T-duality is used to extract information on an instanton of zero size
in the E(8) x E(8) heterotic string. We discuss the possibility of the
appearance of a tensionless anti-self-dual non-critical string throug
h an implementation of the mechanism suggested by Strominger of two co
incident 5-branes. It is argued that when an instanton shrinks to zero
size a tensionless non-critical string appears at the core of the ins
tanton. It is further conjectured that the appearance of tensionless s
trings in the spectrum leads to new phase transitions in six dimension
s in much the same way as massless particles do in four dimensions.