New Axioms for Cosmology: Difference between revisions
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In the present paper it is shown how it is possible by means of a time-based concept of equidistance to construct a spatial geometry for relativistic cosmology. In analogy to a sphere defined as the geometrical site for all those points which are equidistant from a given point, we construct a plane as the site for all those points that are equidistant from two points, and a line as the site for all those points equidistant from three points. Having defined parallellity and perpendicularity, we proceed to define the Cosmic Substrate in a way analogous to the cosmological principle of the Cusan. Assuming that we can always construe the center point for any three non-collinear members of this Substrate, we can prove simultaneity to be universally transitive for all members of the Substrate if the simultaneity is defined indirectly by means of equidistance. <br />[[Category:Scientific Paper]] | In the present paper it is shown how it is possible by means of a time-based concept of equidistance to construct a spatial geometry for relativistic cosmology. In analogy to a sphere defined as the geometrical site for all those points which are equidistant from a given point, we construct a plane as the site for all those points that are equidistant from two points, and a line as the site for all those points equidistant from three points. Having defined parallellity and perpendicularity, we proceed to define the Cosmic Substrate in a way analogous to the cosmological principle of the Cusan. Assuming that we can always construe the center point for any three non-collinear members of this Substrate, we can prove simultaneity to be universally transitive for all members of the Substrate if the simultaneity is defined indirectly by means of equidistance. <br /> | ||
[[Category:Scientific Paper|new axioms cosmology]] | |||
[[Category:Relativity]] | [[Category:Relativity]] | ||
Revision as of 12:44, 1 January 2017
| Scientific Paper | |
|---|---|
| Title | New Axioms for Cosmology |
| Read in full | Link to paper |
| Author(s) | Mogens True Wegener |
| Keywords | {{{keywords}}} |
| Published | 2011 |
| Journal | None |
| No. of pages | 19 |
Read the full paper here
Abstract
In the present paper it is shown how it is possible by means of a time-based concept of equidistance to construct a spatial geometry for relativistic cosmology. In analogy to a sphere defined as the geometrical site for all those points which are equidistant from a given point, we construct a plane as the site for all those points that are equidistant from two points, and a line as the site for all those points equidistant from three points. Having defined parallellity and perpendicularity, we proceed to define the Cosmic Substrate in a way analogous to the cosmological principle of the Cusan. Assuming that we can always construe the center point for any three non-collinear members of this Substrate, we can prove simultaneity to be universally transitive for all members of the Substrate if the simultaneity is defined indirectly by means of equidistance.