Hyperbolic Superluminal Scator Algebra
作者： M. Fernández-Guasti , Felipe Zaldívar
DOI: 10.1007/S00006-014-0486-9
关键词: Formalism (philosophy of mathematics) 、 Mathematics 、 Lorentz transformation 、 Scalar (mathematics) 、 N dimensional 、 Algebra 、 Algebraic number 、 Tachyon 、 Superluminal motion 、 Hypercomplex number
摘要: An alternate time-space framework is proposed by means of a hyperbolic scator algebraic formalism where the deformed Lorentz transformations are an immediate consequence formal properties algebra. We survey group product in restricted, super-restricted and zero magnitude subsets as well complete set. Some derived together with decomposition 1 + n dimensional scators products elements scalar component only one non-vanishing director component. These results used to describe 1+ dimensions. The subset associated superluminal frames or tachyons. various compositions subluminal events same direction follow canonical interpretation. Composition orthogonal components produce novel results. Products within outside light pyramid yield sub super luminal belonging mixed state.
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