Topological phase transitions for the whole Universe...?

In summary: The only "predictions" in this case would be a set of probabilities for different outcomes, based on the model. And again, without any evidence that such a phase transition has actually occurred, we can only make guesses about what those outcomes might be.
  • #1
Suekdccia
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TL;DR Summary
Topological phase transitions for the whole universe...?
Physicist Grigory Volovik has put forward some ideas about the universe undergoing a topological phase transition (especially in the early stages of the universe). He published a book called "*The Universe in a Helium Droplet*" where he explained his ideas. You can find a brief discussion here (https://arxiv.org/abs/1407.6681).

In one discussion I had with Mr. Volovik, he mentioned that depending on the type of topological phase transition that could have occurred in the universe, all the fundamental symmetries of the universe (spacetime symmetries, translation symmetries, CPT invariance, internal invariances...) could be all emergent from a more fundamental state without symmetries (like in Holger Nielsen's "random dynamics" proposal (https://physics.stackexchange.com/questions/526845/what-is-the-universe-in-a-helium-droplet-about) where all symmetries in the universe would be emergent)

I asked him if this was all speculation or if there was some truth behind and he replied that although we don't know if the universe actually took this "path", we know that this topological phase transition would be possible. Since you have a note on the "seriousness" of the book, do you agree? Would that be possible according to what we currently know about physics (although we don't know if this actually occurred at some point of the universe's history)? Or, on the contrary, we don't even know if these transitions are even possible to begin with?
 
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  • #2
Suekdccia said:
Would that be possible according to what we currently know about physics
I don't see how anyone could claim that we know such a thing is possible, since we have no evidence that any such thing has happened and the only theoretical models that contain such a possibility are speculative ones that also have no evidence to support them.
 
  • #3
It is not even clear what it means to know anything is possible that we don't know has happened, or to know the alternative, that something is impossible. It seems better to simply avoid either term in science, since science is about what seems most likely, not what seems possible or impossible. We are simply trying to decide where to invest our efforts, and what observations we need to do, so the right way to say it is not that we know it is possible that such a phase change could occur, but to argue that it is worth such-and-such investment or observation to decide if such a phase change actually did occur. That's all that needs be said, or can be said, in science. (At the end of the day, science is always about winning a bet. If we have cancer, we turn to science not because we know something is possible or impossible, but simply because we think it maximizes our chances, so is worth the investment.)
 
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  • #4
Suekdccia said:
TL;DR Summary: Topological phase transitions for the whole universe...?

Physicist Grigory Volovik has put forward some ideas about the universe undergoing a topological phase transition (especially in the early stages of the universe). He published a book called "*The Universe in a Helium Droplet*" where he explained his ideas. You can find a brief discussion here (https://arxiv.org/abs/1407.6681).

In one discussion I had with Mr. Volovik, he mentioned that depending on the type of topological phase transition that could have occurred in the universe, all the fundamental symmetries of the universe (spacetime symmetries, translation symmetries, CPT invariance, internal invariances...) could be all emergent from a more fundamental state without symmetries (like in Holger Nielsen's "random dynamics" proposal (https://physics.stackexchange.com/questions/526845/what-is-the-universe-in-a-helium-droplet-about) where all symmetries in the universe would be emergent)

I asked him if this was all speculation or if there was some truth behind and he replied that although we don't know if the universe actually took this "path", we know that this topological phase transition would be possible.
Well, models have predictions, Does his model have predictions? ...from theory to observations.
à la inflationary model (or others)
 

Related to Topological phase transitions for the whole Universe...?

What is a topological phase transition?

A topological phase transition refers to a change in the global properties of a material or system that cannot be described by local order parameters. Unlike conventional phase transitions, which are characterized by symmetry breaking and local order, topological phase transitions involve changes in the topological invariants, which are properties that remain constant under continuous deformations.

How can topological phase transitions be applied to the entire Universe?

Applying the concept of topological phase transitions to the entire Universe involves considering changes in the global structure of spacetime or the configuration of fields that permeate the cosmos. This could potentially explain large-scale phenomena such as the formation of cosmic structures, the behavior of dark matter and dark energy, or even the birth and evolution of the Universe itself.

What evidence supports the existence of topological phase transitions in the Universe?

Evidence for topological phase transitions in the Universe is largely theoretical at this point. However, certain cosmological observations, like the cosmic microwave background radiation, large-scale structure distribution, and anomalies in the distribution of galaxies, might be interpreted as signatures of such transitions. Additionally, theoretical models in quantum gravity and string theory suggest that topological changes could play a role in the early Universe.

What role do topological invariants play in these transitions?

Topological invariants are quantities that remain unchanged under continuous transformations and are used to classify different topological phases. In the context of the Universe, these invariants could describe properties of spacetime, such as the number of holes or twists in a given space, and determine the behavior of fields and particles. Changes in these invariants during a topological phase transition would signify a fundamental change in the structure of the Universe.

Can topological phase transitions provide insights into dark matter and dark energy?

Yes, topological phase transitions might offer new perspectives on dark matter and dark energy. For instance, dark matter could be understood as a manifestation of a topological phase of some field, while dark energy could be related to the topological properties of the vacuum. Understanding these transitions could help in developing unified theories that incorporate these mysterious components of the Universe into the broader framework of cosmology and particle physics.

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