The Infinite Structure of Goodness: Cross-Domain Derivations from Ethical Intuition to Physical Limits — With a Comparative Analysis of Five AI Cognitive Modes

Key Points

• The research aims to explore the relationship between ethical intuition and physical limits of goodness through mathematical formalism.
• Derived 23 propositions from three axioms: temporal attributes of goodness, spatial attributes, and the Infinite-Quantity Law.
• Constructed a mathematical model to identify a physical upper limit of goodness.
• Developed a Goodness-Value index for civilizations with historical context.
• Conducted a comparative analysis of five AI cognitive modes to assess their role in understanding goodness.
• Identified a physical limit of goodness at the photon-sphere boundary (G_max ≈ 1.54 × 10¹¹³ J/m³).
• Established a civilisational Goodness-Value index ranging from 0 to 100.
• Demonstrated empirical evidence for the spatial attribute of goodness through AI mode comparisons.