without resorting to scalar fields

In summary, the authors discuss how loop quantum cosmology modifies the equation of state of ordinary matter, potentially solving the horizon problem without the need for scalar fields. However, this is not the main focus of the paper, which instead explores ways to explain the observed structure formation without assuming an exotic field. The authors propose a tough but not entirely hopeless solution, as natural quantum geometry inflation alone does not provide enough e-foldings for successful structure formation. This challenges the assumption of an additional scalar field inflation episode and calls for alternative explanations for structure formation.
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"...without resorting to scalar fields"

http://arxiv.org/astro-ph/0703566

Co-authored by Parampreet Singh, one of the experts in Quantum Cosmology (gauged by publication trackrecord and citations by other scholars, see:
https://www.physicsforums.com/showthread.php?p=1368143#post1368143 )

from page 6 of the paper

"Loop Quantum Cosmology...is known to modify the equation of state of ordinary matter, thereby permitting a solution of the horizon problem, without resorting to scalar fields."

This is not news, it's been known for quite some time. That's not the point of the paper, which concerns ways to explain the observed structure formation---the statistical features of observed clumping.

The comment about the horizon problem not requiring a specially cooked-up "inflaton" field is not the main burden of the article, it is just tossed out as a motivating remark.

What the authors are pointing out is that "inflaton" scenarios look different when there is only one main puzzle they are needed for, than when there are several puzzles. If some of the other puzzles are addressed naturally by the cosmological model, without resorting to putting in an exotic field by hand, it makes the scenarios less compelling.

And one is then tempted to see if the remaining puzzle of structure formation can also be addressed without assuming an exotic field. This is what the authors try to do, in fact, and they show that it is a tough problem but (i would judge) not entirely hopeless.
 
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natural QC inflation doesn't give 60 e-foldings

Bojowald states the problem succinctly on page 14 of this paper
http://arxiv.org/abs/0705.4398

"While these effects can be used in inflationary scenarios which require negative pressure at early times [references], the effects quickly subside once the universe has expanded to some size very small compared to its current size. In fact, such a quantum geometry epoch of inflation does not last long enough to provide all 60 e-foldings required for successful structure formation...."

In other words, quantum geometry with no exotic extras gives SOME inflation naturally, and that combined with other features can address certain problems, but it is not ENOUGH inflation to provide for the usual structure formation story.
For that story, you need expansion by a factor of e60, and you don't get that much from the quantum geometry of its own accord.
So LQC people regularly assume an additional scalar field inflation episode, like everybody else, when the subject comes up.

But since there seems to be only one major obstacle to dispensing with scalar field altogether, it is tempting to take up the challenge of explaining structure formation in some other way----and this is what the earlier paper, that Parampreet Singh co-authored, proposes to do.
 
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1. What are scalar fields?

Scalar fields are mathematical functions that assign a single value to every point in space. They are used in physics to describe quantities such as temperature, pressure, and density, which do not have a direction associated with them.

2. Why would one want to avoid using scalar fields?

Scalar fields have limitations in certain areas of physics, particularly in describing forces and interactions between particles. In these cases, vector fields, which also consider direction, are more useful. Additionally, scalar fields may not accurately represent complex systems or phenomena.

3. What alternatives are there to scalar fields?

There are several alternatives to scalar fields, including vector fields, tensor fields, and spinor fields. These fields consider direction, as well as magnitude, and are better suited for describing forces, interactions, and more complex systems.

4. Are there any real-life examples of scalar fields?

Yes, there are many real-life examples of scalar fields. For instance, the temperature of a room can be represented as a scalar field, where the value at each point in the room corresponds to the temperature at that location. Another example is the gravitational potential field, which describes the potential energy of an object at different points in space.

5. Can scalar fields be used in all areas of physics?

No, scalar fields cannot be used in all areas of physics. While they are useful in some cases, such as describing temperature or density, they are not sufficient for describing forces and interactions between particles. In these cases, other types of fields, such as vector fields, must be used.

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