Mathematical Physics Cannot Explain Arrow of Time

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the missing science, the theory of everything, and the arrow of time

Mathematical Physics Cannot, in Principle, Explain the Arrow of Time One of the most important observations of the natural world is that there is an Arrow of Time (i.e. time has a direction). We can remember the past, but not the future. We can affect events in the future, but not in the past. However, the mathematical equations representing the physical laws of nature do not have an Arrow of Time. They are equally valid in forward or backward time. One of the great mysteries of science is why the mathematical laws of nature do not have an Arrow of Time.
The reason for the mystery is that mathematical physics uses mathematical time, not real time. In the process of transforming real time to mathematical time, the Arrow of Time is lost. Mathematical time breaks real time up into instants of time. Each instant of time represents a possible measurement of time. Whereas real time is moving, each instant of time is unmoving.
Since each instant of time is a time-symmetric point without a direction, so mathematical time is a collection of time-symmetric points without a direction. As such, whereas real time has a direction, mathematical time does not. Since mathematical physics uses mathematical time not real time, it cannot, in principle, explain the Arrow of Time.