So how do new species arise?
Why are you asking this? You must already know, because you claim to understand evolution well enough to reject it. Why are you asking absolutely basic questions about evolution?
Interbreeding populations evolve through the process of replication, heritable difference and natural selection. Whenever a population splits into two geographically separated groups, each group will face different environmental challenges that drive selection in different directions. Unless the two groups can reconnect to interbreed, they will continue to evolve in different directions until they are no longer the same species.