DISCRETIZATION IN GALACTIC STRUCTURE AND COSMOLOGY,
Abstract
The memorandum contains the groundwork of a relativistic theory for the explanation of the discretization effects in the structure of galaxies. The basic assumption, which is referred to as the principle of similarity, expresses in invariant differential form the well-known geometrical concept of the similarity transformation and leads to metrics which appear to be somewhat more general than those in common use in cosmological theory. This principle also leads to the introduction of a wave function which can be interpreted as directly representative of the deviations from a statical metric that occur within the galaxian world tubes or on their boundaries as the result of the action of extraneous influences. It is found that certain discretization effects are required for the existence of solutions of the wave equation satisfied by the wave function under steady-state conditions; this is discussed briefly for the special case of spherical galaxies. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jul 01, 1964
- Accession Number
- AD0602328
Entities
People
- T. Y. Thomas
Organizations
- RAND Corporation