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Appendicies A to I that are referenced by Volumes I and II in the
theory of quantum torus knots (QTK). A detailed mathematical
derivation of space curves is provided that links the diverse
fields of superfluids, quantum mechanics, and hydrodynamics.
A detailed mathematical derivation of space curves is presented
that links the diverse fields of superfluids, quantum mechanics,
and hydrodynamics by a common foundation. The basic mathematical
building block is called the theory of quantum torus knots (QTK).
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