The dog ate the carbon-12.
and a large body of information shows that linen is inherently un-carbondatable
"I wasn't there, Your Honor, and if I was there, I didn't steal anything."
Physicist, you claim to be a scientist but you refuse to look at the data. The data shows that the area the samples were taken from was the one area the research team advised AGAINST using, and their protocols did NOT include, because of differences in the linen from the main body of the shroud however a NON-scientist, at literally the last moment, changed the protocol and had the sample removed from that area. Subsequent examination of both the photographs and of the remaining area on the shroud show that a large percentage of the threads in that area only were spun in a clockwise direction while the threads of the shroud itself were spun anti-clockwise... indicating a different source for the linen. The results from the three laboratories had a date distortion beyond what was expected merely from experimental error... and the distortion differential apparently MATCHES the percentage of anti-clockwise to clockwise threads in the samples provided to each lab.
As to the problem of dating linen, not even once has the carbon date of the linen that wrapped a mummy matched either the carbon date of the mummy itself or the carbon date of the sarcophagus that enclosed the mummy. The discrepency was often hundreds, and sometimes thousands, of years YOUNGER than the mummy and sarcophagus. The use of older linen could have been explained away logically, but apparently younger linen posed a real problem. This discrepency was so remarkable that Egyptologists theorized, against all other evidence and logic (and ignoring, of course, the extraordinary efforts the Pharoahs went to hide their tombs and prevent re-entry), that later generations of priests had, for some unknown religious reasons, disinterred the bodies and RE-WRAPPED them in new linen.
This is the data. Your ridiculing of the research and facts does you no service and adds nothing to the discussion.