The Shannon-Hartley law and the limit of self-ordering of biological systems

Biological systems belong to a special class of physical systems that are characterized by the ability to simultaneously self-organize and evolve. Any interaction of material systems is accompanied by the synthesis-transmission-reception of information. The Shannon - Hartley law limits the throughput capacity of an information channel. Following W. R. Ashby, we associate self-regulation/self-organization with the limitations of the system controller's throughput capacity. It is assumed that the throughput capacity of the controller can be indirectly determined based on the Shannon redundancy value (= measure of organization, R). The theoretical value of R for the inflection point of the throughput graph is about 0.31. It is assumed that self-organization is accompanied by an increase in order. This hypothesis was tested on examples of strong internal organization (mammalian skulls and metapodial bones). It was shown that the controller does not provide strict control of the size/shape of the skull and postcranial bones, but supports an unexpectedly high variety of these morphological systems (R