They believe an experiment nuclear scientists plan to carry out in underground tunnels in Geneva in May could create a rift in the fabric of the universe.
The European Organisation for Nuclear Research (CERN) hopes its "atom-smashing" tests - which aim to recreate the conditions in the first billionth of a second after the "Big Bang'" created everything - will shed invaluable light on the origins of the universe.
But Irina Aref'eva and Igor Volovich, of Moscow's Steklov Mathematical Institute, say the energy produced by forcing tiny particles to collide at close to the speed of light could open the door to visitors from the future.
According to Einstein's general theory of relativity, any large amounts of matter or energy will distort the space and time that surrounds it.
If the energy or mass is large enough, it is claimed that time can be distorted so much that it folds back on itself - creating a wormhole, or time tunnel, between the present and the future.
But Dr Brian Cox, a member of CERN and one of Britain's leading experts in particle physics, is highly sceptical about the Russian claims, calling them "nothing more than a good science fiction story".