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Reading The Connectivity Hypothesis by Ervin Laszlo...

Singulation, being a process of a quasi-instantaneousness, and related to a single singularity, is more of a coordinate singularity than a topographical one/equation.
I don't see any problem with pre-singularity being a plenum field theory, then having it change and become a coordinate field idea upon singulation. (For some reason I cannot fully understand, physicists seems unable to combine parts and pieces of both classical and quantum theories together when necessary to be able make a consistent and holistic theory.)

I also think that time DOES become part of singulation on the quantum level, BUT it is not irreversible after singulation. And it DOES become a thermodynamic arrow of time as mass increases.
The setting of the directional arrow of time upon singulation does mean that complexity increases because at the quantum level, singulation is happening, oh, about a gazillion times a second, and because of the inherent properties of each 'natural' singularity which becomes atomic, common direction in time and of time occurs.