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He came to his conclusion after re-examining a theory from two amateur scientists that he had earlier dismissed as being from "the lunatic fringe".
Sue Benford and Joe Marina, from Ohio, suspected the 1988 sample was from a damaged section of the linen shroud repaired in the 16th century after being damaged in a fire.
The scientists base the idea on research into piezonuclear fission reactions which occur when brittle rock is crushed under enormous pressure.
Neutron radiation is usually generated by nuclear fusion or fission, and may be produced by nuclear reactors or particle accelerators.
One test indicated that a copious amount of human blood had saturated the fabric after oozing from the gruesome wounds on the head and torso of the body that the shroud had covered.
Radio carbon dating carried out in 1988 was performed on an area of the relic that was repaired in the 16th century, according to Ray Rogers, who helped lead the Shroud of Turin Research Project (STRP).
"I concluded that area of the shroud was manipulated by someone with great skill. The worst possible sample for carbon dating was taken.
"It consisted of different materials than were used in the shroud itself, so the age we produced was inaccurate." In the video, made shortly before he died of cancer in March 2005, he said: "I came very close to proving the shroud was used to bury the historic Jesus."This latest evidence, to be broadcast in The Turin Shroud: New Evidence at 8pm on Sunday on the Discovery Channel, is the latest chapter in the shroud's history.
He said: "The cotton fibres were fairly heavily coated with dye, suggesting they were changed to match the linen during a repair.
"We believe it is possible that neutron emissions by earthquakes could have induced the image formation on the Shroud's linen fibres, through thermal neutron capture on nitrogen nuclei, and could also have caused a wrong radiocarbon dating," said Professor Alberto Carpinteri, from the Politecnico di Torino.
The Shroud has attracted widespread interest ever since Secondo Pia took the first photograph of it in 1898 which showed details which could not be seen by the naked eye.
However, no plausible explanation has been offered for the source of the radiation.
Now Carpinteri’s team have hypothesized that high-frequency pressure waves generated in the Earth’s crust during earthquakes are the source of such neutron emissions.
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This flood of neutrons may have imprinted an X-ray-like image onto the linen burial cloth, say the researches.