I am finding it hard to believe that any algorithm exists that would defy observability measures and I assume that you are speaking of linear time-invariants? Are you able to offer any explanation as to how mathematical inconsistencies appear because of limitations imposed observability orders as per the paper? It seems to me that no explanation is offered at all, other than removing observability entirely. That would make a dynamical system rather odd, no?

Upon limited reflection, I am inclined to think of the human mind as more closely resembling an analog (i.e., continuously recording), as opposed to binary (i.e., discreetly sampling), data processor.

At a very reduced level of cognition, the human mind may process semantic data in binary fashion (i.e., true/false, or yes/no).

Isn't the binary limitation of current computer processing why quantum processing is desired?