The consequences of having no inertial terms at low Reynolds number are:
* One consequence means that the swimmer experiences virtually no net force or torque. 
* A second consequence tells us that the velocity is linearly proportional to the force (same can be said about angular velocity and torque).
* The Stokes equations become are linear and independent of time.
In particular, for a swimmer moving in the low Reynolds number regime, its motion satisfies:
* Independent of time: The same motion may be sped up or slowed down, and it would still satisfy the Stokes equations. More geometrically, this means that the motion of a swimmer in the low Reynolds number regime is purely determined by the shape of its trajectory in configuration space.
* Kinematic reversibility: The same motion may be reversed. Any instantaneous reversal of the forces acting on the body will not change the nature of the fluid flow around it, simply the direction of the flow. These forces are responsible for producing motion. When a body has only one degree of freedom, reversal of forces will cause the body to deform in a reciprocal fashion. For instance, a scallop opening its hinge will simply close it to try to achieve propulsion. Since the reversal of forces does not change the nature of the flow, the body will move in the reverse direction in the exact same manner, leading to no net displacement. This is how we arrive at the consequences of the scallop theorem.