What is the term for our contemporary world in flux, with people on the move, in which established groups, boundaries, identities, contrasts, and standards are reaching out and breaking down?

Postmodernity, is the right answer.

Explanation:

The economic or cultural condition that existed following modernity is known as Post-modernity. According to some schools of thoughts, modernity came to an end in the later phase of the 20th century and then began a period of post-modernity. On the other hand, others would stretch modernity to include the expansions indicated by post-modernity, while some others believe that modernity came to an end after the Second World War.

The notion of the post-modern contingency is sometimes described as a culture torn of its capability to operate in an autonomous state such as regressive noninterference, in contrast to the progressive mind-state of modernism.