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The assumption that time does exist, which is physically distinct from spatial dimensions and exists independent of measuring properties of objects allows the prediction & explanation of a wide range of phenomenon that otherwise cannot be explained.
To exist is to occupy a region of space for a duration of time. Time by the reflexive property occupies all times, so if time is present in any spaces at all, then it exists. And time does exist in my room.
Depends on your definition of "time" and "exist", which are both untrivial (sic).
Unless explicated, the premise is meaningless.
Time has been proven to fluctuate near bodies with a great gravitational pull and at or near the speed of light.
the time is just perception where events occur with the transfer of energy from one to another. If something happens twice as fast, and your clock runs twice as fast, you won’t notice the difference.
The only way we can measure time is by measuring movement.