Square Enix has trademarked
Final Fantasy Dimensions in the US and EU.
My guess? This is the US/EU name of
Bravely Default: Flying Fairy, the 3DS spiritual successor to
Final Fantasy: The 4 Heroes of Light. The timing is right, the name seems right ("Dimensions," 3DS), and
Bravely Default was an obvious candidate for a name change outside of Japan anyway. It also wouldn't be the first time Square has given the
Final Fantasy name to non-FF games upon their Western release (see:
Final Fantasy Adventure, The Final Fantasy Legend).
Bravely Default is one of my most anticipated games of the year, so anything that even remotely points to a US release makes me happy.