home bbs files messages ]

Forums before death by AOL, social media and spammers... "We can't have nice things"

   sci.physics.research      Current physics research. (Moderated)      17,516 messages   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]

   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)   

[   << oldest   |   < older   |   list   |   newer >   |   newest >>   ]


(c) 1994,  bbs@darkrealms.ca