“Our understanding of information processing structures and their internal and external behaviors causing their evolution in all physical, chemical and biological systems in nature and digital systems produced by humans in particular, are suggesting the need for a common framework where function, structure and fluctuations impact these systems composed of many autonomous components interacting with each other under the influence of external forces in their environment.”
According to Jack Copeland and Onan Shagrir, “the Church-Turing thesis (CTT) underlies tantalizing open questions concerning the fundamental place of computing in the physical universe. For example, is every physical system computable? Is the universe essentially computational in nature? What are the implications for computer science of recent speculation about physical uncomputability? Does CTT place a fundamental logical limit on what can be computed, a computational “barrier” that cannot be broken, no matter how far and in what multitude of ways computers develop? Or could new types of hardware, based perhaps on quantum or relativistic phenomena, lead to radically new computing paradigms that do breach the Church-Turing barrier, in which the uncomputable becomes computable, in an upgraded sense of “computable”?
There are at least, three possible arguments pointing to the limitations of CTT.
All living organisms are autopoietic and cognitive. Autopoiesis refers to a system with well-defined identity and is capable of reproducing and maintaining itself. Cognition, on the other hand, is the ability to process information, apply knowledge, and change the circumstance.
The new science of information processing structures based on professor Burgin’s Global Theory of Information allows us to not only describe, model and explain how the genome in cellular organisms embeds autopoietic and cognitive behaviors, but also allows us to design and implement digital autopoietic machines with cognitive behaviors.