Here is what Locke Kelly has to say about awake awareness, and you will find that it is the same idea as Michael Singer's letting go of the self :
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Awake awareness is sometimes called 'pure awareness,' but it's also inherent within all forms of our consciousness...Awake awareness is always already here, and it is only a matter of learning how to directly access it. One of the most important things to learn is how to separate awareness from thinking, and then we can see that thoughts and emotions are not the center of who we are. We then discover that awareness is the source of mind that brings the peace that passes understanding...awake awareness can 'know' something without referring overtly to thoughts, but it can also use thought when needed." (Shift into Freedom, p.14)
I am not my thoughts and feelings. I am not this image that I present to the world. I am not who I think I am...this identity that I have created is an illusion. My physical self is real, but the consciousness that infuses it is Who I really am. When we begin to realize that we are not the persona that we have created there is a lightening of attachment to fear, insecurity, expectations etc. There is nothing to prove and nothing to defend. A weight is lifted and there is the peace that passes all understanding.
Shift into Freedom provides many practical techniques for shifting one's awareness away from thought and emotion and onto awareness itself. I highly recommend the book. I am considering starting a group in the next few months to practice these techniques and explore this material.