I think we'd better start with some words
Proof is a tricky word - it a quite hard meaning in Mathematics but becomes a bit more subjective outside of it.
In the phycal world you form a hypothesis, make predictions based on that and then make observations. If those observations fall within a sufficient statistical level then than constitutes "proof"
That statistical measure is called five sigma and is roughly the same as tossing a coin 20 times in a row and getting the same result.
Now we have a problem in your hypothesis it's round the wrong way. We observe everything in the context of space and time so we should be asking if there is evidence that there is a deeper reality underlying this - I think that's a better way to ask what I think you're asking.
You could point out that Relativity already showed us a deeper reality of space and time - the notion of time as an unchanging fixed entity was given the lie by that.
I think though you might be most interested by some the idea string theorist Leonard Susskind has on the Holographic Universe
This is a bit of a "hippy trippy" interpretation but the Wiklipedia one is a bit technical
http://www.crystalinks.com/holographic.html