arXiv 0903.02962009-03physics.gen-ph

约化幂代数中的狭义相对论

Special Relativity in Reduced Power Algebras

Elemer E Rosinger

摘要：

最近，[10，11]，量子力学和量子计算中的海森堡不确定性关系和No-Cloning性质分别被扩展到量子力学和量子计算的版本中，这些版本使用{ \it约化幂代数}中的标量[2-9]而不是通常的实数或复数标量重新制定。在这里，洛伦兹坐标变换，在狭义相对论的基础，被扩展到版本的狭义相对论，类似地重新制定的标量在约化的权力代数，而不是通常的实数或复数标量。对物理学基本理论的这种重新表述的兴趣是由于一些重要的原因[2-11]。仅提其中两个就足够了：所谓的“物理学中的无穷大”的难题由于在这种约化幂代数中存在无穷小和无穷大的标量而很容易被搁置一边，而物理学中的基本常数问题，如普朗克的$h$或光速$c$，则受到新的关注，提供了相当令人惊讶的替代方案。

英文摘要：

Recently, [10,11], the Heisenberg Uncertainty relation and the No-Cloning property in Quantum Mechanics and Quantum Computation, respectively, have been extended to versions of Quantum Mechanics and Quantum Computation which are re-formulated using scalars in {\it reduced power algebras}, [2-9], instead of the usual real or complex scalars. Here, the Lorentz coordinate transformations, fundamental in Special Relativity, are extended to versions of Special Relativity that are similarly re-formulated in terms of scalars in reduced power algebras, instead of the usual real or complex scalars. The interest in such re-formulations of basic theories of Physics are due to a number of important reasons, [2-11]. Suffice to mention two of them : the difficult problem of so called "infinities in Physics" falls easily aside due to the presence of infinitesimal and infinitely large scalars in such reduced power algebras, and the issue of fundamental constants in physics, like Planck's $h$, or the velocity of light $c$, comes under a new focus which offers rather surprising alternatives.

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