It might happen fast, you can chek ponctuated equilibrium for instance. But evolution is not simply a mater of living in a different environnement, the environnement has to discriminate sets of individuals in some way based on their genes over other sets.
If Group A has 'gene A' and reproduce more than Group B with 'gene B', 'Gene A' frequency will increase.
If that does not happen, or if it's not a strong trend, or if this alternates, The whole group may not really change at all.
Humans go a long way, especially in 3301 with their technology, in adapting the environnnement to them, instead of the opposite. The most basic thing may be cloths, but houses, cities, heat control, medicine, genetics, cybernetics, weapons, terraformation, introducing species, or even eliminating other dangerous(or not) species which we've been doing for many thousands of years(...). It's preventing this discrimation more than the opposite. If anything it slows down our evolution drastically. Another things that isnt helping it going fast, is our average life expectancy, how much time between generations, how much children do women have in their life in average, the size of the population, movement and exchanges of genes between those, yes some worlds may be more isolated but the above still aplies. 1300 years is not a lot at all in the case of humans.
Again you say about magnificent technology what makes everyone live long and healthy. But technology cant just pop up from nowhere. It must be developed long and hard to help people who need them while people on colonies was dying from new desieses, nature anomalies and other previously unknown to them factors. Technology evolution in such cases will hapening paralel to natural selection. So all that terroforming technology was created by blood, sweat and tears of first coloniests. I assume what technology evolution come faster then geneticaly. But it sometimes takes only 20 generations to some species adopt for new envoirement while 2 generation from them is while that new allele what gives adventage start to widespread. So how fast humans can invent all that what fully protect they lives on new planet? 20 years? 40? or maybe 100? But it also must be builded. Also i assume what Frame Shift Drive was developed not so long ago.
I don`t mean what all humans must now look complently different but some of them will. Especialy Empire colonists becose they was separeted from Sol.
So what i want to see is what differences will be between humans from different planets. I assume what thair be not much but something in apperaence must be different.
P.S. Thank you for your reply nicomark, it is rarely someone say something usefull but you do.
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