发信人: graddivcurl@bbs.ee.ntu.edu.tw (为所应为), 看板: astronomy
标  题: Re: 什麽是马赫原理?
发信站: 台大电机 Maxwell BBS (Tue Apr 22 11:34:34 2003)
转信站: Lion!news.nsysu!spring!news.nctu!news.ntu!bbs.ee.ntu!Maxwell

※ 引述《EPS.bbs@crux.chem.nsysu.edu.tw (观测如作战)》之铭言：

: 不论如何,广义相对论与马赫原理在某种程度上似乎是被暧昧地连结在
: 一起,广意相对论是某能成为马赫原理的终极解答? 到目前为止我还没听过
: 有人说是或不是的,大家都看得到那个暧昧但有趣的连结,但没人有真正的
: 答案....

While most of my GR books are in Taiwan, I still may say something about it,
based on my memory & Ohanian & Ruffini's text.

In a wider sense, Mach's principle only states that matter acts on the
geometry (Ohanian & Ruffini's text).

There are several viewpoints (or interpretations) about Mach's Principle.
In Tolman's text on Relativity, Thermodynamics, and Cosmology, he states that
the dependence of gravitational field and Metric on the distribution of matter
and energy is mediated via Principle of Mach. Einstein (in his text on the
meaning of relativity) formulated Mach's principle as: "The spacetime
geometry is entirely determined by the energy-momentum tensor of matter".
Also, Wheeler formulated Mach's principle as the following:
"The inertial properties of an object are determined by the energy-momentum
throughout all space". His more precise formulation of Mach's Principle
is given below: "The spacetime geometry is uniquely determined by the
energy-momentum and by the initial conditions on the geometry."


--

" To conceive, understand, and grasp the whole symmetry of the scientific
edifice ... is equivalent to tasting that enjoyment only conveyed by the
highest forms of beauty and truth."
by Dmitri Mendeleev (1887)

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