理想气体空间的非线性尺度因子函数
首发时间:2009-04-21
摘要:将仅有引力作用下的理想气体运动微分方程与物理学量纲Π定理相结合,可得到系列非线性空间尺度因子函数解R(t)。在R(t)基础上建立均匀膨胀空间坐标系形式,计算证明,均匀膨胀四维时空坐标系形式S(t,ξ,θ,φ)能够派生出物理学常用的经典时空坐标系和相对论时空坐标系。研究还发现,原点时钟与坐标时钟之间变换关系的确定性(非无穷级数)要求尺度因子函数序列具有量子化特征。
关键词: 非线性;空间尺度因子;引力;相对论
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Nonlineary Scale Factor Function in Perfect Gas Space
Abstract:Combining the motion differential equation of perfect gas just under gravitation with physics dimension Π theory, it comes out function solution R(t) of nonlineary space scale factor function. Based on this R(t), a homogeneous expansion coordinates form could be created. Both the classic time-space coordinates and relativity time-space coordinates will be derived from homogeneous expansion four-dimension coordinates form S(t,ξ,θ,φ), which is proved by calculation. It is also discovered that the certainty of transform relationship between origin clock and coordinate clock ( noninfinite series) calls for quantization of scale factor function sequence
Keywords: Nonlinearity Space scale factor Gravitation theory of relativity
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