Infinitudes Numericamente Construídas

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Authors: Eugenio Evangelista Souza
Cited by: 0

Abstract

This work presents an original proposal for numerical construction based on "Numerical Genes" and digital concatenation systems that generate alternative mathematical objects, called Eugenios. The approach combines number theory, automatic sequences, symbolic systems, and unconventional representations, engaging with classical traditions such as Champernowne, Copeland–Erdős, Zeckendorf, Conway, and Turing. It also introduces formalizations for infinite numbers constructed by genetic rules, digital partitioning, structural adjustments, and extensions to complex numbers and symbolic four-dimensional spaces. This is a mathematical-symbolic essay that expands the boundaries between formal rigor, creativity, and personal expression.

Fields of Study & Subjects

Advanced Mathematical Theories Computability Logic AI Algorithms Analytic Number Theory Research

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
10 January 2026
Language
PT