# Space-time is finite, but has no boundaries?

**URL:** <https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902>\
**Category:** Factual Questions\
**Created:** [July 13, 2004, 3:28pm UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902 "2004-07-13T15:28:14Z")\
**Posts on this page:** 8\
**Page:** 2

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**Author:** ![ComeToTheDarkSideWeHaveCookies](https://avatars.discourse-cdn.com/v4/letter/c/e9bcb4/32.png) [@ComeToTheDarkSideWeHaveCookies](https://boards.straightdope.com/u/ComeToTheDarkSideWeHaveCookies)\
**Post date:** [July 15, 2004, 9:40pm UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/21 "2004-07-15T21:40:48Z")

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I had a hard time getting my brain around such concepts back in my Calculus days when we covered [Gabriel’s Horn](http://mathworld.wolfram.com/GabrielsHorn.html).

Now it is just about the only thing I’ve retained from my excursions into higher math, except for the constant doodling of hypercubes, of course.

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**Author:** ![Mathochist](https://avatars.discourse-cdn.com/v4/letter/m/c89c15/32.png) [@Mathochist](https://boards.straightdope.com/u/Mathochist)\
**Post date:** [July 16, 2004, 2:13am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/22 "2004-07-16T02:13:35Z")

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> [@Loopydude](#):
>
> Pick up “The Fabric of the Cosmos” by Brian Greene. It’s a good current survey of Cosmology and touches on some of this space-time topology stuff. IIRC, Hawking’s model of the universe that shows up in his diagrams in ABHoT implies a “big crunch” in the future. The jury is still out, but these days the big crunch seems less and less likely to happen. Rather, we’re starting to worry about a “big rip”.

Yes, I’m somewhat aware of the SOTA in cosmology. This answers nothing about my proposal of “antianthropic” boundaries.

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**Author:** ![Mathochist](https://avatars.discourse-cdn.com/v4/letter/m/c89c15/32.png) [@Mathochist](https://boards.straightdope.com/u/Mathochist)\
**Post date:** [July 16, 2004, 2:14am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/23 "2004-07-16T02:14:45Z")

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> [@honeydewgrrl](#):
>
> except for the constant doodling of hypercubes, of course.

2-d projections of the 1-skeletons of hypercubes, I’m sure.

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**Author:** ![Loopydude](https://avatars.discourse-cdn.com/v4/letter/l/e56c9b/32.png) [@Loopydude](https://boards.straightdope.com/u/Loopydude)\
**Post date:** [July 16, 2004, 2:19am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/24 "2004-07-16T02:19:32Z")

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> [@Mathochist](#):
>
> Yes, I’m somewhat aware of the SOTA in cosmology. This answers nothing about my proposal of “antianthropic” boundaries.

Well, actually I was addressing the OP, since a question was asked about other books.

Does that not not answer your question?

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**Author:** ![Lord\_Ashtar](https://avatars.discourse-cdn.com/v4/letter/l/7ea924/32.png) [@Lord\_Ashtar](https://boards.straightdope.com/u/Lord_Ashtar)\
**Post date:** [July 16, 2004, 2:29am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/25 "2004-07-16T02:29:50Z")

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> [@Loopydude](#):
>
> Pick up “The Fabric of the Cosmos” by Brian Greene. It’s a good current survey of Cosmology and touches on some of this space-time topology stuff.

Thanks, I’ve just added it to my Amazon wish list.

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**Author:** ![Mathochist](https://avatars.discourse-cdn.com/v4/letter/m/c89c15/32.png) [@Mathochist](https://boards.straightdope.com/u/Mathochist)\
**Post date:** [July 16, 2004, 2:40am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/26 "2004-07-16T02:40:57Z")

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> [@Loopydude](#):
>
> Well, actually I was addressing the OP, since a question was asked about other books.
> 
> Does that not not answer your question?

Then why respond to _my_ post?

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**Author:** ![Loopydude](https://avatars.discourse-cdn.com/v4/letter/l/e56c9b/32.png) [@Loopydude](https://boards.straightdope.com/u/Loopydude)\
**Post date:** [July 16, 2004, 3:01am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/27 "2004-07-16T03:01:44Z")

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> [@Mathochist](#):
>
> Then why respond to _my_ post?

I didn’t. :rolleyes:

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**Author:** ![tim314](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/tim314/32/3468_2.png) [@tim314](https://boards.straightdope.com/u/tim314)\
**Post date:** [July 16, 2004, 3:07am UTC](https://boards.straightdope.com/t/space-time-is-finite-but-has-no-boundaries/254902/28 "2004-07-16T03:07:21Z")

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> [@Mathochist](#):
>
> 2-d projections of the 1-skeletons of hypercubes, I’m sure.

I like doing this too. I’ve been able to draw the 2-d projection of the 1-skeleton of a 7-cube (7 dimensional cube – is that the correct term?) before completely losing track of what was supposed to connect to what.

But I find it saves a lot of time to stick to the 1-d projection. 😉

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