Even with the existing realm of limited immigration, the “one world” phenomenon is visible to some extent: friendship and kinship networks have global reach. Thus, information and ideas can travel faster through these networks, and new opportunities are available for businesses that rely on trade between multiple countries. Freer migration promotes more free trade of goods and ideas, and reduces the chances of conflict and war between countries.
The one world thesis is laid out in great detail by Economist editor Robert Guest in his book Borderless Economics (Amazon ebook).
Paul Crider reviewed the book in his blog post The economics of diasporas published October 4, 2013, on the Open Borders blog, and included a discussion of the theme.