General Mathematics


Reflections on the Structure of the Universal Number Continuum

Authors: Jeffrey Bryant Bishop

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.

Comments: 42 pages.

Download: PDF

Submission history

[v1] 6 May 2011
[v2] 13 Jun 2011
[v3] 14 Jun 2011

Unique-IP document downloads: 756 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus