PlatinumWildcat Your framework is interesting and general describing the universe as an informational substrate, a self-executing relational computation where mathematical rules are intrinsic to being.Platonic separation between realm of ideas and material world,it is a good perspective.
However,How to really consider the primary essence, the informations need a structure , that is why I consider the physical structures like the primary essence.We need structures to exist, to operate, the informations require a support,a configuration for the encodings, the transformations, the transmissions, the entropy, the negentropy....even if we take a computer , the information is not independent of the physical substrate like a hardware for the bits to be instantiated if I can say..
In the same sense, if the universe is an informational process, there must also exist a physical foundation or ontological substrate capable of hosting and expressing that informational dynamic.
This is where my own model takes a different direction.
I consider the possibility that the origin of the universe is not yet known, neither physically nor philosophically, but that it may emerge from what I define as a 0D infinite and eternal consciousnessan absolute potential, omnipresent and omnipotent, without extension in space or time.
This 0D consciousness is not a field, not a particle, and not a computation; it is the pure capacity for existence and manifestation. From it, both the physical structures and the informational relations can emerge.
In my work on spherical topological geometric algebras and the theory of spherisation, I attempt to formalize this process.
I start from spherical volumes, quantum and cosmological, as the elementary physical structures of reality,real geometric entities that carry energy, information, and interaction through their curvature, rotation, and oscillation. These spherical volumes form hierarchies of evolution, from the sub-quantum to the cosmological scale, where each level optimizes and stabilizes the dynamic organization of the universe.
Unlike the octonions or sedenions, which are purely algebraic and abstract extensions of number systems, my spherical algebras are geometrical and physical in nature. There we arrive at how we consider the general relativity also and the primary essence ,this GR wich acts well needs to be completed .The sphericsal volumes represent not only the logical relations but also the volumetric dynamics,the way energy and matter organize themselves in closed, quantized structures.
While octonions or sedenions cmay describe high-dimensional symmetries in mathematical form, spherical algebras aim to describe real symmetries in physical space, thus connecting directly to measurable structures.So the choice of the philosophy of origin in accepting our limitations is important because if the informations are not in the GR at this planck scale in 1d and not connected with this 1d cosmic field of the GR, all is different ontologically, physically, epistemically, philosophically speaking.
So the information must be inseparable from its physical encoding and so we need a specific universal mechanism and physical substrates and to go farer to this GR and the philosophy correlated.
Perhaps what we call dark energy and dark matter are not abstract or unknown substances but rather the physical structures that complete the puzzle, the dark energy could even be informational for the physical structures and antigravitational encoding the dark matter quanta of mass and completing the higgs mechanism and encoding the photons , a fifth appears even with this DE antigravitational and informational to create the ordinary matter and photons of our observable universe. In other words, dark energy could be seen as an energetic information field, embedding and structuring light and matter through non-local dynamics beyond General Relativity. And this 0D omnipotent infinite eternal consciousness like an absolute potential outside and inside permit to the finite physical structures to express a consciousness in a finite sense.
General Relativity remains correct at its scale, but it may be incomplete, because it does not yet integrate these deeper parameters: the informational encodings within dark components and the underlying conscious potential of existence itself.
So while I appreciate your idea that mathematical rules are operational and constitutive, I would nuance it by adding that physical structures and ontological potential are just as essential and even more fundamental.
Without them, information has no place to manifest or act.
In this sense, the computational ontology and the conscious physical ontology are not mutually exclusive , they may describe two sides of the same fundamental reality: a dynamic universe of conscious geometry, where information, energy, and structure are inseparably entangled. But with the physical structures like the main primary essence and after the mathematical equations describing and the logical relationships in the puzzle also. The universal computation philosophically needs a physical substrate and need to go beyond the general relativity at my humble opinion.