marcus said:
Hi MattRob, big "if" :) People will tell you that eternal inflation (with its proliferation of different expanding regions) is inevitable consequence of inflation, but google what's between brackets [inflation w/o self-reproduction] and you get:
http://arxiv.org/abs/1409.2335
Inflation without Selfreproduction
Viatcheslav Mukhanov
(Submitted on 8 Sep 2014)
We find a rather unique extension of inflationary scenario which avoids selfreproduction and thus resolves the problems of multiverse, predictability and initial conditions. In this theory the amplitude of the cosmological perturbations is expressed entirely in terms of the total duration of inflation.
11 pages.
http://arxiv.org/abs/1412.2518
Inflation without self-reproduction in F(R) gravity
Shin'ichi Nojiri,
Sergei D. Odintsov
(Submitted on 8 Dec 2014)
We investigate inflation in frames of two classes of F(R) gravity and check its consistency with Planck data. It is shown that F(R) inflation without self-reproduction may be constructed in close analogy with the corresponding scalar example proposed by
Mukhanov for the resolution the problems of multiverse, predictability and initial conditions.
6 pages
V. Mukhanov is one of the world's top cosmologists---look him up in Wikipedia. He has been a major figure in the successful development and testing of inflation models. He sees the multiple proliferation of inflation as a problem (involving the weakening of predictability) so he has addressed that and shown that it is not a necessary consequence. You can have inflation
without "multiverse".
People seem to gloss over this and talk as if it were true that "multiverse" is an inevitable consequence of inflation. But I think it is good to be skeptical about that.
We don't yet know the whole story. And we really
don't know if inflation itself is necessary! It is one way the early universe may have achieved (near) flatness and sameness in all directions and an even spectrum of fluctuations. But some interesting other mechanisms achieving the same results have been proposed.
Hello, Marcus. Thanks for the detailed replies, but a few things do somewhat bother me based off of what I'm understanding: Just because you can have inflation without a multiverse, doesn't necessarily mean that a model without a multiverse is true. I understand that there's lots of problematic implications that spring from a multiverse theory, but I don't think that quite justifies adding a constraint that prevents self-replication just because self-replication brings up sticky issues. In a similar way, I'm sure if GR were formulated correctly, it could be made to match experiments and observations of the early twentieth century, but given a condition that prevents the runaway collapse of stars into black holes, and thus avoid the sticky issues of a singularity and inescapable event horizon. But nature seems to have little regard for avoiding difficult problems.
And true, inflation isn't a sealed deal, but it is still one of the best cosmological models I'm aware of - though honestly I'm not aware of very many (on that note, your later mention of the renewed interest in bounce cosmology is very interesting).
marcus said:
Scanning over all possible bubbles in the multiverse, everything that can physically happen does happen an infinite number of times.
While true, an easy way to get around this problem is to work with probabilities instead. In QM, technically just about anything is possible - but impractically improbable. True, working with infinities is a very sticky problem - but if the universe is endless then we're practically working with infinities already. A workable/heuristic solution might just be to only work within a certain system.
marcus said:
MattRob, the argument supporting multiverse notions is typically that they are "inevitable consequences" of some inflation scenario like "eternal inflation". But on what basis can one say that inflation is experimentally confirmed? Or observationally?
Another of the world's top cosmologists is Robert Brandenberger and he and his group at McGill have been working on a type of bounce cosmology that tries to obviate inflation. Get rid of the unphysical "singularity" at the start of expansion of the standard cosmic model and also achieve the early universe features which inflation was hypothesized to provide.
Yi-Fu Cai is a postdoc at McGill who has worked closely with Brandenberger and I would suggest checking out a recent paper of his.
Google [LambdaCDM bounce] to get:
http://arxiv.org/abs/1412.2914
A ΛCDM bounce scenario
Yi-Fu Cai,
Edward Wilson-Ewing
(Submitted on 9 Dec 2014)
We study a contracting universe composed of cold dark matter and radiation, and with a positive cosmological constant. As is well known from standard cosmological perturbation theory, under the assumption of initial quantum vacuum fluctuations the Fourier modes of the comoving curvature perturbation that exit the (sound) Hubble radius in such a contracting universe at a time of matter-domination will be nearly scale-invariant. Furthermore, the modes that exit the (sound) Hubble radius when the effective equation of state is slightly negative due to the cosmological constant will have a slight red tilt, in agreement with observations. We assume that loop quantum cosmology captures the correct high-curvature dynamics of the space-time, and this ensures that the big-bang singularity is resolved and is replaced by a bounce. We calculate the evolution of the perturbations through the bounce and find that they remain nearly scale-invariant. We also show that the amplitude of the scalar perturbations in this cosmology depends on a combination of the sound speed of cold dark matter, the Hubble rate in the contracting branch at the time of equality of the energy densities of cold dark matter and radiation, and the curvature scale that the loop quantum cosmology bounce occurs at. Finally, for a small sound speed of cold dark matter, this scenario predicts a small tensor-to-scalar ratio.
14 pages, 8 figures
As I put in parenthesis earlier, this is very interesting. I'll be sure to read it soon before commenting on it, specifically, any more than this.
I will concede that the point you've made for inflationary cosmology, as a whole, is very persuasive. But, my point really wasn't about inflationary cosmology's implications on a multiverse scenario, so much as it was some commentary on the issue of multiverses more generally.
You certainly made a compelling point on multiverses with different physical laws being inherently unfalsifiable, but I would add a detail to this point more generally, rather than applying strictly to current inflationary cosmological models: I'm not entirely sure that it's fair to call them completely untestable. If they can, given some conditions, such as those we observe in our universe, make testable predictions, then they're testable. If tests yield a negative result - but a free parameter can be modified to make it match data - then it is, indeed, unfalsifiable, but not necessarily untestable/unconfirmable.
On a very general, note, though, it is rather worrisome that as a general trend theories become harder and harder to test. On a somewhat related note, in the early twentieth century it was embarrassing to posit the existence of neutrinos, iirc, because they had not yet been observed and could not be with the technology of the time. Now it seems rather commonplace to suggest fields and particles exist that have not yet been observed.
Perhaps I should note, though, that I am just an undergraduate, so most of my understanding of these things is largely informal, so apologies if it's too lacking.