The main claim that the Schroedinger equation isn't consistent with chaotic behaviour of observables because it is linear in psi seems poorly thought out.
As one commenter on youtube pointed out, the Schroedinger equation is linear in psi, but the Liouville equation from statistical physics is also linear in rho and nobody suggests this somehow makes it inconsistent with classical systems exhibiting chaos.
The mistake is that mathematical linearity is in equation for psi/rho, and this is then incorrectly changed into assuming linearity of equations for observables. The observed chaos is not in psi/rho, but in observables, say, positions and momenta.
The actual problem here is the age-old measurement problem, i.e. the psi function does not tell us result of experiment, only probabilities of possible results, so psi function can't be complete description of state of things in reality.
As one commenter on youtube pointed out, the Schroedinger equation is linear in psi, but the Liouville equation from statistical physics is also linear in rho and nobody suggests this somehow makes it inconsistent with classical systems exhibiting chaos.
The mistake is that mathematical linearity is in equation for psi/rho, and this is then incorrectly changed into assuming linearity of equations for observables. The observed chaos is not in psi/rho, but in observables, say, positions and momenta.
The actual problem here is the age-old measurement problem, i.e. the psi function does not tell us result of experiment, only probabilities of possible results, so psi function can't be complete description of state of things in reality.