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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

Exquisite unsung stucco work in Barcelona. View in LinkedIn

INTUITIVE THINKING. “The acquisition of skill selectively increases the accessibility of useful responses and of productive ways to organize information. The master chess player does not see the same board as the novice.” (Nobel Prize Lecture, December 8, 2002 by Daniel Kahneman). https://lnkd.in/dt86PQg View in LinkedIn

EXPONENTIAL STORAGE. “We have seen that a quantum brain network with the gravity‐like synaptic connections can acquire a very high complexity and an ability to store an exponentially large number of patterns within a narrow energy gap.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

INFORMATION PASSAGE. “We shall assume that a pattern encoded in an initial state of b‐neurons is transmitted to a‐neurons through the synaptic connections. The response efficiency will be measured by its precision, i.e., by how accurately the state of a‐neurons can reproduce an input pattern.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

LOWEST ENERGY THRESHOLD. “Not surprisingly, the neural network in the above critical state can respond – with maximal precision – to an arbitrarily soft input stimuli.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

END OF PAPER. This concludes this difficult and extraordinary paper by Gia Dvali of the Max Planck Institute in Germany. It illustrates the type of extreme thinking that is possible when physicists turn their minds to biology, and the novelty of their whole approach. It will be a great day when more physicists think about biological complexity with their very special way of analyzing reality. https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

FRAGMENT FROM NATURE continues from last weekend and concludes this weekend on an exceptional article by Professor Jeremy Butterfield on quantum issues including gravity and time. We are lucky to have great minds contemplating these marvelous issues, for the world becomes a different place after their illuminations. View in LinkedIn

HOLOGRAM. “For a certain symmetry structure of the network, the gapless modes appear to inhabit a lower dimensional surface area, thereby displaying a holographic behaviour.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn