Can a universe exist without matter?

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Dremmer
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Just including time, space and energy, but no matter?
 
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If by "can a universe exist" you mean "does a consistent classical GR description exist", then yes you can have a universe with energy (just radiation) but no matter, or you can even have a universe with just pure gravity - a so-called vacuum solution.
 
But what if in quantum gravity?
 
Yes, Space Time and Energy, that's what most things consist of such as the unverse. Matter makes up parts of the unoverse such as our solar system and our planet. Think of alternate dimensions that you here of on TV or in Movies. They sometimes have no matter but yet they exist. This topic can be tricky but yes i pretty sure you can have a universe with no matter.
 
Why is that even interesting, if it's inherently impossible to observe or verify?