Does time exist, or has quantum theory disproved its existence? 

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According to Hermann Minkowski, Albert Einstein’s mathematics teacher, space and time make up the same reality. In this regard, he also stated that independently, both space and time would fade into obscurity. This led to the idea that reality exists in both space and time together, with space providing the three dimensions of height, width and depth while time contributes the fourth dimension. Thus, time cannot exist independently but exists as the Space-time continuum.

Experiments have been performed to further explain this theory and to confirm the non-existence of time or, at least, disapprove how we currently understand it. The double slit experiment showed an individual bit of matter such as a photon passing through both slots at the same time, passing individually through both slits and not passing in any of the slots, exhibiting an “interference pattern.” A similar experiment based on the double slit experiment and known as the delayed choice experiment further disapproved the existence of time as we know it. It confirmed that the definition of time affects the movement of bits of matter from one place to the other.

For instance, an electron shot towards a larger rounded piece of matter would move through two different paths (left or right/ up or down) at the same time. This phenomenon is thus determined by the observer who would make a choice of which path the electron followed based on the definition and interpretation of time. However, the electron moved similarly to the double slit experiment.

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I think the answer has to be yes.  Time is one of those quantities that exists in various concepts, form clocks that keep the time of the day to the amount of time it takes the earth to orbit the sun.  There are plenty of references to time, such as "taking time to smell the roses."  The passage of time is how we measure age in it's various respects.  The Bible has a familiar passage that talks about "a time to sow and a time to reap, a time to laugh and a time to weep."  Time may be talked about as chapters in a book, such as "the good old times."

Einstein was able to explain time as a manageable concept in his special and general theories of relativity.  Motion and gravity influence the passage of time, to a point it could be slowed significantly, perhaps to a zero point.  Einstein's idea was to move at the speed of light, which would slow the passage of time as we know it to nothing.  If we could move faster than the speed of light, we could reverse the passage of time.  Quantum physics currently has lots of interesting theories, but the efforts to obtain empirical data to prove or disprove the existence of time have been limited.

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