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Matt-er

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**note**(you don't have to read this;

*feel free to skip to where it says "here are my questions"*) the following:

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Firstly, I am somewhat still new to posting in these forums, and as such, am not sure if this is the right place to put this thread, so if you're a moderator or other high ranking official, I am sorry for making your life harder, but please move this thread where you deem fit, thank you.

Secondly, for the people who were following my previous thread, I wish to apologize for basically leaving it in neglect- I have my reasons: I have been recently swamped with college, and also working part time, so I have had no time to post/ concentrate my time on anything physics related... I am telling others this as well, because the same might happen to this thread. I will try to be active on it, but I cannot promise to respond on a regular basis or frequently- I will try my best though. Thanks.

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**Now, on to the topic!**In the little spare time that I do have, I have managed to come across and read about some interesting theories (though they are kind of ... on the border line of insanity/ "sci-fi fake-tion") which claim that certain geometries of space-time may actually influence the very structure of matter itself. Granted that while this may or may not be true, I wish to dwell deeper on the subject involving the curvature of space and what is needed to produce that certain curvature.

In this thread specifically, I would like to

**ask questions about/ discuss the klein bottle, represented in 4D.**

Bare in mind,

**I am a complete newb**when it comes to equations or generally dealing with curvature of space time, so please feel free to point out anything wrong with the following questions, but please as usual: no flaming, laughing at stupidity, spitting on the sidewalk. Thanks...

*Here are my questions:*__________________________

**This is a more general question: when talking about traversable worm-holes, the following equation is used to describe their curvature in the Minkowski space-time:**

__1.__**But, how does this equation describe the curvature of space to be of this form?**I guess I am mostly looking for a guide that could explain what each variable means and how the equation represents this specific geometry.

__Any help at all would be greatly appreciated.__

**Also, is the negative term in the equation the reason that exotic matter is needed to produce certain parts of the wormhole**(from what I understand, the second "mouth" part)?

__2.__**Is there an equation that describes the curvature of Minkowski space-time which will produce the klein bottle shape (aka: the klein bottle in 4D)?**

__I've been looking for it, yet have had no success in finding it. If it is impossible to make such an equation for some reason, why is that so?__

**If yes, please post it;**

__3.__**If there already exists an equation that describes the klein bottle in Minkowski space-time, does it suggest that some form of exotic matter is needed**to create such a curvature? And, in general,

**if exotic matter is needed, why is it needed?**Is there some reason that in order to overlap the space-time geometry in on itself at the mouth of the klein bottle that it calls for the need of exotic matter?

__4.__**How feasible would it be to curve space-time into a klein bottle shape?**Ie: How much energy would be needed in order to produce this at a certain scale (at any scale- you choose! )?

______________Alright, I'm done for now. If more questions pop up, I'll ask them later. My plan is to first have these questions be answered, and then perhaps, make this thread into a discussion.

Thanks in advance, awaiting your replies,

- Matt-er