Ideas / I

Cosmology & Physics

The search for structure, for the hidden architectures beneath experience, has followed me since childhood. Long before I understood equations, I sensed that memory, rhythm, intuition, fear, and beauty were all part of a larger system, connected by patterns we rarely stop to observe.

Years later, that intuition evolved into a formal exploration of cosmology, physics, and mathematical modeling. These writings and models are not the product of an academic institution, but of a lifelong fascination with how complexity organizes itself: how systems oscillate, stabilize, drift, collapse, or return to equilibrium. Music, networks, human behavior, and the universe itself seem to share a common grammar, one made of cycles, limits, noise, and the persistence of memory.

This section brings together the core of that exploration: conceptual frameworks, speculative physics, and mathematical structures such as the Finite Memory Law, stochastic cosmology models, and other attempts to describe how information, entropy, and perception shape the world we inhabit.

Some texts are technical, others reflective. Together, they form a single path: the search for meaning in the patterns of the universe, and in the fragile traces that consciousness leaves behind.

This section presents the essential ideas behind my independent research in Finite-Memory Stochastic Cosmology, including all materials up to Version 3.2.

The core model explores small, log-oscillatory deviations in dark energy produced by a finite-memory stochastic process. It is an effective, testable alternative to ΛCDM, accompanied by a reproducible validation protocol based on Pantheon+ supernova data.

Additionally, the archive includes the Finite Memory Law (FML), an intuitive, speculative extension of a stability parameter that emerged from the model. It is not a universal law, but a conceptual exploration preserved here for transparency.

This page functions as the historical record of the research's evolution up to v3.2, before external evaluation.

The Resilience Windows (RW)

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.

Stochastic Cosmology

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.

Version dated November 23, 2025

You can also explore my repositories on GitHub.