The Rolling-Circle Paradox as a Worked Example of Evaluation Scope in Reality Mechanics

The rolling-circle paradox produces two different rotation counts from one maintained rolling relation. Standard treatments correctly derive the surplus rotation through kinematics or holonomy. This paper offers a complementary structural clarification using Reality Mechanics (RM) v5.2, a minimal relational account of identity persistence. The central claim is simple: the paradox demonstrates that local carried continuity and traversal-closure informational readability are distinct evaluations of the same maintained relation. The rolling relation persists through maintained compatibility at the contact boundary. No local contact point contains the full informational state of the traversal. The surplus rotation becomes readable only when traversal itself resolves as a closed evaluative boundary. The rolling-circle paradox therefore provides a rare physical example in which maintained relation, carried difference, bearing, and downstream informational readability can be separated cleanly within one continuous system.