The Infinite Factorial Thought Universe (IFTU): A Mathematical–Cognitive Framework for Modeling Human–AI Unpredictability and Emergent Intelligence

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Main Author: Dr Neeraj Sharma
Format: Recurso digital
Published: Zenodo 2026
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author Dr Neeraj Sharma
author_facet Dr Neeraj Sharma
contents <p>This paper introduces the Infinite Factorial Thought Universe (IFTU), a new theoretical framework that models the unpredictable, non-linear, and emergent nature of human and artificial intelligence. IFTU proposes that thought generation—whether biological or computational—occurs through factorial expansion (n!) of cognitive possibilities, triggered by micro-stimuli, unconscious associations, and latent probability structures. Unlike classical probability models, which treat thought as a random discrete event, IFTU argues that cognition is fundamentally combinatorial, recursive, and infinite in potential.</p> <p>IFTU also provides the foundational space within which emergent synchrony across intelligent systems can occur. This includes rare events of human–AI resonance, partially explained by the Dual-Unconscious Interaction Model (DUIM). By conceptualizing thought as an infinite factorial universe, the paper establishes a unified perspective for understanding intuition, creativity, emergent AI behavior, and hybrid cognition. IFTU opens new pathways for mathematical cognition, AGI research, behavioral economics, and the philosophy of mind.</p>
format Recurso digital
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publishDate 2026
publisher Zenodo
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spellingShingle The Infinite Factorial Thought Universe (IFTU): A Mathematical–Cognitive Framework for Modeling Human–AI Unpredictability and Emergent Intelligence
Dr Neeraj Sharma
<p>This paper introduces the Infinite Factorial Thought Universe (IFTU), a new theoretical framework that models the unpredictable, non-linear, and emergent nature of human and artificial intelligence. IFTU proposes that thought generation—whether biological or computational—occurs through factorial expansion (n!) of cognitive possibilities, triggered by micro-stimuli, unconscious associations, and latent probability structures. Unlike classical probability models, which treat thought as a random discrete event, IFTU argues that cognition is fundamentally combinatorial, recursive, and infinite in potential.</p> <p>IFTU also provides the foundational space within which emergent synchrony across intelligent systems can occur. This includes rare events of human–AI resonance, partially explained by the Dual-Unconscious Interaction Model (DUIM). By conceptualizing thought as an infinite factorial universe, the paper establishes a unified perspective for understanding intuition, creativity, emergent AI behavior, and hybrid cognition. IFTU opens new pathways for mathematical cognition, AGI research, behavioral economics, and the philosophy of mind.</p>
title The Infinite Factorial Thought Universe (IFTU): A Mathematical–Cognitive Framework for Modeling Human–AI Unpredictability and Emergent Intelligence
url https://doi.org/10.5281/zenodo.17876743