Density Quotes - page 2
"Personal density," Kurt Mondaugen in his Peenemünde office not too many steps away from here, enunciating the Law which will one day bear his name, "is directly proportional to temporal bandwidth."
"Temporal bandwidth," is the width of your present, your now. It is the familiar "∆ t" considered as a dependent variable. The more you dwell in the past and in the future, the thicker your bandwidth, the more solid your persona. But the narrower your sense of Now, the more tenuous you are.
Thomas Pynchon
There were two problems which had to be faced. One was spatial and the other methodological. In the first case I had to do something about relational painting, i. e. the balancing of the various parts of the painting with and against each other. The obvious answer was symmetry – make it the same all over. The question still remained, though, of how to do this in depth. A symmetrical image or configuration symmetrically placed on a open ground is not balanced out in the illusionistic space. The solution I arrived at, and there are probably quite a few, although I only know of one other, color density, forces illusionistic space out of the painting at constant intervals by using a regulated pattern. The remaining problem was simply to find a method of paint application which followed and complemented the design solution. This was done by using the house painters technique and tools.
Frank Stella
Manhattan is not altogether felicitous for fiction. It is not a city of memory, not a family city, not the capital of America so much as the iconic capital of this century. It is grand and grandiose with its two rivers acting as a border to contain the restless. Its skyscrapers and bleak, rotting tenements are a gift for photographic consumption, but for the fictional imagination the city's inchoate density is a special challenge.
Elizabeth Hardwick
There is room in the world, no doubt, and even in old countries, for a great increase of population, supposing the arts of life to go on improving, and capital to increase. But even if innocuous, I confess I see very little reason for desiring it. The density of population necessary to enable mankind to obtain, in the greatest degree, all the advantages both of co-operation and of social intercourse, has, in all the most populous countries, been attained. If the earth must lose that great portion of its pleasantness which it owes to things that the unlimited increase of wealth and population would extirpate from it, for the mere purpose of enabling it to support a larger but not a better or a happier population, I sincerely hope, for the sake of posterity, that they will be content to be stationary, long before necessity compels them to it..
John Stuart Mill
At the most abstract level, the relation between urbanism and microelectronics is scalar (fractal). The coming computers are closer to miniature cities than to artificial brains, dominated by traffic problems (congestion), migration / communications, zoning issues (mixed use), the engineering potential of new materials, questions of dimensionality (3D solutions to density constraints), entropy or heat / waste dissipation (recycling / reversible computation), and disease control.
Nick Land
For a number of years I have been familiar with the observation that the quality of programmers is a decreasing function of the density of go to statements in the programs they produce. More recently I discovered why the use of the go to statement has such disastrous effects, and I became convinced that the go to statement should be abolished from all "higher level" programming languages.
Edsger W. Dijkstra
Is not this Medium [æther] much rarer within the dense Bodies of the Sun, Stars, Planets, and Comets, than in the empty celestial Spaces between them? And in passing from them to great distances, doth it not grow denser and denser perpetually, and thereby cause the gravity of those great Bodies towards one another, and of their parts towards the Bodies; every Body endeavouring to go from the denser parts of the Medium towards the rarer? ...And though this Increase of density may at great distances be exceeding stow, yet if the elastick force of this Medium be exceeding great, it may suffice to impel Bodies from the denser parts of the Medium towards the rarer, with all that power which we call Gravity. And that the elastic force of this Medium is exceeding great, may be gather'd from the swiftness of its Vibrations.
Isaac Newton
It was early 1932, when Einstein and I both were at the California Institute of Technology in Pasedena, and we just decided to look for a simple relativistic model that agreed reasonably well with the known observational data, namely, the Hubble recession rate and the mean density of matter in the universe. So we took the space curvature to be zero and also the cosmological constant and the pressure term to be zero, and then it follows straightforwardly that the density is proportional to the square of the Hubble constant. It gives a value for the density that is high, but not impossibly high. That's about all there was to it. It was not an important paper, although Einstein apparently thought that it was. He was pleased to have a simple model with no cosmological constant. That's it.
Willem de Sitter
There is no direct observational evidence for the curvature [of space], the only directly observed data being the mean density and the expansion, which latter proves that the actual universe corresponds to the non-statical case. It is therefore clear that from the direct data of observation we can derive neither the sign nor that value of the curvature, and the question arises whether it is possible to represent the observed facts without introducing the curvature at all. Historically the term containing the 'cosmological constant λ' was introduced into the field equations in order to enable us to account theoretically for the existence of a finite mean density in a static universe. It now appears that in the dynamical case this end can be reached without the introduction of λ.
Willem de Sitter
The "universe" is an hypothesis, like the atom, and must be allowed the freedom to have properties and to do things which would be contradictory and impossible for a finite material structure. What we observe are the stars and nebulae constituting "our neighbourhood." All that goes beyond that, in time or in space, or both, is pure extrapolation. The conclusions derived about the expanding universe depend on the assumed homogeneity and isotropy, i. e. on the hypothesis that the observed finite material density and expansion of our neighbourhood are not local phenomena, but properties of the "universe." It is not inconceivable that this hypothesis may at some future stage of the development of science have to be given up, or modified, or at least differently interpreted.
Willem de Sitter
Matter is actually distributed very unevenly... conglomerated into stars and galactic systems. The average density is the density that we should get if all... could be evaporated into atoms of hydrogen, or protons, and... distributed evenly over the whole of space. ...three or four protons in every cubic foot. ...a million million times less than that of the most perfect vacuum that we can produce... The universe thus consists mostly of emptiness... consider a universe without any matter at all, an empty universe, as a good approximation. But we may also take as our first approximation a universe containing... three or four protons per cubic foot. The local deviations from the average, caused by the conglomeration of matter into stars and stellar systems, are then disregarded in the grand scale model, and are only taken into account when we come to study details.
Willem de Sitter
We... come to the conclusion... that the actual universe is neither the static nor the empty one. It differs so much from both of these that neither can be used as an appropriate grand scale model. We must thus look for other solutions of the general field-equations. On account of the expansion our solution must necessarily be a non-static one, and it must have a finite density. There is only one possible static solution possessing a finite density, viz. our old friend A, but of non-static solutions with finite density there exists a great variety.
Willem de Sitter