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Well then, I'm sure that addresses my objection. But a couple of minutes' googling isn't giving me a good sense of what time-shift symmetry is -- and my physics background is lousy. Could you give me a quick definition?
The laws of physics are invariant in time.
Edit: Clarification - if you write the laws of physics, nowhere do you invoke the absolute time; only changes in time. The outcome of any experiment cannot change just because the time coordinate changes; it can only change because other parameters in the situation change.