Indian officials have presented the argument in court to support construction plans for an area devotees believe has remnants of a bridge built by the Hindu god Ram.
Minister Ambika Soni said she would quit if asked to by the prime minister. She also confirmed that two directors of the Archaeological Survey of India, which prepared the court affidavit, had been suspended.
Hindu devotees believe the area between India and Sri Lanka - now known as Adam's Bridge - was built millions of years ago by Lord Ram, supported by an army of monkeys. But scientists and archaeologists say Adam's Bridge, or Ram Setu, is a natural formation of sand and stones.
On Wednesday the Archaeological Survey of India told the Supreme Court that the religious texts were not evidence that Lord Ram ever existed. Hardline Hindu opponents of the government accused the administration of blasphemy and protesters carried out demonstrations in the area and in Delhi, Bhopal, and on a number of key highways.