Imagine I exist at time t1 and my mass is m. At time t2 I time travel back to t1. At time t1 there is now a net increase of mass/energy in the universe by m.
At time t3=t2−x where x<t2−t1, I travel back to t1 again. The net mass in the universe has now increased by 2×m.
Properly qualified, I can do this an arbitrary n number of times, increasing the mass in the universe by n×m. This extra mass, of course, can be converted to energy for a net increase in energy.
Does this argument show that traveling back in time violates the conservation of mass/energy?
Answer
Conservation of Energy is a consequence of Time-translational Symmetry of the system. If this symmetry is broken, there'd be no Conservation of Energy.
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