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|    sci.physics.research    |    Current physics research. (Moderated)    |    17,516 messages    |
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|    Message 17,466 of 17,516    |
|    Lydia Marie Williamson to All    |
|    The Lindblad Picture. Solving The Riddle    |
|    28 Aug 25 09:05:40    |
      [continued from previous message]              of the "Growing Block Universe" view of time, except (perhaps) for the       minor difference that while in the Growing Block Universe view the       future simply does not exist, in the Lindblad Picture view it exists,       but the evolution to it is simply non-unitary and, indeed, stochastic.       Effectively: the future is branched to (which, using a Wheelerism, we       might call Everett without Everett).              Query 5:              This branches out to another somewhat-unresolved issue. There doesn't       seem to be any standard textbook account of either the Projection       Postulate or either of its incarnations (the Born Rule or Lueders Rule)       in the Heisenberg Picture. I suspect that the root of this gap, or       missing piece in the puzzle, is that in realistic settings - when in       the Schroedinger Picture - Projection is actually implemented by the       Lindblad Equation. But, since Lindbladian dynamics is not particularly       well-defined in the Heisenberg Picture, then a straightforward       representation of projection in the Heisenberg Picture is actually       blocked! Thus, there is a relative absence of any account of       measurement theory in the Heisenberg Picture, though I am aware of       Deutsch's attempts to remedy that gap. With the Lindblad Picture, we       may actually be able to decisively resolve this matter. Measurement       theory in the Heisenberg Picture, when done in realistic settings,       would actually be in the Lindblad Picture.              Query 6:              Could you say something more about Deutsch's attempt to resolve the       matter?              Query 7:              It looks like Oppenheim's formalism repairs the deficiencies in       Deutsch's formalism, while bringing us straight to our own resolution       with the Linblad Picture. There is one minor detail to address,       however. Oppenheim uses a hybrid Markovian-Lindbladian dynamics, since       his state space is a Hilbert space bundle on a classical phase space.       It's through these means he hybridizes classical and quantum dynamics -       with the ground-breaking application being that of doing a "quantum       gravity without quantum gravity" mash-up unification of General       Relativity and Quantum Theory. The Lindblad picture needs to be       generalized to hybrid Lindblad-Markovian dynamics. In his 2023 "Post-       Quantum Gravity" paper, he actually did a side-by-side layout of the       elements of the two forms of dynamics, but left the classical side of       the unitary part (the commutator term) empty. I assume that this is       handled by the Poisson bracket. What I'm not clear on is which part of       the hybrid dynamics will be applied to the state and which part to the       observables. I assume the Lindbladian and Markovian parts would apply       to the states, while the commutator and Poisson bracket parts would              --- SoupGate-Win32 v1.05        * Origin: you cannot sedate... all the things you hate (1:229/2)    |
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