On the emergence of quantum mechanics from stochastic processes
The paper reinterprets quantum dynamics as an underlying stochastic process on a configuration space. It shows how arbitrary stochastic kernels can be lifted to maps that correspond to completely positive, trace-preserving (CPTP) quantum channels. The key finding is that the Chapman–Kolmogorov divisibility constraint forces these lifts into the Lindblad master equation form, explaining how quantum phase information emerges from higher-order stochastic memory.