From: Jonathan de Boyne Pollard on 10 Mar 2010 10:29 > >>> >>> They are empty, they contain everything, including themselves and >>> any scale you use to weight them, so they cannot have weight. >>> >> So here's an interesting question, then: What's the acceleration due >> to gravity at the surface of a Klein bottle? >> > It's a trick question, because Klein bottles do not suck. > Here are four more interesting questions: Given the stated premise that Klein bottles "contain everything", for a bottle with a finite radius of cross-section (say 1 metre), what is the mean density of its contents? How big does such a Klein bottle need to be before its surface is outside of its event horizon? What about outside of its Schwarzschild radius? Would such a Klein bottle be considered rotating or non-rotating?
From: Peter Moylan on 11 Mar 2010 18:41 Jonathan de Boyne Pollard wrote: >> >>>> >>>> They are empty, they contain everything, including themselves and >>>> any scale you use to weight them, so they cannot have weight. >>>> >>> So here's an interesting question, then: What's the acceleration due >>> to gravity at the surface of a Klein bottle? >>> >> It's a trick question, because Klein bottles do not suck. >> > Here are four more interesting questions: Given the stated premise that > Klein bottles "contain everything", for a bottle with a finite radius of > cross-section (say 1 metre), what is the mean density of its contents? > How big does such a Klein bottle need to be before its surface is > outside of its event horizon? What about outside of its Schwarzschild > radius? Would such a Klein bottle be considered rotating or non-rotating? > Ordinary Klein bottles contain all of space. A sufficiently large _rotating_ Klein bottle would contain all of time. -- Peter Moylan, Newcastle, NSW, Australia. http://www.pmoylan.org For an e-mail address, see my web page.
From: R H Draney on 12 Mar 2010 00:55 Peter Moylan filted: > >Jonathan de Boyne Pollard wrote: >> Here are four more interesting questions: Given the stated premise that >> Klein bottles "contain everything", for a bottle with a finite radius of >> cross-section (say 1 metre), what is the mean density of its contents? >> How big does such a Klein bottle need to be before its surface is >> outside of its event horizon? What about outside of its Schwarzschild >> radius? Would such a Klein bottle be considered rotating or non-rotating? >> >Ordinary Klein bottles contain all of space. A sufficiently large >_rotating_ Klein bottle would contain all of time. Perhaps one *does*...that would sort of close the book on cosmology, wouldn't it?...r -- "Oy! A cat made of lead cannot fly." - Mark Brader declaims a basic scientific principle
From: Adam Funk on 12 Mar 2010 05:15 On 2010-03-12, R H Draney wrote: > Peter Moylan filted: >>Ordinary Klein bottles contain all of space. A sufficiently large >>_rotating_ Klein bottle would contain all of time. > > Perhaps one *does*...that would sort of close the book on cosmology, wouldn't > it?...r ITYM "let the genie out of the bottle", HTH, HAND. -- Two of the most famous products of Berkeley are LSD and Unix. I don't think that this is a coincidence. [anonymous]
From: Otto Bahn on 12 Mar 2010 11:46
"Peter Moylan" <gro.nalyomp(a)retep> wrote >>>>> They are empty, they contain everything, including themselves and >>>>> any scale you use to weight them, so they cannot have weight. >>>>> >>>> So here's an interesting question, then: What's the acceleration due >>>> to gravity at the surface of a Klein bottle? >>>> >>> It's a trick question, because Klein bottles do not suck. >>> >> Here are four more interesting questions: Given the stated premise that >> Klein bottles "contain everything", for a bottle with a finite radius of >> cross-section (say 1 metre), what is the mean density of its contents? >> How big does such a Klein bottle need to be before its surface is >> outside of its event horizon? What about outside of its Schwarzschild >> radius? Would such a Klein bottle be considered rotating or >> non-rotating? >> > Ordinary Klein bottles contain all of space. A sufficiently large > _rotating_ Klein bottle would contain all of time. > > -- > Peter Moylan, Newcastle, NSW, Australia. http://www.pmoylan.org > For an e-mail address, see my web page. What's not safe for work about Newcastle?! Does Australia have zero tolerance in the workplace? --oTTo-- |