Dear Alexey,
Thank you for posting an interesting essay. You presented many questions I believe we should further consider in the discussion of discovering a unified theory describing nature.
The fact the universal laws were well constituted, established, and in practice billions of years before humans were cognitively/consciously capable of developing symbols to describe and interpret them suggests our involvement in the theoretical/calculable discovery of these laws plays an insignificant (if not minimal) role in their fundamental purpose, function, and prevailing existence. This clearly suggests we are only capable of deriving various tools and methods of communicating physical phenomenon by observation for contemplation among our own human kind using a preferred but limited practical method of describing the logic of reality - mathematics and physics. In other words, the moon and other planets existed before we were capable of observing, discovering, and offering them their descriptive names for identification and definition as planet and moon. The universe however, observes a celestial body, humans, during our limited methods of understanding, tend to classify these observations for identification which leads to interpretation and confusion regarding the fine tuning of an equitable definition of the observation itself. We are fundamentally at fault for our own chaotic misconceptions in our attempts to understand quantitative observations.
Chaos is not without structure, it is however a calculable distinct derivation of a "defined" ordered state. We may never discover or possess the experimental capacity to confirm definitely the existence of conscious intellectual beings residing in the opposite sides of our universe (as they may simply assume we do not exist), but we may speculate their existence without confirmation just as we may speculate the undiscovered laws governing nature must exist, but is currently undiscovered or recognized and therefore appears unfathomably possible from our limited progress of exploratory pursuits. Perhaps, it is likely, we have been looking in the wrong direction while utilizing the many available tools at our disposal. This does not suggest the tools are useless from being derived by our own conception, the impossibility of a unified theory describing nature is nonexistent, or complication from chaos plays a pivotal role in its evasiveness. It simply means we have not looked in the appropriate direction when attempting a discovery of what we assumed cannot be found. Furthermore, humans are often flawed by our own distractions of self, we may only need to pursue this discovery with our eyes and minds open to alternative methods of discovery not yet considered and contemplated by conventional means. But regarding a unified theory if it exists, we will find it to be self-evident, self-explanatory, and independent of any other supportive methods conceived by our human applied interpretation, therefore it will remain unbounded yet simple.
Best Regards,
D.C. Adams