I guess i am a fool in all of your eyes, but to me before i commit to any belief i want to know a bit about how it came about, so i started from Boscovich, Faraday, maxwell, Tesla, Leibniz, Gauss, etc... just to get a full insight into what modern theories have been building on. And to be honest i think its pretty familiar to scientist that use these theories that somethings wrong, the only problem is that they don't deal with it because usually it has nothing to do with there work, after a certain point in their life they only have time to focus on one specific area. It takes like 20 years to make a discovery so they don't waste a minute.
Hamilton's Quaternions everyone says that there's nothing special about them, but i don't know because Carl Friedrich Gauss was dealing with somethings call the "complex domain" which showed a deeper geometric relation to algebra, which relied of complex numbers, he also showed what exactly was meant (geometrically) by the square root of negative numbers, instead of....i...Maxwell was interested in Quaternions and was introduced to them by his class mate (Peter Tait), who didn't fully understand them, he also didn't fully understand Hamilton. Maxwell had asked what was the significance of the Nabla, "what was the significance of rotating the delta by 30 degrees" is what he asked Tait, but Tait himself was unsure. Hamilton was deeply into the symmetry's of life, left right, hot cold, positive and negative charges. Heaviside created the vector analysis to get quick results for engineers, so that they wouldn't have to learn quaternions, they could just use vectors and quickly get results. Today vectors seem just fine, but according to the Aharonov-Bohm Effect there exist a scalar potential that wasn't predicted by vectors, but is easily noticed using quaternions...