Transactional acceleration is not a widely recognized term, leading to confusion with translational acceleration, which refers to the change in position of an object. The discussion highlights that a falling object experiences translational acceleration, while a spinning object does not. There is a mention of hardware acceleration in the context of transactional memory, but this may not relate directly to the original question. The concept of equilibrium in a rigid body is also referenced, suggesting that it should involve translational rather than transactional acceleration. The conversation indicates a need for clarification on the terminology used in physics.