It's easy to form conjectures, but there is a deep metaphysical problem when it comes to satisfactorily modeling a system from the inside. It's turtles all the way down [0]. Unless our universe is embedded within another system, and its configuration at least partially mirrors the configuration of the system it is embedded within [1], and this is recoverable, then we really just can't make many absolute claims about the nature of our universe's particular configuration.
[0] And the only way out is by solving the deepest metaphysical problems which physics has not been able to touch, such as, "Why is there anything at all?"
[1] An example might be the conservation of energy, or stationary action. If such principles were to hold even within a system our universe might be embedded in, we could start to narrow down a few things and maybe uncover some suprauniversal inevitabilities. The challenge is proving that without observing the universe from the vantage point of a host system, which would really mean proving the inevitability of such principles in any system of sufficient complexity.