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arXiv 0704.0332gr-qc
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四维宇宙中第五维大尺度时空对能量守恒的影响

The effect of a fifth large-scale space-time dimension on the conservation of energy in a four dimensional Universe

M. B. Gerrard, T. J. Sumner

摘要:

作者在早先的一篇论文中分析了在轨道动力学方程中引入第五个大尺度时空维度的影响。结果表明,与观测到的星系平坦自转曲线和先驱者异常符合得很好。这种分析并不需要修改牛顿动力学,而只是在五维框架中重述它们。同样的分析得出了一个加速度参数ar,它在轨道动力学的重述方程中起着重要的作用,并建议了ar的值。在这篇配套论文中,能量守恒的原理在同样的五维框架内被重述。由此产生的分析提供了另一种途径来估计ar的值,而不参考轨道动力学方程,仅基于关键的宇宙学常数和参数,包括引力常量,G。同样的分析表明:(1)引力平方反比定律本身可能是由于四维宇宙和第五维大尺度时空之间的边界处的能量守恒;(2)塔利-费舍尔关系将光速与宇宙质量联系起来,这是一个极限情况。

英文摘要:

The effect of introducing a fifth large-scale space-time dimension to the equations of orbital dynamics was analysed in an earlier paper by the authors. The results showed good agreement with the observed flat rotation curves of galaxies and the Pioneer Anomaly. This analysis did not require the modification of Newtonian dynamics, but rather only their restatement in a five dimensional framework. The same analysis derived a acceleration parameter ar, which plays an important role in the restated equations of orbital dynamics, and suggested a value for ar. In this companion paper, the principle of conservation of energy is restated within the same five-dimensional framework. The resulting analysis provides an alternative route to estimating the value of ar, without reference to the equations of orbital dynamics, and based solely on key cosmological constants and parameters, including the gravitational constant, G. The same analysis suggests that: (i) the inverse square law of gravity may itself be due to the conservation of energy at the boundary between a four-dimensional universe and a fifth large-scale space-time dimension; and (ii) there is a limiting case for the Tulley-Fisher relationship linking the speed of light to the mass of the Universe.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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