Is the membrane at a different scale than a string in the sense that 10 ^ -30 cm was cited as the scale at which a point particle appears as string. Would the membrane be like a magnification of the string? Also if we go further in scale the membrane takes on thickness? Are these the dimensions that are curled up?

Duality implies yin and yang, hot and cold. Two different things may be manifesting a similar thing. OK. Temperature is cold and hot. There are different quantities and qualities. Corner theories of Mohammad Ali and Mike Tyson. This is how I developed my ICE LIGHTS series. Many concepts to distinguish terrestrial level northern lights from Van Allen Radiation Belts.

do different duality frames correspond to different energy states of the same underlying system, similar to how solid, liquid, and gas are different phases of matter with different molecular energies? Or are duality frames better understood as different mathematical descriptions of the same physics rather than different physical energy levels?

YS

Very well stated.