linkedin post 2021-05-19 06:00:07

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NEURAL NETWORK. “However, the sense of geometry is provided by the concept of a quantum field. Indeed, while the interaction of the quantum fields in position space is local, in momentum space it is not. The fact that the neurons are translated into the momentum modes, shows how to connect them to geometry.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:21:08

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OUTER FRINGE. “The key is the phenomenon of criticality that takes place in systems with gravity‐like synaptic connections among the bosonic degrees of freedom that can be in highly excited (highly occupied) states. In such states many gapless modes emerge.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:19:56

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SUMMARY. “Our idea is fundamentally different. Following,1 we suggest that the enhanced memory capacity mechanism that operates in black holes is very general in its essence and goes beyond the gravitational systems. Moreover, it possess a well‐defined classical counterpart. Correspondingly, this mechanism can be operative in the brain networks, both quantum and classical.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:18:46

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CAVEAT. “Finally, we wish to stress that by no means our result should be interpreted as an indication that the real quantum gravity effects play any role in memory storage in biological brains. Such suggestions have been made in the past and have been partially addressed by [17].This is not the question we are trying to discuss.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:17:51

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BLACK HOLES & BRAINS. “The above features may serve as a supporting evidence that some version of black hole information storage may be taking place within classical brains.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:17:08

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GAPLESS MODES. “The considered phenomenon of the critical memory enhancement has a smooth classical limit and can thereby take place is classical neural networks. We have seen this explicitly by storing patterns in the coherent states of the gapless modes.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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linkedin post 2021-05-19 06:15:31

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AREA LAW. “Assuming a spherically symmetric structure of the synaptic connections, the entropy of the critical states obeys the area low. In such a state the network delivers a set of the gapless neurons that inhabit a sphere of one dimension less. The identification of neurons with the angular‐momentum modes of a quantum field gives a well‐defined geometric meaning to the neural network.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn
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