  "HyperComplex Numbers in Geometry and Physics" 1 (7), vol. 4, 2007
j007
Content of Issue is in the theme. The journal in one file is below.
2007jaz
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2007jay
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2007jax
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2007jaw
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2007jav
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2007jau
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2007jat
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2007jas
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2007jar
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Inertial navigation equations and the quaternion space-time theory
2007jaq | V. F. Chub // Korolev Rocket-Space Corporation ``Energiya'', Russia The comparative analysis of relativistic and nonrelativistic inertial navigation equations in space free of gravitational field was performed in review. In order to
represent the equations, the use is made of the quaternions with real, dual, complex and complex-dual factors. Within the theory based upon the quaternions with complex-dual factors (the quaternion space-time theory) it was demonstrated that the
transformations forming in the context of a special relativity theory Poincare group and in the context of classical Newton mechanics Galilei group were open. The inertial navigation equation consistent with the quaternion space-time theory was given and its absurdity was noted.
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A mathematical description of the fermionic state
2007jap | Rowlands P. // Department of Physics, University of Liverpool, Oliver Lodge Laboratory, Liverpool, UK, p.rowlands@liverpool.ac.uk The fermionic state is the foundation for the whole of physics. Physics is
entirely concerned with fermions and their interactions, and nothing else. It is possible to derive a mathematical expression for the fermionic state, which is an operator only, not an equation, or wavefunction. This operator appears to contain within it all the information needed to construct fermion interactions and particle states. Extensions to particle representations using Finsler geometry could find this formalism a particularly accessible link.
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2007jao
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2007jan
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