Enter two rebels: (an American) and Oliver Heaviside (an Englishman). Independently, they decided to "vandalize" Hamilton’s work. They took the quaternion, chopped off the "real" part ( ), and focused only on the components.
The traditionalists were furious. , Hamilton’s successor, called Gibbs’s new algebra a "hermaphrodite monster." He believed that by removing the "quaternion" structure, Gibbs and Heaviside were destroying the mathematical soul of physics. Classical Vector Algebra (Textbooks in Mathemat...
In modern high-level physics (like General Relativity or Quantum Mechanics), we’ve actually circled back to more complex structures like Tensors and Spinors that look a lot more like those "monstrous" quaternions than Hamilton ever could have dreamed. Enter two rebels: (an American) and Oliver Heaviside
By the early 1900s, the battle was over. In 1901, , a student of Gibbs, published Vector Analysis . This was the first true textbook in the modern sense. It standardized the notation we use in every physics and engineering classroom today ( The traditionalists were furious