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Principled Limitations on Self-Representation for Generic Physical Systems.

Chris Fields1, James F Glazebrook2,3, Michael Levin1

  • 1Allen Discovery Center, Tufts University, Medford, MA 02155, USA.

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|March 28, 2024
PubMed
Summary
This summary is machine-generated.

This study challenges the feasibility of complete self-understanding in complex systems. Findings suggest that systems cannot fully represent themselves, limiting self-observation, self-representation, and self-control capabilities.

Keywords:
Gödel’s theoremMoore’s theoremRice’s theoremfree energy principlequantum reference frameseparability

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Area of Science:

  • Cognitive Science
  • Life Sciences
  • Robotics
  • Immunology

Background:

  • Self-observation, self-representation, and self-control are prevalent concepts across various scientific disciplines.
  • These ideas are fundamental to understanding system behavior and interaction.

Purpose of the Study:

  • To investigate the theoretical limits of self-observation, self-representation, and self-control in generic systems.
  • To determine the extent to which these self-referential concepts are practically achievable.

Main Methods:

  • Development of a generic model of physical interactions.
  • Mathematical proof of a theorem and corollaries to analyze system limitations.
  • Analysis of meta-level components and their representational capacities.

Main Results:

  • A theorem is proven that significantly restricts the scope of self-observation, self-representation, and self-control.
  • Adding meta-level capabilities does not enable a complete self-representation of the entire system.
  • Self models cannot generally be empirically tested by the systems implementing them.

Conclusions:

  • Complete self-representation within a system is theoretically impossible.
  • Self-representation should be considered heuristic rather than exact.
  • The empirical testing of self models by the system itself is generally not feasible.