Abstract

This article proposes a new approach to understanding the structure of the Universe through the identification of three-dimensional fractal patterns based on the golden ratio that emerge from the mathematical sequences of Fibonacci, Lucas and a new sequence called Carrasco. The research through the analysis of the digital roots of these sequences and their geometric representation suggests that the Universe can operate as a self-organised quantum information network, where each point of the network has information from the rest of the points and interacts by exchanging it bidirectionally, contributing to its evolution due to the arrangement of the information in space-time that is structured in golden ratio.

The fractal patterns discovered are organized in cyclic hexagonal structures following the golden ratio. This finding makes it possible to describe the Universe as a self-organising holographic system, capable of storing and transmitting information efficiently across different scales, from the quantum to the cosmological level. This approach unifies concepts from quantum physics, fractal geometry and cosmology, offering an alternative perspective to conventional cosmological theories.

These results could have significant implications for fundamental physics, biology and quantum technologies, providing a basis for the creation of new tools and applications in quantum computing, artificial intelligence and advanced materials. This study expands our understanding of the relationship between geometry, information and the structure of the Universe.