The new theory is published in the journal Meccanica.
The first, hotly debated, documented reference to the Shroud of Turin dates back to the 14th century when a French knight was said to have had possession of the cloth in the city of Lirey.
Records suggest the Shroud changed hands many times until 1578, when it ended up in its current home, the Cathedral of Saint John the Baptist in Turin, Italy.
A research paper published in Thermochimica Acta suggests the shroud is between 1,300 and 3,000 years old.
The author dismisses 1988 carbon-14 dating tests which concluded that the linen sheet was a medieval fake.
The shroud, which bears the faint image of a blood-covered man, is believed by some to be Christ's burial cloth.