Abstract:
This paper introduces the Recursive Universe (RU) framework, a candidate Theory of Everything founded on the postulate of Recursive Existence: that any physical entity is a self-contained, self-referential geometric structure. We formalize this principle by defining an entity’s state as a recursive infinite series on a manifold, giving rise to an inherently fractal nature. The dynamics of interaction are described by a geometric calculus; composition (unification, entanglement) is modeled as a path integral over the constituent state-space manifolds, while decomposition (decay, measurement) is modeled as the action of the exterior derivative. This framework is physically realized on an 11-dimensional Yıldırım Manifold, M(Y11), whose generative axioms intrinsically drive complexity. We demonstrate that this single geometrodynamic principle unifies General Relativity and Quantum Mechanics, resolving their core incompatibility. Furthermore, the framework offers natural, non-arbitrary solutions to the Standard Model’s primary limitations, including the hierarchy problem, the nature of dark matter and dark energy, and the matter-antimatter asymmetry. By providing a background-independent, falsifiable, and ontologically complete description of reality, the Recursive Universe presents a new paradigm for fundamental physics
Yıldırım, E. (2025). The Recursive Universe: A Geometrodynamic Framework for a Theory of Everything. Zenodo. https://doi.org/10.5281/zenodo.17063034
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