Objectivity as an Information-Theoretic Ratchet: A Framework for Embedded Observers

Key Points

• The research aims to model inter-subjective objectivity for embedded observers through information-theoretic principles.
• Developed recursive constraints and local projections for embedded observers.
• Used order parameter to measure recoverable information from cumulative evidence.
• Enumerated 256 elementary cellular automata to define observer-threshold law.
• Verified birthday collision bound across various complex system models.
• Applied algebraic decomposition to analyze orbit count.
• Demonstrated that the mean of the order parameter is non-decreasing as per the data-processing inequality.
• Identified a tripartite observer-threshold law from cellular automata enumeration.
• Confirmed the birthday collision bound across 2D Ising, Potts, and other systems.
• Achieved high accuracy in orbit count decomposition, verified to within 0.01 bits.