The Unified Principle of Misalignment and KAD Theory: A Cross-Domain Framework for Alignment, Perception, and Systemic Failure

The monograph develops a rigorous mathematical scaffold for alignment, misalignment dynamics, drift processes, attention decay, and domain-dependent visibility. Itintroduces the Dual Failure Law, proving that all failures reduce to two fundamentalvectors: Domain Drift and Focus Loss. Extensive simulations illustrate misalignmenttrajectories under stochastic drift, adaptation constraints, and perceptual decay. Crossdomain case studies demonstrate the universality and predictive power of the framework. The combined UPM+KAD calculus provides a generalizable, mathematicallygrounded approach for designing resilient systems, forecasting failures, and engineering adaptive alignment mechanisms.. at 10.5281/zenodo.18684749