Frame-dragging 2

Rotational frame-dragging (the Lense–Thirring effect) appears in the general principle of relativity and similar theories in the vicinity of rotating massive objects. Under the Lense–Thirring effect, the frame of reference in which a clock ticks the fastest is one which is revolving around the object as viewed by a distant observer.

This also means that light traveling in the direction of rotation of the object will move past the massive object faster than light moving against the rotation, as seen by a distant observer. It is now the best known effect, partly thanks to the Gravity Probe B experiment.

Qualitatively, frame-dragging can be viewed as the gravitational analog of electromagnetic induction.

— Wikipedia on Frame-dragging

2013.02.09 Saturday ACHK

無限蘋果

無限年 2.1 | 微積分 4.1

這段改編自 2010 年 6 月 15 日的對話。

(CYW:那是不是無限?)

不一定。如果一個分數的分子和分母,各自都是趨向「無限大」,那個分數整體,就未必會趨向「無限大」。它可能是趨向「零」、「有限數」或者「無限大」。

留意,「無限」並不是一個數字。凡是「數字」,都可以用來表達大小,比較份量。例如,

3 + 1 > 3

4 > 3

的意思是,「4 個蘋果」多於「3 個蘋果」。而「4 > 3」的理由是,「4 個蘋果」等於「3 個蘋果再額外加多 1 個」。

對於任何稱得上為「數字」的東西,都會遵守

x + 1 > x

這個規則。換言話說,從來沒有一個「數字」會,加了 1 之後,仍然等於原本的數字,因為

x + 1 = x

的話,x 就不能用來比較大小。

試想想,「無限 + 1」是多少?

— Me@2013.02.09

2013.02.09 Saturday (c) All rights reserved by ACHK