Yes, Galaxy Pattern is Meaningful!

Normal spiral galaxies have exponential disks and logarithmic arms (spirals). They must be interrelated and the relation is suggested to be iso-ratio. Assume you come off the disk center by such route that the ratio of the star density on your left side to the one on your right side is constant. The route (iso-ratio curve) turns out to be logarithmic spiral! Such distribution of iso-ratio densities is called a harmonic structure. It can be proved that arms are not harmonic and present (although small) disturbance to the harmonic disks, which explains why elliptical galaxies are clean while spiral galaxies are dusty! Some barred spiral galaxies have elliptical rings (arms). The solution of the harmonic structure with elliptical iso-ratio curves does exist and can be proved to be unique. The structure is handle-shaped while many barred galaxies show a set of symmetric enhancements at the ends of the stellar bar, called ansae or the " handles " of the bar. This suggests that a bar which is the additional harmonic structure to circular disk, consists of several aligned pairs of handles. In far distance from the galaxy center, the bar brightness should not approach the disk one otherwise we could not distinguish between bar and disk in the far distance. It is amazing that my model bar decreases outwards much quicker (cubic-exponential, exp(-r 3)) than exponential disk (exp(-r)). My bar model fits the images of 9 galaxies very well. In addition, a similar iso-ratio model fits elliptical galaxies both theoretically and numerically. Because the iso-ratio principle explains and interrelates different observational facts, it must approach the truth. 1 Introduction to Galaxy Patterns Galaxies are much larger than the solar system. Light travels from the sun to Earth in eight minutes, and travels from one end of the Galaxy to the other end in some hundred thousand years (light travels 300,000 km in a second). Although unimaginably large, thousands of galaxies are taken of images with telescopes. Galaxies demonstrate exceptionally simple and orderly patterns. This shows that the truth of the universe should be simple too. Independent galaxies present very regular patterns. They are either three-dimensional ellipticals or planar spirals. Ellipticals are very clean while spirals contain dusts which nurture new stars. The life period of stars in spiral galaxies is much shorter. Images of spirals taken with near-red light show that every spiral galaxy is mainly a disk with its …