The peace of God
No doubt there are some people, who ‘enjoy’ the present administration of the ‘Peace,’ where often people greet each other as they move around the assembly, [who] do not like to see the ‘Peace’ made into a one-way movement (from the Trinity to the baptized believer). For them it is a horizontal and demonstrative sharing of what God has previously through the celebrant given to be shared. The truth of the matter seems to be that the traditional Anglican service of the classic BCP is very much dominated by what may be called the heaven to earth dimension, while the modern Anglican services are more dominated by the sense of community and sharing in the presence of the immanent God.
– Dr Peter Toon, 2008