On 29 Apr 2011, at 02:42, Stephen Paul King wrote:

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Please allow me to ask another question. Is the notion of an“observer moment” corresponding to “the smallest possible consciousexperience” related to Bruno’s concept of substitution level? ISTMthat both act like the idea of a coarse graining on an ensemblethat is used to define the entropy of a system in that all of themembers of the ensemble that are indistinguishable from amacroscopic point of view.

You can easily relate them.

`Let us distinguish the 1-OMs from the 3-OMs. The 1-OM are experiences`

`of an individual when his brain is in some computational state S. We`

`assume comp, of course, so we can attribute a 1-OM to some such`

`state. The 3-OMs are given by all the equivalent computational states`

`S, S', S'', ... obtained in the universal dovetailing. For example the`

`state of your brain emulated by a program computing the Heisenberg`

`evolution of the Milky Way at the level of strings, or the state of`

`your brain obtained by another program simulating the quantum`

`fluctuation of the void, or the state of your brain obtained by a`

`fortran program emulating a lisp program emulating a prolog program`

`emulating ... emulating the search of the solution of some universal`

`diophantine polynomial, etc. All those programs are emulated by the`

`universal dovetailer, and all the finite pieces of computations`

`obtained by such emulation can be proved to exist in a tiny part of`

`arithmetic. There are aleph_0 such finite piece of computations, and`

`they are all "run" by the UD. The first person glue them into a priori`

`2^aleph_0 infinite computations.`

`For each of them, you can always find in arithmetic a computation`

`which is more fine grained. But you, by the first person`

`indeterminacy, cannot know in which computation you are. Actually you`

`can be said belonging to all of them, and your physical laws are`

`determined by the measure on your continuations of such computations.`

`From this you can see that the highest level of substitution defines`

`the measure on the possible lowest one, which you cannot distinguish,`

`by definition. That is why, if we look at ourselves below that level,`

`we have to be confronted with a strong form of indeterminacy.`

`Boltzman's idea cannot be used at this stage, though, without having a`

`measure on the relative computations, and this prevents a direct use`

`of the notion of entropy. We need more physics for that, but, as I`

`have already explained we have to derive that physics from the numbers`

`and self-reference if we don't want to miss the relationship between`

`the quanta and the qualia offered by the splitting between provable`

`self-reference and true self-reference (G and G* and their intensional`

`variants).`

Bruno http://iridia.ulb.ac.be/~marchal/ -- You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com. To unsubscribe from this group, send email to everything-list+unsubscr...@googlegroups.com. For more options, visit this group at http://groups.google.com/group/everything-list?hl=en.