No. As you approach the high energies of the early universe the laws of physics are not the same as in daily life.
That goes a bit too far into speculation as far as I can tell...or at least the wording implies such. I think the best you can say is that our understanding
of the laws of physics breakdown into an incomprehensible and contradictory mess. How reality behaves at the levels of energy involved
given our current understanding of how reality, in the general case
Now, to your point, I think what you're essentially driving at is correct - that our pragmatic
understanding of how reality behaves are treated as different
depending on actual context
- the levels of energy involved, spacial-temporal relationships and magnitudes, various scales of frequency, etc. But I don't think one can leap to saying that the laws of physics would have been different
in the early universe. I don't discount that possibility, but thus far have no reason to accept it. General relativity gave us a better understanding - a different understanding
- of the nature of gravity. But it would be incorrect to say that general relativity "does not apply" or is a "different physical law" simply because we are talking about the interaction of a baseball and a planet.
The universe does not live within anything. The universe is itself time and space but without an edge, like the surface on a sphere.
See, to me, this is assuming that 'the universe' and 'reality' are the same thing. Now, by and large, I'm more than happy to share that assumption. I can think of no situation where my outlook on reality (consequently have no effect
on my decisions, responses, actions, beliefs, thoughts, etc.) is modified based on the distinction between 'reality = universe' and 'reality = universe + <insert thingie that contains universe>'. It's largely semantics for my day to day life, and unless the topic of conversation is specifically
regarding the relationship between 'universe' and 'reality', I'll take the 'meh' approach.
That is, in essence, my responseVerbose Edition
to the question "What does the universe, time and space live within?" question:I dunno. It may not live in anything at all. Wonder what data we'd need to answer that question...
...oh hey cartoons!