Title: Non-Euclidean Topology & the Topology of Consciousness
Zenodo (CERN European Organization for Nuclear Research) August 31, 2026 DOI: 10.5281/zenodo.22195144 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Argues that consciousness possesses a fundamentally non-Euclidean topology, proposing a novel mathematical framework to analyze its structure and suggesting this reveals a deeper geometric order beyond Euclidean descriptions. |
Abstract
The standard understanding of topology, traditionally focused on geometric spaces and their properties, often neglects the crucial role of consciousness. This paper explores the potential for a fundamentally non-Euclidean topology of consciousness, arguing that the structure of subjective experience possesses a deeper, more complex geometric order than currently appreciated. We propose a novel mathematical framework to analyze this order, suggesting that consciousness's geometry is inherently non-Euclidean, revealing a fundamental layer of structure beyond the familiar Euclidean landscape. This research seeks to redefine our understanding of both topology and consciousness, pushing the boundaries of both disciplines through a radical shift in perspective.