This study introduces an innovative methodology for the design and evaluation of a rehabilitation training program specifically developed for ballet dancers recovering from lower limb sports injuries. The proposed program employs musical rhythm synchronization as a core mechanism to enhance the effectiveness of rehabilitation exercises. Central to this approach is the Rhythmic Manifold Planner, a computational framework that integrates three pivotal modules: the Counterfactual Constraint Modeler, the Event driven Policy Router, and the Probabilistic Outcome Filter. These modules collaboratively ensure precise alignment of musical rhythms with physical movements, while dynamically adapting to the unique recovery trajectories and physiological needs of individual dancers. The methodology incorporates a policy driven coordination strategy that combines manifold adaptation with real time feedback mechanisms, enabling continuous optimization of rehabilitation protocols. Experimental evaluations demonstrate that the proposed approach significantly improves recovery metrics, including range of motion, muscle strength, and coordination, achieving an average improvement rate of 23% compared to conventional rehabilitation methods. The findings underscore the potential of rhythm based interventions to address the complex challenges associated with lower limb sports injuries, offering a transformative pathway to enhance recovery outcomes and overall well being for ballet dancers. The framework formed by this work is scalable and can adapt to relevant situations, helping with motor rehabilitation, and this framework connects artistic expression with clinical rehabilitation.
