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This text presents a physical model in which the universe is not made of matter, nor of space, nor of time, but of conscious entities that interact with each other. We will call these entities, for convenience, observers.

The goal of this work is to show that, starting solely from a set of observers and the fact that they interact with each other freely, one can rigorously and naturally derive:

A notion of time, emerging from the causal sequence of actions and abstracted as a particle moving in a random walk, which we will call light;

A notion of distance between observers, understood as the time it takes for light to travel from one to the other—the resistance distance—which will allow us to define a geometric space with a negative-type metric;

A n auxiliary Euclidean structure, derived from the spectrum of the Laplacian operator, allowing us to represent these observers in a Hilbert space with positive metric;

A conceptual connection to relativity, by identifying the constancy of the speed of light as a fundamental principle of the system;

A structural connection to quantum mechanics, by mod eling the evolution of the system as a linear (reversible or irreversible) transformation, and interpreting the observers as f ields into a Hilbert space;

A study of existential stability, which will lead us to the conclusion that the universe can have at most 3 spatial dimensions;

A connection to quantum gravity, by defining mass as an emergent property of the interaction that slows down the speed of light