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A list of some posts that are pretty awesome
I recommend the major sequences to everybody, but I realize how daunting they look at first. So for purposes of immediate gratification, the following posts are particularly interesting/illuminating/provocative and don't require any previous reading:
- Your Intuitions are Not Magic
- The Apologist and the Revolutionary
- How to Convince Me that 2 + 2 = 3
- Lawful Uncertainty
- The Planning Fallacy
- Scope Insensitivity
- The Allais Paradox (with two followups)
- We Change Our Minds Less Often Than We Think
- The Least Convenient Possible World
- The Third Alternative
- The Domain of Your Utility Function
- Newcomb's Problem and Regret of Rationality
- The True Prisoner's Dilemma
- The Tragedy of Group Selectionism
- Policy Debates Should Not Appear One-Sided
- That Alien Message
More suggestions are welcome! Or just check out the top-rated posts from the history of Less Wrong. Most posts at +50 or more are well worth your time.
Welcome to Less Wrong, and we look forward to hearing from you throughout the site.
I find your reference to "the subjectively perceived state" problematic, when the physical processes you describe don't contain a brain or even a measuring device. Freely employing the formal elements and the rhetoric of the usual quantum interpretation, when developing a new one supposedly free of special measurement axioms and so forth, is another way for the desired conclusion to enter the line of reasoning unnoticed.
In an earlier comment you talk about the "objective observer state", which you describe as the usual density operator minus the usual statistical interpretation. Then you talk about "reality for the observer" as "the eigenstate of the density operator with the greatest eigenvalue", and apparently time evolution "for the observer" consists of this dominant eigenstate remaining unchanged for a while (or perhaps evolving continuously if the spectrum of the operator is changing smoothly and without eigenvalue crossings?), and then changing discontinuously when there is a sharp change in the "objective state".
Now I want to know: are we really talking about states of observers, or just of states of entities that are being observed? As I said, you're not describing the physics of observers, you're not even describing the physics of the measurement apparatus; you're describing simple processes like scattering. So what happens if we abolish references to the observer in your vocabulary? We have physical systems; they have an objective state which is the usual density operator; and then we can formally define the dominant eigenstate as you have done. But when does the dominant eigenstate assume ontological significance? For which physical systems, under which circumstances, is the dominant eigenstate meaningful - brains of observers? measuring devices? physical systems coupled to measuring devices?
Your question is absolutely valid and also important. In fact, most of what I write in my paper and the blog is about answering precisely this.
My observer is well defined, as a mechanism that is part of a quantum system and who interacts with the quantum system to gather information about it. He is limited by the locality of interaction and the unitary nature of the evolution. I imagine the observer to be a physicist, who tries to describe the universe mathematically, based on what he sees. But that is only a trick in order to have a mathematical formulati... (read more)