Exploring the possibility that physical reality emerges from the statistical organization of informational structures.
Can information be the foundation of physical reality?
How does geometry emerge from informational structure?
Can the history of the universe be understood as a path through possible geometries?
The questions above arise from a broader concern about the foundations of fundamental physics. Modern theoretical frameworks, and string theory in particular, provide extraordinarily rich mathematical structures capable of describing a vast range of possible physical worlds. Yet the central challenge remains: what principle singles out the world we actually observe?
Much of contemporary research approaches this problem from an a posteriori perspective. Starting from an existing theoretical framework, we search for configurations capable of reproducing known physical phenomena and then ask whether they are viable descriptions of nature. While this strategy has led to remarkable insights, it leaves open a deeper question: why should the fundamental laws and structures of the universe be the way they are in the first place?
This project explores the possibility that progress may require reversing the direction of inquiry. Rather than beginning with candidate descriptions and selecting those that appear to work, it asks whether more fundamental principles can explain why certain structures, geometries, and physical laws emerge at all. By addressing the question of why these possibilities rather than others, we may gain a clearer understanding of what a satisfactory description of nature should ultimately look like.
The starting point is the idea that information may be more fundamental than geometry. Information is represented by binary codes, which are interpreted as binary assignments of elementary units of energy to cells of a discrete space. Each assignment defines a discrete geometric configuration, establishing a direct correspondence between informational structures and geometries.
Instead of fixing the dimensionality of space from the outset, the construction considers the space of all possible configurations obtained by distributing a fixed amount of energy $ \mathcal{E} $ across discrete spaces of arbitrary dimension. A geometry is therefore characterized not only by its shape but also by the number of distinct configurations that realize it. In this sense, probability is closely related to entropy and symmetry: highly symmetric geometries occupy larger regions of the space of possibilities.
The universe at energy $ \mathcal{E} $, denoted $ \mathcal{U}(\mathcal{E}) $, is defined as the collection of all geometries compatible with that energy. A notion of history emerges by identifying the total energy with a time parameter $ \mathcal{T} $. As the available energy increases, the space of possible configurations grows, generating a natural ordering that can be interpreted as the evolution of the universe.
The resulting description can be expressed through entropy-weighted sums over all admissible geometries:
where $ \psi $ denotes a geometry at cosmic age $ \mathcal{T} $, and $ S(\psi) $ measures its entropy.
Towards a common entropic framework for quantum mechanics and gravity.
Emergence of masses, couplings, and effective quantum field theories.
Experimental tests through neutrino masses and oscillations.
Geometric aspects of quantum delocalization in condensed matter.
Readers interested in the conceptual foundations of the project may wish to start with the foundational monograph, which presents the framework in its most complete and systematic form. The Reading Guide section provides an overview of the main research directions and current developments.