Here's a quote from the Introduction:
"'On Earth as in Heaven' is a prayer, not a statement. It claims our hope for this world and for ourselves: there will be a time when God's will or dream will be done not only in God's realm among the cherubim and seraphim but on Earth among principalities and powers as well.To pray does not mean to ask someone else to fulfill, instead of us, what we cannot bring forward. It means to cooperate with God, it asks that we may be empowered and commissioned. We may say God has a dream about us humans; in prayer we end letting God dream alone, we participate in God's dream, we join."