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The Geometry of Awareness: Emergent Consciousness via Componental Probability Constraints

Efe Sarici

Zenodo (CERN European Organization for Nuclear Research) 2026 DOI: 10.5281/zenodo.18117870 (opens in new tab)

Study at a glance

AI-extracted from the abstract
Characteristics Theoretical or philosophical paper Peer reviewed
Key points Proposes that consciousness is not a fundamental substance but an emergent phase transition, occurring when a neural system's complexity is subject to a "Geometric Bias Constraint." Reports that numerical simulations show a sudden topological shift from "Passive Noise" to an "Awake State" once component interactions exceed a critical probability threshold, offered as a computable model for the origin of self-awareness.

Abstract

The ”Hard Problem” of consciousness—how subjective experience arises from physical processes—has long perplexed scientists. Traditional theories, ranging from Integrated InformationTheory (IIT) to Orchestrated Objective Reduction (Orch-OR), often lack a unifying mathematicalframework for the transition from inert matter to aware systems. In this paper, we propose a novelsolution based on Componental Probability Theory. We demonstrate that consciousness is not afundamental substance but an emergent phase transition that occurs when a neural system’s complexityis subjected to a specific ”Geometric Bias Constraint.” Our numerical simulations reveal thatwhen component interactions exceed a critical probability threshold, the system undergoes a suddentopological shift, moving from ”Passive Noise” to an ”Awake State.” This provides a computablemodel for the origin of self-awareness.