# THE PHYSICAL HERITAGE OF SIR W.R. HAMILTON

@article{Gsponer2002THEPH, title={THE PHYSICAL HERITAGE OF SIR W.R. HAMILTON}, author={Andr{\'e} Gsponer and J P Hurni}, journal={arXiv: Mathematical Physics}, year={2002} }

years after the discovery of quaternions, Hamilton's conjecture that quaternions are a fundamental language for physics is reevaluated and shown to be essentially correct, provided one admits complex numbers in both classical and quantum physics, and accepts carrying along the intricacies of the relativistic formalism. Examples are given in classi cal dynamics, electrodynamics, and quantum theory. Lanczos's, Einstein 's, and Petiau's generalizations of Dirac's equation are shown to be very nat…

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