From the Vatican:
In this Easter Octave, the liturgy speaks to us of the appearances of the Risen Lord to the disciples. The Fathers of the Church give us many valuable insights into these stories, which help us to understand more profoundly the great truth of the Resurrection. When Peter and John go running to the tomb, each trying to arrive there first, they show us the one form of competition that is legitimate between believers: zeal in the search for Christ. The disciples on the road to Emmaus recognize the Lord because they see him at table with them. We recognize him, because we are granted an even more intimate encounter with him: we see him in our hearts. To Mary Magdalen, the Lord says: Do not touch me, because I have not yet ascended to the Father. This is surprising, since to Thomas, he actually says: "Put your finger here, place your hand in my side." But there is an important difference here. Mary Magdalen wanted to embrace the Lord as if nothing had happened, as if he had returned to the same life that he had lived before. No, he has passed through death to a new life, and the wounds of his Passion are the sign of that definitive victory over death.
I greet all the English-speaking visitors present at today’s Audience, including the groups from Britain and Ireland, Sweden, Australia and the United States. I extend a special welcome the newly ordained deacons and the Golden Jubilarians from Ireland. I pray that the Risen Lord will fill your hearts with joy and that he will inspire you to proclaim to the world the good news of the Lord’s Resurrection! Happy Easter to you all!