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It is unknown exactly how fast we are moving. Current estimates are that the Milky Way is moving at about 550 km/s with respect to the cosmic background radiation (CMB), and the sun, due to its orbital velocity actually is only moving at about 370 km/s with respect to CMB. So, if the CMB is actually in the zero frame, then the lowest intrinsic excitation of the particles, and thus the fastest measured time (by atomic clocks) would be an object that is distant from all major gravitational sources (Earth, sun, Milky Way), and moving away from Earth, in the direction opposite of Leo.
Well, there's a problem there. We all die And we all 'know' that time, or at least its arrow doesn't allow 'time travels' except in one direction, into the future. If time and the arrow is a illusion its very consistent, and those rules hasn't been broken yet, as far as I know. I don't think it is a illusion myself, it definitely exist.