Topology

   

Exterior and Interior Dynamic Iso-Sphere Holographic Rings with an Inverse Iso-Duality

Authors: Nathan O. Schmidt

In this preliminary work, we use a dynamic iso-unit function to iso-topically lift the "static" Inopin holographic ring (IHR) of the unit sphere to an interconnected pair of "dynamic iso-sphere IHRs" (iso-DIHR), where the IHR is simultaneously iso-dual to both a magnified "exterior iso-DIHR" and de-magnified ``interior iso-DIHR". For both the continuously-varying and discretely-varying cases, we define the dynamic iso-amplitude-radius of one iso-DIHR as being equivalent to the dynamic iso-amplitude-curvature of its counterpart, and conversely. These initial results support the hypothesis that a new IHR-based mode of iso-geometry and iso-topology may be in order, which is significant because the interior and exterior zones delineated by the IHR are fundamentally "iso-dual inverses" and may be inferred from one another.

Comments: 13 pages, 2 figures, accepted by the Hadronic Journal

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Submission history

[v1] 2013-11-04 15:20:13
[v2] 2014-02-08 15:45:08

Unique-IP document downloads: 131 times

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