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If you want science fiction, I'm envisioning a machine that rotates the person to be time traveled around a bundle of cosmic strings at close to the speed of light. At the proper point in the time-like curve, the machine inflicts some sort of normally fatal injury on the passenger to achieve quantum immortality, placing them in just the right point in time to continue as planned. Without the quantum suicide, the machine would balance centrifugal force against the quantum gravity of the cosmic strings to infinitely prolong the passage of time within the machine and let it pass at an arbitrarily fast rate outside, slowing as the desired future point in the time loop approaches.
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