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Man can only recognize four dimensions. But in our world there are six more, which are "locked" in the spatial dimension of Calaby-Yau and are held by a special force field. Our world consists of many infinite nodes of this dimension.(volume 14)
A Calabi-Yau space (a Calabi-Yau manifold) is a compact complex manifold with a Kahler metric for which the curvature of the manifold vanishes. (Volume 14)
It says that it is just a compact dimension which does not qualify for tier 1.
But this fiction applies two ideas from String Theory, namely Compact Dimensions & Large Extra Dimensions(LED) simultaneously.
First case: The additional dimension was originally a Compact Complex Manifold which is not tier 1 qualify.
But after the Brane Cosmology, which is the opening of the closed planc-sized dimension, it became qualify for tier 1, namely LED.
the compressed dimensions will be released and the whole world will be turned inside out. (Volume 14)
The second case: The dimension that was originally a Compact Complex Manifold turns into a Complex Manifold which when released will destroy the world (in other words, expand).
The dimension expands and becomes the Structure of the Universe, which means it becomes a 10-dimensional structure.
But because the Universe has the fundamental concept of the physics theory of Fine Tuning of the Universe, it makes the Universe (4-dimensional structure) self-repairing.
Right after the universe repaired itself, Calabi-Yau which had expanded into the structure of the universe, was compacted back by the Space torn apart by Nene who possessed Incredible Gravity and made all the dimensions that came out return to their original size, which was planc-sized (10-³ cm to be exact).
The same goes for the temporary weakening of the Calabi-Yau knot. This space has an incredible gravity, which tends to compress all the escaped dimensions to their previous size.( Volume 14)
This event will leave an empty space outside the 4-dimensional universe.
Conclusion:
The Empty Space is the formerly expanding Calabi-Yau Space that was once the structure of the 10D Universe for a (temporary) time that remains outside the structure of the 4-dimensional Universe.
The world curent in Rakudai Kishi no Cavalry remains L2C (4Dimensional Universe structure).
It was really an event of the spatial expansion of Calabi into a 10D universe structure, because after Nene threw Nassem out of the universe and pulled Calabi back to its original size
There is a narrative that the volume of their universe shrank to human size (in other words 3D Spatial).