How would this structure compare to a von nuemann universe?

[eternal1234]

We know that von nuemann universe is one of the biggest mathematical structures possible, to summarize it, it works on cumulative hierarchy of sets where the set at each level is the union of all previous levels and their powerset and so on infinitely(if im not wrong)

But lets say we have an object that can replicate infinitely, copies of which can also replicate infinitely and copies from previous iteration can also replicate infinitely

Basically we start with one object at 0th level, then it replicates infinitely and that infinity is added to the 1st level along with the object, then the 0th and the 1st level and their infninite replications are added to the 2nd level and so on

Basically:

-0th iteration={1}
-1st iteration={1, aleph0}
-2nd iteration={1,1,aleph0, aleph0, aleph0, aleph1}
3rd iteration={1, 1, 1, 1, aleph0, aleph0, aleph0, aleph0, aleph0, aleph0, aleph0, aleph0, aleph1, aleph1, aleph1, aleph1, aleph1, aleph2}
.
.
.
.
.
.
And so on infinitely



What i do understand is this can be said to be fractal replication system or smth

And the growth of complexity of this structure can be considered hyper exponential compared to von nuemann universe's iterative and cumulative growth

So what do ya'll think how does this structure compare to a von nuemann universe?

edit: if anyone finds this nonsense please dont waste your time