驗算校對 2.3

活在當下 6.3 | 唔識就飛 10.2

這段改編自 2010 年 7 月 27 日的對話。

留意,驗算校對有兩個大方向。其一是做了所有題目後,才開始作驗算。其二是完成了一題的一個部分後,就立刻作校對。有時候,第一個進路會好一點;有時候,第二個進路會較合適。

大部分情況下,我會建議使用第二個進路 —— 每題每部後,就即時驗算,因為這方法特別適合用於,時間緊迫的公開試。

例如,我當年高考 Pure Maths(純數學)試卷的結構,會令人在考試時,繁忙到不會有時間「返轉頭」 —— 完成了的題目,不可能第二次閱讀修正的機會;除非,中途我有很多題目,也因為不懂做而留空跳過,導致「節省」了大量時間。那絕對是一件,非常不幸事件。

所以,如果你打算,做完所有題目後,才開始作驗算,那就相當於打算了,從來不作驗算。

— Me@2013.10.31

2013.10.31 Thursday (c) All rights reserved by ACHK

ER-EPR

物理定律團 2 | 語意互相推卸責任論 3

Allowed topology changes (e.g. conifold transitions) may always be described as a condensation of objects on the original background; allowed (non-traversable) wormholes may be described as entangled states of objects (on a wormhole-free background) whose details reflect the properties of the wormhole.

So what is doomed isn’t a spacetime in the sense of our right of using the concept; what is doomed is the idea that a classical spacetime is unambiguously associated with states or processes. The association is not only refusing to be unique but to a large extent, the spacetime may be chosen arbitrarily (even its topology may be chosen differently, even if the topology change involves time in a nontrivial way). An inconvenient choice of the spacetime background for a given physical situation will be manifested in the complexity of the collections of particles and objects that live on top of the chosen spacetime but the theory will never say that the choice is “fundamentally wrong”.

So the advances in string/M-theory and quantum gravity have eliminated the idea that the reality canonically carries a “particular spacetime background”. At the fundamental level, the separation of the reality to the “spacetime” and “the objects that live on the spacetime” is highly redundant if not arbitrary. This fact may be viewed as a manifestation of the inevitable unification of gravity with other forces or matter. You just can’t objectively or canonically determine which part of the state or process or reality is gravity (space and time); and which part is the information about the objects or phenomena taking place on that background! Only some combination of theirs retains its unambiguous meaning.

— Is space and time emergent? ER-EPR correspondence adds a voice

— Lubos Motl

2013.10.31 Thursday ACHK