Comment to Stephen Wolfram's The Concept of the Observer.
There seems to be a strange filtering of comments on Stephen Wolfram's blog, so publishing the comment made several months ago here:
So the observer function is an abstracting compressor of computationally irreducible complexity into an adaptability model, in a coherent form of subjective experience.
In essence, you are making a case for the limitation of the classical computational way of understanding in order to grasp reality, which is hindered due to physical limitations of the observer, either biological or artificial.
There are many correlations in understanding the observer as a geometrically restricted consciousness experience, and there's a reverse approach to understanding with Donald Hoffman's conscious agent theory development using Markov blankets.
You have mentioned the question of finding meaning in different forms: physical (objects), mathematical (formulas), conceptual (ideas), linked to different paradigms of understanding. These meanings are likely developed from various sensory inputs, such as cognitive from sight with written language/symbols, mathematics and spoken language from hearing, and object forms from touch, etc.
So, we need to incorporate different paradigms of understanding and trigger the next scientific revolution in Thomas Kuhn's terms, reassessing assumptions related to time, self, independence, and environment. This is crucial to build a coherent consensus reality that includes all subjective experiences.
In terms of time, it seems that the model of time as a linear flow with past/present/future, suitable for adaptability, is better viewed as a causality wave in classical space. This perspective is unlikely to exist in the quantum realm.
On the cost of observability, it is worthwhile to consider the investigation of correlation with probabilities of events. What if the observer's conscious decision cost to choose a specific branch is equivalent to the probability? Thus, choosing less probable events in creating reality requires more willpower. Further research on non-classical computational models and investigating the link between consciousness and probabilities could be beneficial.
In summary, it is a good approach to build a more complete understanding of reality by incorporating a better understanding of the observer and its effect on observation. Or in other terms - consciousness and individual consciousness experiences.