43 Mathematical Applications of Multi-Origin High-Dimensional Geometry
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2026/04/16
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Published: 2026/04/16 - Updated: 2026/04/16
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Multi-Origin High-Dimensional Geometry and Fiber Bundle Theory
Fusion Application
Multi-Origin High-Dimensional Geometry can be integrated and applied with Fiber Bundle Theory.
- Base Space: the lower-layer structure (Galaxy)
- Fiber: the substructure attached to it (Solar System, planets)
- Projection π: the subordinate relationship
- Connection: rotation, warping, and braiding structure
The new structure ↔ Fiber Bundle:
perfect one-to-one correspondence
- O_G (Galactic Center) = Base Space
- O_S (Sun) = Fiber
- O_E/O_M (Earth/Mars) = sub-fiber
- R_G, R_S = Connection (rotation and warping)
Nested formula:
P = O_G + R_G\bigl(O_S + R_S\,O_{\text{celestial body}}\bigr)
This corresponds to the local trivialization structure of a fiber bundle.
Multi‑origin high‑dimensional geometry can also be well extended into fields such as homology, group theory, and topology.