According to our current understanding of physics, reversing the arrow of time is not possible. The concept of time's arrow is deeply rooted in the second law of thermodynamics, which states that the entropy of a closed system tends to increase over time.
Entropy is a measure of the system's disorder or randomness. The arrow of time is associated with the observation that natural processes, such as the diffusion of gas or the mixing of liquids, tend to move from states of lower entropy (more ordered) to states of higher entropy (more disordered). This directional behavior is what gives time a sense of "flow" in our everyday experience.
To reverse the arrow of time, one would need to reduce the entropy of a closed system, which goes against the natural tendency described by the second law of thermodynamics. This would require a substantial decrease in entropy, which is not currently understood to be possible without violating the fundamental principles of physics.
Therefore, we cannot quantify the amount of energy required to reverse the arrow of time since it falls outside the bounds of our current scientific knowledge and technological capabilities.