TL;DR
This paper discusses fourvector algebra, highlighting its advantages over Hamilton quaternions for physics applications, especially in rotations and relativity, emphasizing its natural integration with 3D vectors.
Contribution
It introduces fourvector algebra as a superior mathematical framework for physics, demonstrating its effectiveness in rotations and Lorentz transformations.
Findings
Fourvector algebra naturally incorporates 3D vectors.
It enables simple rotations and Lorentz boosts.
It is more suitable than Hamilton quaternions for physics applications.
Abstract
The algebra of fourvectors is described. The fourvectors are more appropriate than the Hamilton quaternions for its use in Physics and the sciences in general. The fourvectors embrace the 3D vectors in a natural form. It is shown the excellent ability to perform rotations with the use of fourvectors, as well as their use in relativity for producing Lorentz boosts, which are understood as simple rotations.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Geophysics and Gravity Measurements · Relativity and Gravitational Theory