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Title: Geometric Formalism for Artificial Consciousness

Jincheng Zhang

Zenodo (CERN European Organization for Nuclear Research) August 31, 2026 DOI: 10.5281/zenodo.22198793 (opens in new tab)

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AI-extracted from the abstract
Characteristics Theoretical or philosophical paper Qualitative Peer reviewed
Key points Proposes that a 'Qualitative Geometry' can represent properties of consciousness such as qualia, coherence, and emergence as geometric constructs, offering a mathematically precise tool for analyzing and potentially simulating conscious systems, and suggests through preliminary examples that this approach may be transformative.

Abstract

This paper proposes a novel geometric formalism for investigating and modeling artificial consciousness. Traditional approaches often rely on behavioral modeling, which lacks the fundamental grounding required for understanding subjective experience. We introduce the concept of a 'Qualitative Geometry,' a mathematical system designed to represent the essential properties of consciousness – such as qualia, coherence, and emergence – as geometric constructs. This framework provides a rigorous and mathematically precise tool for analyzing and potentially simulating conscious systems. The paper details the construction of this Geometry, explores its potential for modeling various levels of consciousness, and discusses the challenges and opportunities associated with its application. We demonstrate through preliminary examples that the Geometric Formalism offers a distinct and potentially transformative approach to understanding and replicating artificial consciousness.