The Equivalence Principle Rigidity Theorem

Key Points

• The theorem aims to show that universal gravitational coupling arises from closure rather than being an independent principle.
• Proves theoretical implications of the equivalence principle
• Analyzes the role of selective and composition-dependent coupling
• Explores effects on closure and admissibility
• Demonstrates that certain couplings introduce forbidden structures
• Confirms that these couplings violate sectorwise admissibility
• Establishes results as independent from geodesic motion or test-body discussions