I've watched a few episodes of Sidroth And The Supernatural where people have experienced instantaneous manifestations. Such as losing a lot of weight instantaneously. One guy reported on how he lost weight instantaneously during a church service. He had to hold his pants up to keep them from falling off of him when he stood up. One person had their hair grow back and the people sitting behind them witnessed it growing right before their eyes.
In the book "They told me their stories", you hear about miraculous healing that took place at Azusa Street Revival. Some of these manifestations were also instantaneous, such as blind people being able to see, or crippled people being able to walk. Tumors falling off of people, or limbs growing back.
So what is it about a church type atmosphere that can bring about instantaneous manifestations?
this video by Marianne Williamson is incredible:
Not to be blasphemous (I'm sorry if I'm offending anyone), but it's probably that the person in question probably starts feeling like God. They no longer feel bounded by the 'laws' or rules of the universe or their own mind -- and they feel like the omnipresent being they are and that is everything, everyone, and every possibility. Both prayer and meditation can help you gain that perspective.
You could say that they transcend human limitations and energy forms, and allow the Divine energy and healings in.
You could also say that it’s the power of a mass spiritual activity which brings things in faster.