Multidimensional Numbers and the Genomatrices of Hydrogen Bonds

The discovery of quaternions by Hamilton in 1843 has led to many important consequences for all mathematical natural sciences (Kline, 1980). Hamilton believed that this discovery was the most significant achievement of his life though his name is connected in modern science with many other essential notions and formalisms: the famous equation by Hamilton, which is called “the canonical equation of mechanics” and which underlies the whole of theoretical physics; “functions by Hamilton”; “Hamiltonians”, etc. After the discovery of quaternions, Hamilton devoted to their study last 20 years of his life, ABSTRACT