linkedin post 2021-05-11 05:00:14

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MEGASCALE THOUGHT MACHINES. “These machines, referred to as Matrioshka Brains, consume the entire power output of stars (~10(26) W), consume all of the useful construction material of a solar system (~10(26) kg), have thought capacities limited by the physics of the universe and are essentially immortal.” https://lnkd.in/gxfU_Yr View in LinkedIn
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linkedin post 2021-05-11 04:59:10

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THE MODEL. “The quantum brain network that we shall construct in the present paper is nothing but a neural network implementation of the same model. This is achieved by means of identification of the neuron‐describing degrees of freedom with the number operators of the angular harmonics of the quantum field.” 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 2021-05-11 04:58:10

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SOURCE OF STORAGE. “The micro‐states of these modes house an exponentially large number of patterns, with the corresponding entropy given by the area of the same ‐dimensional sphere.” 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 2021-05-11 04:57:16

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GAPLSSNESS. “This excitation lowers the energy thresholds of the higher angular momentum modes, so that the theory delivers a set of the gapless modes with their number scaling as the area of a ‐dimensional sphere.” 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 2021-05-11 04:55:47

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INFO STORAGE. “It was shown that a theory of a quantum field inhabiting a d‐dimensional sphere and experiencing an angular‐momentum‐dependent attractive interaction exhibits a sharp enhancement of memory storage capacity in a critical state in which the lowest angular momentum mode is macroscopically excited.” 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 2021-05-11 04:54:42

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BLACK HOLES AND BRAINS. “In this paper we shall attempt to take one more step and try to see if a neural network can possess some additional informational characteristics that are usually considered to be the defining properties of black holes, such as the Bekenstein's area law entropy.” 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 2021-05-11 04:53:25

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GAPLESS NEURONS. “Instead of storing patterns in the local minima of the energy function, as, for example, in usual treatments of the Hopfield model, the enhanced memory points can be identified among the highly excited critical states, where set of neurons becomes gapless.” 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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