Unlike one of the authors above, I have studied and written on the subject of medieval Christian relics. The church has its own well-established criteria and procedures for authenticating them. It is not hostile to the science, but that is not the primary consideration. It is interesting to me that noone here offers any of the evidence of miracles and intercession which are the real basis for preserving and venerating relics.
One reason might be that the core vein of discussion seems to orbit around this notion of finding scientific evidence of Jesus' life.
If this Shroud is an image of Jesus, it would be a fascinating thing, and I think it is.
But for the record, I believe the Churches record on many miracles like Fatima and Lourdes. I just dont see how it is applicable to this discussion.
What did you have in mind that would?