發信人: graddivcurl@bbs.ee.ntu.edu.tw (為所應為), 看板: astronomy
標  題: Re: 什麼是馬赫原理?
發信站: 台大電機 Maxwell BBS (Tue Apr 22 11:34:34 2003)
轉信站: Lion!news.nsysu!spring!news.nctu!news.ntu!bbs.ee.ntu!Maxwell

※ 引述《EPS.bbs@crux.chem.nsysu.edu.tw (觀測如作戰)》之銘言：

: 不論如何,廣義相對論與馬赫原理在某種程度上似乎是被曖昧地連結在
: 一起,廣意相對論是某能成為馬赫原理的終極解答? 到目前為止我還沒聽過
: 有人說是或不是的,大家都看得到那個曖昧但有趣的連結,但沒人有真正的
: 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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※ Origin: 臺大電機 Maxwell 站 ◆ From: pool-141-151-80-141.phil.east.verizon.n