Earth-Like Planet around Proxima?

[AFTT47]

Because the luminosity of star declines exponentially with star mass,  the Goldilocks zone around a dwarve star would be in a much steeper part of the parent star's gravity well than the earth is on the sun's.   So any planet in proxima centauri's Goldilocks zone won't be earth like:   It is probably tidal locked to its parent star.  One side is perpetually day, the other perpetually night.

I believe a planet in the Goldilocks zone of most K-type stars (cool, orangish stars typically half the mass of our sun) will probably be tidally locked but there is no question about it with a red dwarf. Perhaps even more significant though, that tidal effect will have all kinds of consequences on the planet's geology. I don't know if it's inevitable that the planet would end up like Jupiter's moon, Io but would think it would have to be allot more active than Earth.