The mathematical model of a time machine

Before Einstein theorized that time is relative and flexible, mankind has wondered about the time travel. Heroes of science fiction make such transfers due to their superhuman abilities, but most use a device known as a "time machine".

Physicists from the US and Canada suggested the idea, which could be a real car for travel between the past and the future from a mathematical point of view.

"People think of time travel as something fantastic, and we are no exception. But it is mathematically possible," said one of the authors, a mathematician and physicist Ben Tippett from the University of British Columbia in Canada.

The division of space into three dimensions with time in the individual scientist calls wrong. Four dimensions, according to him, should be submitted at the same time when different directions are connected, as the space-time continuum. On the basis of Einstein's theory, curvature of space-time is the orbit of the planets. In "flat" space-time, planets and stars would move in a straight line.

The machine model uses the curvature of space-time in the Universe to bend time for passengers in a circle instead of straight. A kind of "bubble" or "box" space-time geometry carries all space and time along a closed circular path with a speed significantly exceeding the speed of light to get constant acceleration. Actually it moves "forward" then "backward in time".

In some respects this is reminiscent of the Alcubierre bubble and the hypothetical closed time-like curves (eng. closed timelike curve). So the idea looks schematically.

The passenger inside the bubble/time machine — External A. the observer B. the Arrow of time, which under normal conditions (at least for our Universe) is always pointing forward, turning past into present, represented by the black arrow.

And person A and person B will experience time differently, the researchers explain: "inside the bubble And will see that the events In periodically develop and then are reversed. Observer B will see two versions in the same place as some arrows will spin clockwise and the other in the opposite direction".

Although it is possible to describe this type of time travel with the use of a mathematical equation, Tippett doubt that anyone will ever build a fully operational machine. "While this is not possible, because we need materials that we call exotic matter to bend space-time in such an amazing way. But they can be opened in the future."

The time machine called the TARDIS (eng. Traversable Acausal Retrograde Domain in Spacetime), as in the British television series "Doctor Who". A study published in the journal Classical and Quantum Gravity.

Translated by «Yandex.Translator»