Year: 2025
Type: article
Abstract: On October 16th 1843 the prominent Irish mathematician Sir William Rowan Hamilton, in an inspired act of vandalism, carved his famous i2=j2=k2=ijk=−1 on the Brougham Bridge in Dublin, thus starting a major clash of ideas with the potential to change the course of history. Quaternions, as he called his invention, were quite useful in describing Newtonian mechanics, and as it turned out later - also quantum and relativistic phenomena, which were yet to be discovered in the next century. However, the scientific community did not embrace this new approach with enthusiasm: there was a battle to be fought and Hamilton failed to make a compelling case probably because he was standing alone at the time. Although Quaternions were soon to find useful applications in geometry and physics (with the works of Clifford, Cayley, Maxwell, Einstein, Pauli, and Dirac), the battle seemed lost a few decades after Hamilton’s death. But a century later computer algorithms turned the tides, and nowadays we witness a revived interest in the subject, prompted by technology.
Source: Mathematics
DOI: 10.3390/math13040637
Author: Danail Brezov
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $3,137
OpenAlex ID: W4407640622