An Eternal Second is 6.5 Zettayears (Zy) in an eternity of eternities

Alexander Atkins has an interesting post up at his blog about the literary treatment of “eternity”.

How long is eternity

……. The first to address this question, were two brothers, Jacob and Wilhelm Grimm (better known as the Brothers Grimm), German cultural researchers, philologists, and lexicographers that wrote a seminal collection of folktales titled Children’s and Household Tales (Kinder- und Hausmärchen), first published in 1812; a second volume was published in 1815. ……. But what interests us today, in discerning the length of eternity, is a lesser known story — the insightful, charming and timeless tale of the Shepherd Boy. A king summons a shepherd, who is famous for his tremendous wisdom, and challenges him to answer three questions.

The third question is: “how many seconds of time are there in eternity?” He answers: “In Lower Pomerania [northern Poland, at the southern tip of the Baltic Sea] is the Diamond Mountain, which is two miles and a half high, two miles and a half wide, and two miles and a half in depth; every hundred years a little bird comes and sharpens its beak on it, and when the whole mountain is worn away by this, then the first second of eternity will be over.”

Even shepherds are subject to arithmetic.

In Grimms’ story the mountain would have a volume of 15.625 miles3 or about 65 x 109 cubic meters. Assuming a density of 2000 kg/ m3 (or 2 x 106 g/m3), the mountain would weigh about 130 x 1015 g. Assuming further that the bird pecked 2 mg each time, the mountain would disappear after 65 x 1018 visits. Since each visit would occur every 100 years, the mountain would last 65 x 1020 years. And since 1 Zettayear is 1 x 1021 years the mountain would last 6.5 Zettayears (Zy). And that would then be one second of Eternal Time. The curious thing is that one Eternal Year would have to consist of 31.55 million Eternal Seconds and thus

1 Eternal Year = 205,124 Yottayears where a Yottayear (Yy) is 1 x 1024 years

Eternity itself is, of course, endless even if an Eternal Year is bounded by the Diamond Mountain.

But we must not forget that for the word “eternity” plurals are allowed, and the deeper truth is that many eternities, each endless, are possible. In fact, there may well be an eternity of eternities.


 

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