Hi Peter, thanks for developping your ideas, I thought about this generally , I have posted and answered on the essay of Philip Gibbs, I like his reasoning,
Here is the answer about a general point of vue on these informations.
Hello Ulla, happy to see you here, hello Professor Gibbs, here is general thought about these informations.
Entropical spherical informations and general universal communications , the sortings, superimposings, synchronisations and the link with quantum 3D spheres and the general spherisation of the universe .Why and how ? sources, signals and encodings .....
The complexity appears with the quantities of informations and can be ranked between the minimal and maximal of informations . For this let s consider a main universal emission from the central cosmological sphere, it is there that this infinite energy codes and transform thsi energy in matters, 3D finite series of spheres for me in a gravitational coded aether where this space disappears playing between the cold and heat generally.The source is from there and the aether is the source but it encodes also and recepts in function of evolutive codes and properties disered to create the diversity and communications of evolution in logic.
The works of Shannon can converge and the uncertainty can be better understood at my humble opinion seeing the complexity and number of these finite series having probably the same number than our cosmological finite series of spheres, there is like an universal link between this finite number,
the redondance and the equiprobability can be better understood if we know the real universal meaning of this general thought
The thermodynamics can converge considering two main constants for this gravitational aether, like codes playing between this zero absolute and this planck temperature, it is an assumption but when we consider all the properties of these series, we can understand better the synchronisations, the sortings, the superimposings with all the motions, rotations , oscillations of these 3D spheres.
The second principle in thermodynamics become relevant , Q/T correlated with this entropy and we can converge with the entropy of Shannon and the topological entropy in considering several mathematical Tools of ranking, like the lie derivatives, the topological and euclidian spaces, the Ricci flow and an assymetric Ricci flow, the poincare conjecture , the lie groups and others mathematical Tools. See that the motions, rotations , oscillations, volumes, densities, mass, angles, senses of rotations, moments, and other physical properties can help for the rankings and for a better understanding of communications ,uncertainties and probabilities.
The potential of these series so become the key and the distribution also of informations in function of codes of evolution and properties of matters. It is a question of internal energy and distribution of this energy in function of internal codes and informations. The relevance becomes the infinity of combinations.
Regards