Acharya Prashant explains the dual nature of Shri Krishna's presence as described in the Bhagavad Gita. He clarifies that Shri Krishna is always present as the source of existence and the center of the mind, much like the dimensionless center of a circle that remains untouched by the activities within the circle. This presence is abstract and immaterial, serving as the ultimate objective or pinnacle that the mind ceaselessly seeks due to its inherent feeling of incompleteness. The speaker defines 'Krishna' through the concept of 'Karshan' or traction, where movement toward sublimation is 'Utkarsh' and movement away is 'Apkarsh'.