David Mo
Philosopher
David, you either haven't read or haven't understood Riani's paper. Almost nothing of the above quote is accurate.
Maybe my English is very bad because I thought my points were elemental.
"... begins with a speculative hypothesis about the true nature of the object ..." No it didn't. It began with a statistical exercise based on the 12 dates obtained by the three labs.
"... the distribution of the fragments of the fabric ..." No. The distribution of the radiocarbon dates. Riani made no comment about whether the fabric was integral or not.
Riani et al. don’t know how the samples were actually cut in subsamples. Figs. 1 to 4 imply a hypothetical reconstruction of the emplacement of the subsamples. For example, if Arizona had used parts from the two pieces the hypothesis would have fallen. If the mathematical hypothesis of Riani et al. had not been appropiated to a spatial translation it would have been useless for any purpose in the present debate. You make your own spatial hypothesis about an unknown contaminant agent on the basis of the spatial hypothesis of Riani et al.
"... emphatically conclude ..." No. Their actual conclusion was "Our results indicate that, for whatever reasons, the structure of the TS is more complicated than that of the three fabrics with which it was compared." That is not an emphatic conclusion, but a cautiously worded attempt to avoid explaining how the gradient calculated was caused.
"... doesn’t prove that the fabric is medieval ..." The authors do not suggest or even imply that anywhere in their paper.
" ... It is a mystery to me how Riani et al. conclude that the “contamination” of the Shroud can be greater than 1300 years ... " It would be a mystery to me, too, if they had concluded any such thing. But they don't. They make no comment at all about the date of the shroud. I don't know how you could possibly have understood that they had. The word 'contamination' or any similar word does not occur in their paper. The word 'patch' does, though, in this sentence: "There is also no evidence of any patching in this part of the TS which might cause a jump in dating."
I think we are speaking of two different articles:
“Thus the TS becomes slightly more recent as we move away from the corner leading to suppose that a greater contamination could be found in the centre of the cloth”. (14)
“Here, where contamination is more likely at the edges of the material, the experimental region could be shrunk away from the edges”.(16)
“The intervals might also be chosen to exclude corners of the material, if it is thought that contamination of these regions is more likely”. (17)
“Thus the TS becomes slightly more recent as we move away from the corner leading to suppose that a greater contamination could be found in the centre of the cloth”. (14)
Due to the heterogeneity of the data and the evidence of a strong linear trend the twelve measurements of the age of the TS cannot be considered as repeated measurements of a single unknown quantity. The statement of Damon, Donahue, Gore, and eighteen others (1989) that “The results provide conclusive evidence that the linen of the Shroud of Turin is mediaeval” needs to be reconsidered in the light of the evidence produced by our use of robust statistical techniques. (Marco Riani, Anthony C. Atkinson, Giulio Fanti, Fabio Crosilla, “Carbon Dating of the Shroud of Turin: Partially Labelled Regressors and the Design of Experiments”,7. Conclusions).
"... Remember: the aim of the dating was to determine if the Shroud is authentic ..." Nonsense. The aim of the dating was to discover the date of manufacture. If it had proved ancient, then some discussion about authenticity would no doubt have ensued.
If the purpose of the radiocarbon dating had not been an evaluation of the authenticity we would not be here now. Don’t be so naive, please.
You cannot base a criticism of my hypotheses on such a complete misunderstanding of what I was trying to explain. Nor does an arbitrary dismissal of any theory as "too imaginative" rest on reason. Neither the radiation hypothesis nor the bioplastic film hypothesis were particularly imaginative. They were presented as possibilities, open to investigation, investigated, and found wanting, but that does not make them over-imaginative. Imagination is at the heart of scientific progression and long may it continue, as long as the ideas put forward are open to rational investigation. I draw the line at aliens...
“Imaginary” is better?
The fact is that there is a rate of dispersion that it is unlikely due to chance. Riani et al. have demonstrated the mathematical possibility of a lack of homogeneity of the samples.
But a mathematical possibility is not a physical possibility. The mathematical variables ought to be translated to physical concepts to become a physical hypothesis. V=s/t means nothing if we cannot translate s and t in terms of measurable space and time.
In the theory of Riani et al. “lack of homogeneity” is an abstract concept without correlate to any physical concept. So this theory is only a mathematical one and cannot be presented as an alternative to solve a physical problem (if any it is) related to the radiocarbon dating.
I doubt that your mysterious contaminant be more substantial than other imaginary hypothesis. Good luck, in any case.