Foundations of Ediverso Theory: A Mathematical Framework for Possibility, Choice, Memory and Coherence
Helder Fernando Passos Soares
Ediverso Theory: A Unified Theory of Possibility, Choice and Reality Ediverso Theory proposes a new mathematical and conceptual framework for describing how realities emerge from fields of admissible possibilities. While classical mathematics, logic and physics primarily study realised states, determined values and observed outcomes, Ediverso Theory introduces possibility itself as a fundamental object of formal investigation. The framework is built upon four primitive concepts: Possibility (E) — the field of admissible states; Choice (Ω) — the operator that transforms possibility into reality; Memory (H) — the accumulated history of realised states; Coherence (C) — the structure that constrains consistent evolution. From these primitives emerges a unified formal architecture spanning geometry, topology, information theory, observer theory, computational systems, physics, logic, mathematics, consciousness, evolution and collective dynamics. At the core of the theory lies the Ediverso operator: ╠╬╣ which represents a structured field of admissible possibilities rather than a single realised value. Classical mathematics appears as a limiting case when the possibility field collapses to a single point. The work develops: • A Geometry of Possibility• A Topology of Admissible Realities• An Information Theory of Choice• A Formal Theory of Observers• Computational Ediverso Systems for Artificial Intelligence• Possibility-Based Physical Models• Ediverso Logic and Mathematical Foundations• Theories of Consciousness, Evolution and Civilizational Dynamics• The Irreducibility Theorem of Ediverso Systems The central question motivating the entire research programme is: What exists before reality becomes reality? Rather than treating possibility as ignorance, uncertainty or incomplete information, Ediverso Theory investigates the hypothesis that possibility possesses its own independent mathematical structure and that reality emerges through admissible selection within that structure. This manuscript presents the first complete formulation of the Ediverso Research Program and is intended as an open scientific framework subject to mathematical analysis, criticism, refinement, extension and falsification. If successful, Ediverso Theory may provide a common language for describing decision, emergence, information, observation and reality across disciplines traditionally studied in isolation. Reality is not the beginning. Reality is the consequence. Possibility is the beginning. Keywords: Ediverso Theory, Possibility Mathematics, Choice Theory, Emergence, Information Theory, Observer Theory, Mathematical Foundations, Logic, Artificial Intelligence, Consciousness Studies, Complexity Science, Theoretical Physics, Philosophy of Mathematics, Foundations of Reality.
•Jun 18, 2026•0 citations