I2OS: Field-Theoretic Model of Question-Ignition Intelligence

Overview

This repository presents the I2OS (Infinity Intelligence Operating System) framework,
a field-theoretic model of intelligence based on semantic gradients and resonance.

Unlike conventional AI systems based on optimization and prediction,
I2OS models intelligence as a structure evolution process driven by question dynamics.

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Core Formulation

I = (∇M) ⊗ R

Structure evolves as:

∂S/∂t = Γ[Q] · R

where:

• M: semantic field
• ∇M: semantic gradient
• Q = |∇M|: question intensity
• Γ: ignition function
• R: resonance field

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Key Idea

Structure emerges only in regions where:

Q > θ

This defines intelligence as a threshold-driven structural phenomenon.

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Figures

Question Ignition

Structure Evolution

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Simulation

The simulation reproduces the figures presented in the paper.

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Paper

Download PDF

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Significance

This work introduces a shift:

Optimization → Structure Evolution

and proposes intelligence as a resonant structure generation system.

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Status

Initial theoretical model + minimal simulation

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Author

Masayuki Ando
I2OS Research (Independent)