The Entropy of Power: A Topological Analysis of Structural Hypocrisy and Weaponized Interdependence

The post-2020 international order faces a terminal "Epistemic Crisis": the divergence between legal premises (Σ) and Great Power behavior (C) has exceeded the threshold of logical coherence. Applying Shannon’s Information Theory and Farrell & Newman’s "Weaponized Interdependence," this paper argues that modern sovereignty is no longer defined by Westphalian borders but by Network Centrality. We analyze three distinct fracture points: (1) The "Extraterritorial Lawfare" paradox, (2) The "Zombie Sovereignty" collapse in Afghanistan, and (3) The "Isomorphism Failure" in the South China Sea. We introduce the "Sovereignty Trilemma," demonstrating that the refusal of commercial states to militarize is not a theoretical anomaly but a predictable outcome of the impossible trinity between Efficiency, Comfort, and Security. Under existential stress, any claim lacking a high-entropy Stockpile Integral is mathematically equivalent to noise (H(p) → 0).