Djh. Chung et K. Freese, Can geodesics in extra dimensions solve the cosmological horizon problem? art. no. 063513, PHYS REV D, 6206(6), 2000, pp. 3513
We demonstrate a non-inflationary solution to the cosmological horizon prob
lem in scenarios in which our observable universe is confined to three spat
ial dimensions (a three-brane) embedded in a higher dimensional space. A si
gnal traveling along an extra-dimensional null geodesic may leave our three
-brane, travel into the extra dimensions, and subsequently return to a diff
erent place on our three-brane in a shorter time than the time a signal con
fined to our three-brane would take. Hence, these geodesics may connect dis
tant points which would otherwise be "outside" the four dimensional horizon
(points not in causal contact with one another).