How about this as a potential cause:
The shroud originally was woven with a 1st-century weaving style in the first century, and was wrapped round a body but when the resurrection occurred, (in the first century) there was a massive surge of neutrons that only affected the carbon isotopes and not any others, so that the 14C level was elevated, and this has made it seem 1300-years newer than it was. For some reason, no other isotopes were affected. At the same time, another side effect altered the weaving style of the shroud to make it seem 1300-years newer than it was. In addition, the event behaved differently for the head compared to the body, giving it a shape that is not consistent with a real human.
It is just coincidence that this shroud turned up about 1300-years later than when it was used to wrap the body. It is also coincidence that some medieval people thought it was a fake and named the suspect at the time.
The image on the shroud took over a century to form, which is why it is not mentioned in the gospels, but it was still kept as a sacred object, which was proved when the image appearedin a medieval forger's workshop.
I think that deals with most objections. Or have I missed any?
I had missed that people have replicated the image using 12th Century techniques.
When I was a kid I read about "the mystery of the shroud" but didn't look into it. Now that I have, the only mystery is why anyone thinks there is any question about its origin.