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] 
> <javascript:>> 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.

LC 

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