Cardinality-cosmology Duality: a Rigorous Mathematical Framework for Isomorphic Mapping Between Infinite Number Set Hierarchies and Universal Topological Structures
Year: 2025
Type: article
Abstract: This thesis establishes a revolutionary theoretical framework demonstrating rigorous isomorphic correspondences between the hierarchical structure of infinite number sets and the topological architecture of the observable universe. We introduce the Cardinality-Cosmology Duality Principle (CCDP), which posits that the nested infinities of mathematical number systems—specifically ℕ (natural numbers), ℤ (integers), ℚ (rational numbers), ℝ (real numbers), and ℂ (complex numbers)—exhibit structural homomorphisms with successive scales of cosmic organization, from quantum foam to multiverse configurations.
Author: SÉRGIO DE ANDRADE, PAULO
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7117166328
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