Chaotic Transitions and the Origin of Spacetime: An Analysis Based on the Lorenz Model

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Abstract

This work explores a novel perspective on the origin of spacetime by modeling it as a product of chaotic transitions rather than a singular beginning. Using the Lorenz system as a framework, we investigate how deterministic chaos may serve as a precursor to the emergence of temporal and spatial structure. By analyzing the sensitivity to initial conditions, the bifurcation behavior, and the topological instability of the Lorenz attractor, we demonstrate how a dynamic, nonlinear system can evolve from an undefined initial state into a regime where patterns and causal order arise. We propose that what is often described as a singularity may instead represent a dense, hot physical state governed by non-geometric, entropic-chaotic fluctuations. This interpretation suggests that spacetime is not a fundamental entity, but rather an emergent phenomenon born out of instabilities in pre-geometric configurations. Our findings support alternative cosmological scenarios that challenge the necessity of a geometrically-defined singular point at the origin, favoring instead a dynamic phase transition as the true genesis of the observable universe.

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