From: Jonathan de Boyne Pollard on
>
>>>
>>> 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
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
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
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
"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--