> 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





> 
> LC
> 
> https://arxiv.org/abs/1311.3144
> Recent Advances in Graph Partitioning
> 
> Aydin Buluc <https://arxiv.org/find/cs/1/au:+Buluc_A/0/1/0/all/0/1>, Henning 
> Meyerhenke <https://arxiv.org/find/cs/1/au:+Meyerhenke_H/0/1/0/all/0/1>, Ilya 
> Safro <https://arxiv.org/find/cs/1/au:+Safro_I/0/1/0/all/0/1>, Peter Sanders 
> <https://arxiv.org/find/cs/1/au:+Sanders_P/0/1/0/all/0/1>, Christian Schulz 
> <https://arxiv.org/find/cs/1/au:+Schulz_C/0/1/0/all/0/1>
> (Submitted on 13 Nov 2013 (v1 <https://arxiv.org/abs/1311.3144v1>), last 
> revised 3 Feb 2015 (this version, v3))
> We survey recent trends in practical algorithms for balanced graph 
> partitioning together with applications and future research directions.
> Subjects:     Data Structures and Algorithms (cs.DS); Distributed, Parallel, 
> and Cluster Computing (cs.DC); Combinatorics (math.CO)
> Cite as:      arXiv:1311.3144 <https://arxiv.org/abs/1311.3144> [cs.DS]
>       (or arXiv:1311.3144v3 <https://arxiv.org/abs/1311.3144v3> [cs.DS] for 
> this version)
> 
> 
> 
> 
> 
> 
> 
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