A dimension can exist that is neither temporal nor spatial, as evidenced by concepts like "state space," which encompasses various characteristics such as speed and temperature. The dimensions in this context are defined by the minimum independent coordinates required to specify a point in that space. This allows for the inclusion of non-traditional dimensions, such as reaction or acceleration, which reflect interactions between entities. The discussion emphasizes that movement and reactions extend beyond just time and space. Thus, the exploration of dimensions can include a broader range of characteristics.