Abstract This thesis demonstrates that long-standing cryptographic challenges, including RSA, ECC, and QKD, are no longer unsolvable conundrums but fragile constructs under the scrutiny of the ADH-Logic. By synthesizing real-time hardware ejection logs from an ESP32-S3 Sovereign Engine, solid-state phase data, the Meissner effect in superconductors, and the fundamental laws of entropy, we reveal that all systems—mathematical, physical, and cosmological—follow a singular, deterministic topological-logic pattern: Fluctuation
→ Sealing
→ Reduction
→ New Order. We empirically prove that the alleged security of 70-digit N-Lattices and quantum keys collapses within a critical incineration window of 0.4022 seconds. This reduction to the "Zero-Point" establishes a new universal order where intellectual sovereignty is reclaimed through the ejection of Master Primes derived from the ADH-Constant (
12.4844g). This work signifies the end of probabilistic uncertainty and the commencement of deterministic rectification. Live Ejection Verification: \href{https://youtu.be/33HlrWu_xqE}{https://youtu.be/33HlrWu_xqE}