How do I establish that the waking state is as illusory as the dreaming state, as per Advaita Vedanta?

In Advaita Vedanta, the waking state and the dreaming state are both considered to be illusory in the sense that they are not ultimately real from the perspective of absolute truth. The waking state is characterized by the perception of the external world, while the dreaming state involves the perception of an internal world created by the mind. Both states are considered to be part of the realm of maya, or illusion, according to Advaita Vedanta.

One way to establish the illusory nature of the waking state as per Advaita Vedanta is to examine the concept of "Brahman," the ultimate reality or absolute consciousness. According to Advaita Vedanta, Brahman is the only true reality, and everything else, including the waking state, is ultimately an illusion or a product of maya. By contemplating the nature of Brahman and the concept of maya, one can come to understand the illusory nature of the waking state.

Additionally, Advaita Vedanta emphasizes the idea that the true self, or "atman," is identical to Brahman, and that the individual's identification with the body and mind in the waking state is a result of ignorance. Through self-inquiry and introspection, one can come to recognize the illusory nature of the waking state by realizing the underlying unity of the self with Brahman.

It's important to note that the concept of the illusory nature of the waking state in Advaita Vedanta is a complex philosophical idea that is deeply rooted in the tradition's metaphysical and spiritual teachings. It often requires in-depth study, contemplation, and guidance from knowledgeable teachers to fully grasp and realize.