Monty Hall Resolved: The True Structure Behind the Perceived Paradox

The Monty Hall problem has long been described as a probability paradox. This paper shows that the paradox never truly existed. It was an artifact of a misaligned model. The system contains two independent informational frames, local and global, that were historically conflated. When those frames are formally separated and properly nested, the supposed contradiction vanishes. Switching wins in two-thirds of all plays (global law), yet winning by switching during any single play remains a fifty-fifty event for the participant (local law). This nested coherence, the Vierra Reconciliation Principle, demonstrates that the paradox was only perceived. Correcting the structural error exposes the real architecture of the game and establishes a general method for resolving frame-conflict illusions across logic, physics, and information theory.