This release comprises the document - Seven Keys.pdf - presenting a rigorous mathematical framework linking seven fundamental dimensionless constants across electromagnetic, weak, gravitational, and lepton mass sectors to the Paradox Engine (PE) formalism. The framework derives universal structural patterns and a normalization constant from first principles, producing precise correspondences with experimental measurements without parameter fitting. The document provides a technical derivation of functional forms, establishing bottom-up, directional correspondence between the PE framework and fundamental constants. This work exemplifies the extension of PE principles from abstract attractor structures to physical constants, offering a pathway to investigate deep organizational patterns underlying disparate sectors of physics. It is a derivative of the Paradox Engine Mathematical Core: Core Paradox Engine (PE) Foundations. The release serves as a foundation for further exploration of potential interrelationships among constants, unification constraints, and applications of PE-derived structural principles across domains, while maintaining mathematical transparency, scale invariance, and sector-specific organization.