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wait, but doesn't typical qm operate off of integrating over every possible quantum trajectory, including relativity-prohibited ones where particles take superluminal velocities? so if qtt is valid and otherwise compatible with vanilla qm, how does it address that discrepancy?

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You're confusing quantum trajectories for classical ones. The latter are what we use in path-integral formulations, and constitute a single path through spacetime. No such path exists for quantum states, since that would be a local hidden-variable theory (which has been experimentally ruled-out).

Trajectories of quantum states are well described here: https://arxiv.org/abs/quant-ph/0302080

ah right, thanks. been a few years since I did any qm work last

The difference is the rate of the measurements and the data collected. Usually you would measure the results (average of sums). This is more like a Fourier transformation, where each movement is measured and the entire state is measured. Sum of averages.

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