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Intelligence as high-dimensional coherence: The observable dimensionality bound and computational tractability.

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Summary
This summary is machine-generated.

Intelligence emerges from high-dimensional dynamics, where system constraints enable memory and computation. This framework explains the efficiency gap between biological and artificial intelligence.

Keywords:
AutonomyConstraint geometryHigh-dimensional coherenceInformational inertiaIntelligenceNonergodic dynamicsObservable dimensionality boundPhase spaceThermodynamics

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Area of Science:

  • Computational Neuroscience
  • Theoretical Biology
  • Systems Biology

Background:

  • Biological intelligence relies on complex, high-dimensional dynamics.
  • The 'curse of dimensionality' traditionally limits system analysis but is foundational for biological computation.
  • System dynamics encode memory, constraints, and structured information within nonergodic regions.

Purpose of the Study:

  • To formalize the relationship between high-dimensional dynamics and intelligence.
  • To propose an 'Observable Dimensionality Bound' protecting internal system complexity.
  • To explain the thermodynamic efficiency of biological intelligence.

Main Methods:

  • Theoretical framework development.
  • Analysis of high-dimensional systems and nonergodicity.
  • Formulation of the Observable Dimensionality Bound based on channel capacity and temporal resolution.

Main Results:

  • High-dimensional dynamics are essential for intelligence, providing memory and computational structure.
  • The Observable Dimensionality Bound explains how systems shield internal complexity.
  • Biological systems exhibit thermodynamic efficiency by concentrating irreversible commitments at behavioral boundaries.

Conclusions:

  • Intelligence is characterized by the capacity to maintain and defend coherent high-dimensional dynamics.
  • This framework offers a substrate-independent definition of intelligence.
  • The principles may apply to understanding consciousness and emergent codes in systems like the human cortex.