The Irish mathematical tradition is steeped in an adoration of historicity. However, this tradition is also superbly compatible with the demands of modern mathematical practice. Trinity College, Dublin, is the most influential Irish educational institution and is a prime alternative to Oxbridge in rigor and faculty achievements in mathematics. Schrödinger developed a monumental corpus of results in Wave Mechanics. Salmon and Walton contributed fundamentally to Optics and the kinetic theory of particles. Hamilton is synonymous with energy methods in physics. He is also responsible for the development of Noncommutative Field Theory particularly Quaternionic and n-Onionic extensions to Complex Numbers. In the current submission, I will briefly explore a paradigm made possible by Hamilton’s contributions in Field Theory.
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