The concept of "speeding up" the flow of time in a local sense, as a reverse of time dilation, is not supported by our current understanding of physics. Time dilation is a fundamental aspect of special relativity, and it arises due to the interplay between the speed of light and relative motion.
In special relativity, as an object approaches the speed of light relative to another object, time dilation occurs, and time appears to slow down from the perspective of the faster-moving object. However, there is no known mechanism or concept in physics that allows for a reverse effect, where time flows faster in a localized region.
It's important to note that time dilation is not a subjective experience; it is an objective physical phenomenon. The flow of time can appear different for observers in relative motion, but it is always consistent within their own reference frames. Time dilation is a consequence of the structure of spacetime and the constancy of the speed of light, and it is an integral part of our understanding of the universe.
While there are speculative ideas and concepts in theoretical physics, such as wormholes and time travel, that explore the manipulation of time in various ways, they currently remain in the realm of theoretical speculation and have not been confirmed or achieved experimentally.
In summary, based on our current knowledge, there is no known way to locally speed up the flow of time as a reverse of time dilation, as described by special relativity. Time dilation is a fundamental aspect of the theory and is well-supported by experimental evidence.