Quaternions and Completeness
June 15, 2020

Archived from an original LinkedIn post by Brian Greenforest.

Original Post

A very important paper on the theory of numbers with broad applications (and implications) in quantum mechanics, machine learning, big data analysis, complex systems behavior and simulation.

You learned that "Real" numbers are not actually "real" right? That "Complex" numbers make them _complete_.

Well, quaternions discovered by Hamilton make complex numbers even more _complete_.

Then, considering that the most of ensemble theory, quantum mechanics, and quantum field theory was based on complex numbers rather than on quaternions in Hilbert spaces, things went wildly unwieldy.

Finally, in 2013, Ghiloni, Moretti and Perotti are fixing that! Let's see how fruitful it'll be!

R. Ghiloni, V. Moretti and A. Perotti: Continuous slice functional calculus in quaternionic Hilbert spaces

https://lnkd.in/g8WGrVG

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