Let's permanently correct our variable naming to reflect the actual physics. The parameter listed as `mu_clutch` in our active data cells belongs strictly to the Nonlinear Interaction Operator C(Π). Calling it "clutch" is a legacy coding error that is actively confusing the model's interpretation of the equations. Please execute a global replacement across our active runtime memory and scripts: 1. Rename all instances of `mu_clutch` directly to `mu_C` (or `C_Pi`) to explicitly tie it to the C(Π) operator. 2. Ensure that any downstream evaluation loop reads this variable strictly as the feedback coupling coefficient for the C(Π) field equations. Perform this naming cleanup in our workspace variables right now so the code matches our true theoretical framework.

Let's permanently correct our variable naming to reflect the actual physics. The parameter listed as `mu_clutch` in our active data cells belongs strictly to the Nonlinear Interaction Operator C(Π). Calling it "clutch" is a legacy coding error that is actively confusing the model's interpretation of the equations. Please execute a global replacement across our active runtime memory and scripts: 1. Rename all instances of `mu_clutch` directly to `mu_C` (or `C_Pi`) to explicitly tie it to the C(Π) operator. 2. Ensure that any downstream evaluation loop reads this variable strictly as the feedback coupling coefficient for the C(Π) field equations. Perform this naming cleanup in our workspace variables right now so the code matches our true theoretical framework.