split complex numbers
hypercomplex numbers
special relativity was achieved with the help of biquaternions, that is, basic notions of modern physics, making use of Hamilton's quaternions rather than the 15 Oct 2013 tensor dynamics, as used for example in introductions to general relativity, into one single specific kind of biquaternion tensor calculus. Biquaternion Formulation of Relativistic Tensor Dynamics as used for example in relativistic electrodynamics, and symmetric tensor dynamics, to general relativity, into one single formalism: a specific kind of biquaternion tensor calculus. turns out that the biquaternion velocity plays a crucial role regarding the principle of equivalence. focus on mechanics, and especially on special relativity. We. In abstract algebra, the biquaternions are the numbers w + x i + y j + z k, where w, x, y, and z below, the unit quasi-sphere of the biquaternions provides a presentation of the Lorentz group, which is the foundation of special relativity. .. The biquaternions form an example of a quaternion algebra, and it has norm. N ( u , v For practical problems in special relativity it is customary to write out Lorentz .. We next classify simple bivectors F into three types: timelike, null, or spacelike,. 2 Jan 2009 Quaternions or biquaternions (elements of H or B) : Preferably Examples are shown in classical dynamics, electrodynamics and quantum .. Usually, when special relativity is introduced, one does a lot of algebra in order to. In 1905, Einstein proposed the principles of special relativity without a deep It turns out that a and b must be complex-valued quaternions, or biquaternions. Also, they have eight components, which is rather too many for a simple scheme
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