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Ekpyrotic Cosmic Balloon

Posted February 05, 2011 10:00 PM by Jorrie

In my prior Blog, we have seen roughly how the 'colliding branes cosmic model', or 'ekpyrotic model' works. Two parallel branes, which can be thought of as 3-dimensional 'sheets' in 4-dimension space, collides and creates a 'hot Big Bang', in one (or both) branes, without having to start from a singularity. For visualization, the branes are usually pictured as just flat 2-d sheets, living in 3-d space. The 2-d surface represents normal 3-d space and the third dimension represent hyperspace, where many branes may live, without us being able to observe them directly.

Now this is very similar to the old 'cosmic balloon', where the surface represents all three dimensions, with the third dimension representing the fourth space dimension (sometimes also called 'hyperspace'). Now what if we give this balloon a double skin with a tiny gap between? Shown here is the original cosmic balloon (black surface, called 'Brane A') and the extra skin as just a green circle (representing a similar 2-d brane, 'Brane B').

If we can devise something that sits in the gap and give a 'push' and a 'pull' to each brane, can we have an 'ekpyrotic cosmic balloon'? Similar to the original cosmic balloon, where we simply programmed a pump to inflate the balloon to the correct cosmic expansion law, I suppose we can have an extra pump that just pumps the gap.

Recall that we tried in vain to design an 'engineering solution' for a self-inflating balloon that have all the characteristics of the standard cosmic model. In the end we had to revert to a brute force method of just pumping at the right rate for the time we were in. I do not suggest that we try that exercise again, so we should perhaps just pump the gap at the required rate as well. It is important to have two pumps, though, because the dynamics of the inner balloon may be different from the dynamics of the outer balloon.

The benefit of the cosmic balloon analogy is that it makes some concepts easier to visualize. Proof of that is in the five or so 'applications' of the cosmic balloon that I posted following the "perfect cosmic balloon" thread. I thought this effort may perhaps make colliding branes also tiny bit easier to comprehend and to contemplate the effects.

Like the original 'design', this will probably also be a 'work in process', not a product; so, if you are interested in the progress, subscribe to this thread; or even better, collaborate in the project "Design the Perfect Ekpyrotic Cosmic Balloon".

-J

PS: I did not intend to post this in this week, but made an error in the delayed posting date, hence it appeared yesterday as a 'stub'. Sorry about that.

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#1

Re: Ekpyrotic Cosmic Balloon

02/07/2011 3:27 AM

Is this a stub?

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#2
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Re: Ekpyrotic Cosmic Balloon

02/07/2011 4:22 AM

"Is this a stub?"

Yup, sorry, it was not intended to go out!

Have some distractions a.t.m., so will complete later...

-J

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Re: Ekpyrotic Cosmic Balloon

02/07/2011 5:34 PM

Must be one of those cryptic cosmic balloon ... pockets.

/Okay, gotta go look up 'ekpyrotic'. I hope it doesn't involve underage ekpys.

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Re: Ekpyrotic Cosmic Balloon

02/08/2011 12:23 AM

Hi USB, hopefully not, but the topic appears to be quite se@y, and so is IMHO, the new double balloon picture in the (eventually), updated stub.

-J

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Re: Ekpyrotic Cosmic Balloon

02/08/2011 4:06 AM

Oh, 'ek, now my brane hurts!

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#6

Re: Ekpyrotic Cosmic Balloon

02/11/2011 2:40 PM

I thought a few clarifying remarks on the rather cryptic OP would be in order.

Most 5-D (four space and one time) brane models have the characteristic that gravity 'leaks' from the usual three space dimensions into the fourth space dimension. The farther a gravitational field reaches, the more gravity leaks out. In one of the simplest brane cosmology models, the Dvali–Gabadadze–Porrati (DGP) model,(a) gravity starts out as being an inverse square of distance force at shorter ranges and ends up as an inverse third power of distance force at very large distances. In other words, the gravitational landscape appears to be a 4-D gravity law at short range and gradually goes over to appear like a 5-D gravity law at very long range.

With the right leakage parameter chosen, it has exactly the same effect as the vacuum energy variety of dark energy that appears in the ΛCDM cosmic model. Now for this we do not need a 'double skin balloon'; as long as we have the fourth space dimension around the balloon, it will work, i.e., we will get the appearance of accelerated expansion in late times. That is according to the DGP model, at least.

However, to get the effect of dark matter, we need another brane close to 'our brane' (in the fourth space dimension, that is). Some of the gravity that 'leaks' from the second brane will then find its way onto the first brane (ours) and will look like extra mass that we cannot observe. The second skin of the balloon can perform that feat, provided that (according to the ekpyrotic model) the gap is around 10 μm (yes, only ten microns!)

To be ekpyrotic though, we need to have a mechanism in that gap with a 'springy action'. The two skins must be able to expand together, but with a very, very slow oscillation in the gap. This should perform the equivalent of 'collisions', resulting in repeated 'Big Bangs' every trillion years or so. Something like a 'Big Crunch' only in the fourth space dimension, while the other three dimensions experience only the 'Bang' part. This is the most difficult idea of the colliding branes model to understand, never mind justify...

Crazy, but more about it later.

-J

(a) http://en.wikipedia.org/wiki/DGP_model

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