Can you imagine geometry without matter and light?

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The discussion centers on the relationship between geometry and matter, with participants expressing skepticism about the existence of meaningful geometry in a universe devoid of matter and light. Many argue that geometry relies on physical entities to define distances and angles, making it seem meaningless without them. Some mention that while mathematical solutions in general relativity can exist without matter, they lack physical significance without test particles or clocks to measure and experience those geometries. The conversation also touches on the idea that space may have properties independent of matter, yet real interactions among entities are essential for a tangible understanding of geometry. Ultimately, the consensus leans towards the notion that geometry is intrinsically linked to the presence of matter and energy.
  • #31
It is not exactly the same situation as with the electrostatic potential. Here we know what all of space and time is and can tell whether there is more space other than the region with no charge.
 
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  • #32
us40 said:
First of all thanks for your reply and to put my question as thread.

What I am try to say about is we are approaching de sitter phase and universe was also in de sitter phase when inflation epoch started.(http://en.wikipedia.org/wiki/De_Sitter_universe).So all matter and energy will be diluted so nothing left but ever expanding space with cosmological constant.So doesn't it mean that space was there before big bang when all matter and radiation created and after there when all will be diluted so space is not property of big bang but only time is.Means time is created with big bang and it may be the reason time has property like arrow but space does not because entities that perceive time creates with big bang.While space doesn't need it.(Here I think an analogy,if you drink coffee you need mug first,and after you drink coffee mug is still there.But when coffee was there it increase temperature the surface of mug,like when universe was in matter dominated era expansion of universe is slower,but after you consume your coffee,mug retain its temperature and like that space retain its energy dominated properties again.)

Please reply...
 
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