Cosmology & Physics

The Resilience Windows proposes that every stable system, whether physical, biological, cognitive or social, emerges from the interplay between memory and oscillation. When the product of these forces remains within a narrow range, equilibrium is possible. When memory fades too quickly or oscillation becomes too intense, systems drift into instability.

This model began as a conceptual bridge between physics, networks and human experience, and later evolved into a mathematical framework.

This work explores the universe as a system governed not only by deterministic laws, but by stochastic behavior embedded in its fabric. Instead of viewing noise as an error, the model treats randomness as a structural feature of cosmology, shaping trajectories, equilibria and the long-term evolution of the universe.

The full paper and its appendix present the foundations of this approach in Spanish.

A Log-Oscillatory Dark Energy Model with Geometric Noise Cutoff

The imbalance between matter and antimatter is one of the deepest open problems in contemporary physics. Everything we observe, every star, every atom, every living structure, exists because at some point in the early universe a tiny excess of matter survived the mutual annihilation with its antimatter counterpart. Why that excess occurred, and why it has the precise magnitude we measure, remains without a definitive answer.

This appendix does not propose new physics. Instead, it approaches the problem from what we already have at hand: the mathematics of systems with finite memory. Starting from first principles of functional analysis, it derives the exact transfer function that describes the residual asymmetry in a system with an exponential memory kernel, a bounded asymmetric forcing, and a finite temporal window imposed by a cosmological decoupling process. The central result is that Sakharov's third condition (departure from thermal equilibrium, necessary for generating baryonic asymmetry) admits a natural formulation as an inequality on the dimensionless parameter R = tau * Omega, and that the resilience valley [0.5, 3.5] observed independently in the stochastic cosmology corpus coincides with the regime where the coherent integration of the asymmetric source reaches its maximum.

The structural connection with Kadanoff-Baym equations for quantum leptogenesis is discussed in detail, suggesting that the finite memory framework captures, in an adimensional and universal form, the same physics that non-equilibrium QFT makes explicit through retarded propagator hierarchies. The paper closes with three open questions that invite verification, refutation, or extension under the best practices of scientific inquiry. As with all previous works in this corpus, I welcome rigorous discussion.