> On 27 Mar 2018, at 23:55, Lawrence Crowell <[email protected]> 
> wrote:
> 
> On Tuesday, March 27, 2018 at 11:06:51 AM UTC-6, Bruno Marchal wrote:
> 
>> On 27 Mar 2018, at 00:57, Lawrence Crowell <[email protected] 
>> <javascript:>> wrote:
>> 
>> On Monday, March 26, 2018 at 11:01:27 AM UTC-6, Bruno Marchal wrote:
>> 
>>> On 25 Mar 2018, at 17:34, Lawrence Crowell <[email protected] <>> 
>>> wrote:
>>> 
>>> 
>>> 
>>> On Sunday, March 25, 2018 at 5:01:59 AM UTC-6, Bruno Marchal wrote:
>>> 
>>>> Yes, and if someone argue that consciousness is not maintained whatever 
>>>> the substitution level is, it is up to them to explain what in the 
>>>> brain+local-evirnoment is not Turing emulable. I see only the “wave packet 
>>>> reduction”, but I don’t see any evidence for that reduction, and it would 
>>>> make Quantum mechanics inconsistent (I think) and not usable in cosmology, 
>>>> nor in quantum information science. To believe that the brain is not a 
>>>> “natural” machine is a bit like believing in some magic. Why not, but 
>>>> where are the evidences?
>>> 
>>> Bruno
>>> 
>>> There are a couple of things running around here. One involves brains and 
>>> minds and the other wave function reduction. 
>>> 
>>> The issue of up loading brains or mapping them come into the problem with 
>>> the NP-complete problem of partitioning graphs. I like to think of this 
>>> according to tensor spaces of states, such as with MERA (multi-scale 
>>> entanglement renormalization ansatz) tensor networks. The AdS_3 example 
>>> with H^2 spatial surface is seen in the diagram below.
>>> 
>>>  
>>> <https://lh3.googleusercontent.com/-KTQRkq19A5k/Wre62NN61yI/AAAAAAAADTI/tYG0j0LYGBsd1SKZ38rnFaAFxj5PaOhrwCLcBGAs/s1600/MERA-AdS%2Btensor%2Bnetwork.jpg>
>>> 
>>> This network has the highest complexity for the pentagonal tessellation for 
>>> these are honeycombs of the groups H3, H4, H5 corresponding to the 
>>> pentagon, dodecahedron, and the 4-dim icosadedron or 120/600 cells. These 
>>> groups will tessellate a 2, 3 and 4 dimensional spatial hyperbolic surface 
>>> embedded in AdS_3, AdS_4 and AdS_5. These define half the weights of the E8 
>>> groups with the Zamolodchikov eigenvalues or masses. 5-fold structures have 
>>> connections to the golden mean, and the Zamolodchikov quaternions are 
>>> representations of the golden mean quaternions. A quantum error correction 
>>> code (QECC) defines a projector onto each of these partitioned elements, 
>>> but (without going into some deep mathematics) this is not computable in a 
>>> root system because there is no Galois field extension, which gives that 
>>> the QECC is not NP-complete.  
>>> 
>>> This of course is work I am doing with respect to the problem of unitarity 
>>> in quantum black holes and holography. It may have some connection with 
>>> more ordinary quantum mechanics and measurement. The action of a 
>>> measurement is a process whereby a set of quantum states code some other 
>>> set of quantum states, where usually the number of the measuring states is 
>>> far larger than the measured states. The quantum measurement problem may 
>>> have some connection to the above, and further it has some qualitative 
>>> similarity to self-reference. This may then mean the proposition P = NP or 
>>> P =/= NP is not provable, but where maybe specific examples of 
>>> NP/NP-complete algorithms as not-P can be proven. 
>>> 
>>> This further might connect with the whole idea of up-loading minds into 
>>> computers. Brains and their states are not just localized states but 
>>> networks, and it could well be that this is not tractable. I paste in below 
>>> a review paper on graph partitioning. This is just one possible theoretical 
>>> obstruction, and if you plan on actually "bending metal" on this the 
>>> problems will doubtless multiply like bunnies in spring. 
>>> 
>>> As a general rule once these threads gets past 100 I tend not to post any 
>>> more. It becomes to annoying to find my way around them.
>> 
>> 
>> 
>> That is interesting, and might even help later to recover notions like 
>> space, but to keep the distinction between the communicable and the non 
>> communicable part of the machines modes, which is needed for the mind-body 
>> problème, we have to extracted such structure in some special way, using the 
>> mathematics of self-reference. I am unfortunately not that far! It might 
>> take some generations of mathematicians.
>> 
>> Bruno
>> 
>> The non-communicating regions can be in a quantum entanglement.
> 
> 
> The non-communicating/proving/Justifiable-believing regions is axiomatised by 
> G*. The quantum entanglement appears (well their shadows at least) in the 
> material mode of the true self-references (see my papers for the mathematical 
> precision).
> 
> I do not assume a physical reality. I assume only very elementary arithmetic, 
> or very elementary combinators theory, or anything Turing equivalent.
> 
> But there is indeed a relation between arithmetical incompleteness and the 
> quantum, as it is incompleteness making the logic of []p distinguishable from 
> []p & p and []p & ~[]f and others, and they give the arithmetical quantum 
> logic when p is restricted to the semi-computable (sigma_1) propositions.
> This is not well known, if not well hidden, despite verified by many. We are 
> in the materialist Aristotelian dogmatic era, where people prefer comfortable 
> lies instead of ignorance and research. 
> 
> Bruno
> 
> I don't think entanglement has anything to do with self-reference in a direct 
> way. It is with measurement of decoherence this might emerge. A measurement 
> is a process where the superposition or entanglement phase is transferred to 
> a reservoir of states which culminate in the needle state.

>From the first person points of view. A good thing, as this illustrated how 
>the first person view become a plural (but still phenomenological) view, as 
>dictated by mechanism. 



> In effect this leads to the einselection of stable classical states,

Indeed.



> which can occur without an actual conscious observer.

I can agree, but you need the first person to make it a stable reality we can 
talk about. 



> The incompleteness is seen in the incompatibility of classical and quantum 
> physics.


?

The quantum is a consequence of incompleteness, because to have a measure, we 
have to add the existence of the continuations explicit. This is obtained by 
passing from the logic of []p to the logic of []p & <>t. P has to be true in 
all extensions (to get the measure one), but we have to add the non provable 
“<>t” to assure that there is at least one extension, which the machine can’t 
prove.



>  I am not sure how this would fit into the NP-completeness of a quantum error 
> correction codes in quantum gravitation. 

Me neither.


> 
> Black holes have some similarities with the problem of so called wave 
> function collapse. Hawking radiation has decoherent structure and has been 
> seen as a case of where a closed system can lead to collapse or decoherence. 
> The standard idea is decoherence occurs because there is an infinite number 
> of vacuum states an excited state can spontaneously emit into. This is more 
> of an open system model. So this is a bit of a conundrum. Invoking 
> NP-completeness is a way of arguing for an open world or system. Where this 
> fits into a further putative Godel perspective is not clear to me.


Well, there is no choice than to see how the arithmetical look to arithmetical 
being, if we assume mechanism. Non-mechanism might be true, but it comes back 
dismiss consciousness and eliminating person, or adding some magic in the mind 
to identify some finite volume with some mind creating machine. I do not assume 
a physical reality, I show how the perception of such emerges from number when 
they introspect themselves, and although the physics obtained is very modest, 
it fits with the observable *and* with consciousness, contrary to physicalism.

Bruno




> 
> Cheers LC
> 
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