No, the expansion of the universe does not imply that time is flowing backward. The expansion of the universe refers to the observation that, on average, galaxies are moving away from each other over vast distances. This observation is based on the redshift of light from distant galaxies, which indicates that the space between galaxies is stretching.
However, the expansion of the universe is not a result of time flowing backward. Instead, it is a consequence of the properties of space itself. The expansion of the universe is described by the theory of general relativity, which accounts for the large-scale structure and dynamics of the cosmos. According to this theory, the expansion is driven by the distribution of matter and energy in the universe.
In general relativity, time is a dimension that flows forward in a consistent manner. The expansion of the universe affects the spatial dimensions but does not reverse the direction of time. Time continues to move forward from the past to the present and into the future, as we commonly perceive it.
It's important to note that the concept of time can become more nuanced and complex in extreme scenarios, such as near black holes or in the early moments after the Big Bang. However, in the everyday context of the universe's expansion, time is still regarded as flowing forward.