If we suppose that the universe is spatially infinite and extends more or less homogenously in all directions without end (having similar galaxies, stars etc.), then we can assume that there is a more than zero probability for a macroscopic quantum tunneling event to occur somewhere (let's say a pebble tunneling through a barrier/rock wall or something similar). But if the universe is infinite then there could be infinite such tunneling events going on at any given time in different locations. In such a case if we consider the set of all those events where such tunneling occurred, we can ask further whether if another tunneling event occurred just after the first one. Surely the probability for that (two macroscopic tunneling events occurring sequentially or side by side) would be even smaller but that still would be more than zero (think of the pebble tunneling back to the original side just after tunneling to the other side). Hence such set of two nearby or sequential tunneling events would also be occurring somewhere in this infinite universe.
Taking this logic further and increasing the number of simultaneous or sequential nearby tunneling events we can think of an entire "zone" of the universe where this tunneling occurs all the time macroscopically (just because it can due to still having a miniscule but non zero probability). Does this seem to imply that there would be zones in an infinite universe where apparently the normal natural laws seem to be violated just from the implications of quantum mechanics (which in itself is a set of normal natural laws).
What would observers in such "weird" zones conclude about the nature of universe and its laws and would they be able to develop similar theories of QM (an experimenter inside this zone might conclude that macroscopic tunneling is actually the 'norm' in nature and might derive very different set of laws from that). What about the possibility that we ourselves might be living in such a weird zone where laws which we consider to be the norm from our perspective are actually quite rare and exceptional phenomenon when viewed from the perspective of the universe as a whole?
Does this scenario seem plausible and is the existence of such zones very likely in the case of an infinite universe governed by QM?