Mass Relationships in Extended Classical Mechanics (ECM) versus Classical Inertial Mass

Classical mechanics treats inertial mass as a single positive scalar quantity governing resistance to acceleration and gravitational interaction. Extended Classical Mechanics (ECM) reveals that this apparent simplicity conceals a composite mass structure arising from entropic energy manifestation processes. This work establishes a direct correspondence between classical inertial mass and ECM's Ordinary mass decomposition, showing that inertia emerges from the balance between positive manifested matter mass and negative apparent mass generated through potential energy release. The formulation provides a unified interpretation of inertial, gravitational, dark matter, and antigravitational phenomena within a single mass-energy manifestation framework.