Being is a verb, an action, an event ―not an entity or a multiplicity of entities. For there to be an ‘eternal self’, it would have to be substantial, permanent, and independent of causes and conditions. No individual self meets those criteria.
“All that is” is interpenetrated and interconnected. There is no separation. There is only BEING ―not ‘a being’, not ‘many beings’, but being: the act of existing. That being-ness has qualities, and among them is reflexive awareness: we know we are.
Separation is the primary fundamental wrong view. Any view of self necessarily implies a view of other, and as soon as there is that dichotomy (self and other), the secondary fundamental wrong view comes into play: supremacy, the idea that my needs and projects are more important than the needs and projects of others.
This is not easy to say and understand, because language is a human construct, and is the product of, and subject to wrong view. Perhaps an example will help: A drop of water is just water ―it has no existence other than as water. ‘Drop’ is a term that denotes quantity, not substance. There is True Being, but it is not ‘a self’, nor are there ‘many selves’.
Sentient beings are, but not as separate, discrete selves. We are actually much more than those puny little selves that we impute upon the aggregates of form, feeling, perception, volition, and consciousness. The view of a separate, small, discrete self is a negation of our true nature, a reductionist view of being, and a minimization of our potential.