With the raptur'd Poet may we not justly say
O, what a Root! O what a Branch is here!
O what a Father! what a Family!
Worlds! Systems! and Creations!
and Consequence of this
In an Eternity, what Scenes shall strike?
Adventures thicken? Novelties surprize?
What Webs of wonder shall unravel there?
Night Thoughts
Edward Young (1745)
as quoted by Thomas Wright of Durham
in the 9th letter of his book
"An Original Theory of the Universe" 1750
ABSTRACT. The roots and branches, systems and creations, not so much of the Universe itself - as addressed in the quotation - but of our picture of the Universe, are briefly traced. It is intended to show small portions of the structure on which our present work is built, to provide a background onto which the data and discussions of the workshop can be projected.
Section 1 lists some major historical and contemporary large-scale surveys, in two and three dimensions, of galaxies and of clusters of galaxies. Section 2 introduces historical and modern definitions of various large-scale structures and illustrates the connections sought between the observations on the one side and mathematical and physical theory (statistics and evolution) on the other. Sections 3 and 4 are devoted to cosmological theory and, in particular, to the growth of concepts in relativistic cosmology, to the introduction of parameters and the difficult process of finding relations between theoretical and observational quantities. In Sections 5 and 6, we introduce the role of the data, the necessary corrections to be applied to direct measurements, and observational diagrams employed to make use of the data. Section 7, the conclusion, again voices the intent of these annotations.
Table of Contents
STRUCTURES IN THE UNIVERSE
Large-scale structures (1750-1967)
Surveys in other wavelength regions
Automated two-dimensional surveys since 1980
The third dimension
Two-dimensional and three-dimensional cluster
surveys
THE USE OF THE SURVEYS
Structural properties on large scales
Clusters of galaxies
Superclusters
Structures discovered in redshift space
Physical properties of large-scale
structures
Masses and the mass to light ratio of
galaxies; dark matter
The luminosity function of galaxies
Comparison with theory
Statistics
Evolution of clustering and N-body
simulation
Physical evolution
MODELS OF THE UNIVERSE
Basic concepts
The cosmological principle
Curvature and metric in general relativistic
universes
Cosmic time
Look-back time
Basic parameters
R(t) - the scale factor, and its time
derivatives
Horizons
The current matter density of the universe
0
and its normalized value
0
The cosmological constant
THE MODERN UNIVERSE
The role of
for inflation
The link to particle physics
BASIC DATA
The role of data in cosmology
Redshifts and distances
Magnitudes (fluxes)
Effects due to space curvature
Absorption corrections
Aperture and orientation corrections
Angles
Effects due to space curvature
Corrections
Combined measurements
Selection
Evolutionary effects
RESULTS EXPECTED FROM THE DATA
The log
(z)-diagram
A basic observational diagram
CONCLUSIONS
REFERENCES