General Mathematics

1105 Submissions

[1] viXra:1105.0008 [pdf] replaced on 14 Jun 2011

Reflections on the Structure of the Universal Number Continuum

Authors: Jeffrey Bryant Bishop
Comments: 42 pages.

I am not currently associated with any institution. My work is a result of private correspondence with Dr. Marie Louise von Franz, former director of the Jungian Institute in Zurich before her death in 1999. You see a problem is that a large bulk of the subjects of my studies are not taught in our traditional educational systems. My work is a result of independent study related to materials, the basis of which lies outside our standard curricula. The following document addresses the basis of what I had hoped to share and which I have been working on since 1988. It is shown through a novel method of generation that number corresponds to form as a "becoming continuum" indicating specific forms apply to the first ten integers and through the process of explication we are required to consider related issues including dimensionality and growth. The work describes the spatial nature of the "archetypal" characteristics of the natural integers, and it is concluded that there exists what may be understood as a "Universal Number Continuum," which is represented through a pure projective geometry in a fifth dimensional framework, incorporating one view of a Hypercube or Tesseract and where the basis of the fifth dimension here corresponds precisely to the characteristics of the nature of the fifth dimension as it is explicated in the Kaluza-Klein theory of Relativity. The desire being to lend a mathematically sound basis for the fifth dimension and the qualities it possesses supportive of the Kaluza-Klein theory which is much desired in the scientific community. Please be aware this was written as a preliminary discussion concerning the proposed publication of a document which purports to explicate a new theory related to mathematical philosophy and where overwhelming evidence exists in favor of the proposition, but where remain yet unresolved aspects related to special dimensionality and complex symmetry seen as relational subjects.
Category: General Mathematics