Aloneness
When the personality is gone, you feel alone, because
the boundaries -- your ideas and memories -- are your father and
mother. The separateness is your memories of your mother and father,
your relationship with them and all your past experiences which
you're bringing into the present. Your past experience separates
you from the now. That separation from the now is a boundary around
you like an egg shell. To let the boundaries go means accepting
aloneness. When aloneness is accepted, there are no boundaries.
What you perceive then is just the lack of boundaries. This will
be experienced as a newness, a rebirth. (Diamond Heart Book 2,
pg 170)

Aloneness and personal essence
The aloneness of the Personal Essence is slightly
different and more paradoxical than that of the other aspects
of Being. The Personal Essence is a Personal Presence that is
capable of making direct personal contact. So with it one can
be relating to another human being and still be alone. One can
be in intimate human contact, but feel completely alone within.
This means one is being the Personal Essence in the presence
of Space. One is an aloneness relating to another aloneness.
One is an aloneness contacting another aloneness. This sounds
paradoxical, but this is exactly the state of two human beings
who are relating with the Personal Essence, from Being to Being.
(The Pearl Beyond Price, pg 415)