What foundational premise supports the model of infinite spatial repetitions within one spacetime continuum?
Answer
The universe stretching on forever combined with a finite number of ways particles can arrange themselves.
If space extends infinitely, and there are only a finite number of ways that matter particles (which are finite in type) can be arranged within any given volume, then any finite configuration must inevitably repeat somewhere else in that infinite space.

#Videos
How Many Universes Are There? - YouTube
How many universes are there? - Chris Anderson - YouTube
Related Questions
How are the bubble universes predicted by eternal inflation separated from one another?What is the key difference in physics between infinite space repetitions and eternal inflation multiverses?What foundational premise supports the model of infinite spatial repetitions within one spacetime continuum?What is the significant scientific hurdle associated with the Many-Worlds Interpretation (MWI)?According to the Many-Worlds Interpretation, what happens when a quantum outcome is observed?What characteristic defines the Mirror Universe Concept related to the Big Bang?What do the estimated $10^{500}$ solutions arising from String Theory represent?What potential empirical evidence might exist if another universe brushed against ours?Which statement summarizes the current confirmed evidence regarding the number of universes?What scientific principle is often invoked as an argument against adding countless unobservable multiverse entities?What governs the physics within universes generated by the Infinite Space Repetitions model?