and the frequently used thermodynamic model are shown to be special cases of a more general distribution that contains a parameter a. This parameter is related to the Lévy index and the Fisher critical exponent , the latter of which describes the power-law fall...