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THE DICTIONARY DEVELOPS. “Next thing is the interaction. The quantum neurons influence each other through the synaptic connections, which can be represented as an operator with two or more indexes, .” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

Alley way door in old town Girona makes a nod to an old tale about the bees. View in LinkedIn

BLACK HOLES FROM ANOTHER UNIVERSE. “Earlier universes might have existed before ours, and would have contained black holes. Prominent Oxford University mathematical physicist Roger Penrose has argued that cosmic background radiation – an energetic relic from the Big Bang – contains imprints of these black holes from before time. “ https://lnkd.in/d5wT4c6 View in LinkedIn

LEXICON DEVELOPS. “Since on the quantum field theory side the analogous number operators describe the occupation numbers of respective momentum modes, the excitation level of a neuron is translated as the occupation number of a particle mode.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

FIRST HOOK. “On the other hand, in a neural network the elementary degrees of freedom are the excitations of neurons.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

POINTS IN TIME. “Those who have succumbed to the seductive allure of the archetype of ‘eternal recurrence’—for example, in our own time: Nietzsche and T.S. Eliot—would want to model points in time by the points on a circle, rather than the real line. In a quantum theory, the scales of time or length are related to the inverse of energy via Planck’s constant.” https://lnkd.in/dMm_YkR View in LinkedIn

STARTING AT THE BEGINNING. “In quantum field framework the elementary degrees of freedom are the quantum oscillators describing the different momentum (and spin/helicity) modes of the field.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

EMERGENT TIME. “The idea of the emergence of time is, roughly speaking, that the concept of time as a continuum ordering of events is only an approximation, valid for sufficiently large scales of time and length (and, correspondingly, sufficiently low energies), to what is expected to be a quite different concept in the, as yet, unknown full quantum theory of gravity.” https://lnkd.in/dMm_YkR View in LinkedIn

FIRST TASK. “Our task thus boils down to the need of establishing a dictionary between the states of the quantum fields and the states of the quantum neural networks.” https://onlinelibrary.wiley.com/doi/full/10.1002/prop.201800007?casa_token=GdPRXs_tGLEAAAAA%3Ag-pxPMtkcleTYDUNK3mYGfpEzKRyc2LqQknTgFFB7dkYFDL8rDe2s0f4_0Q0oKjXD4_AEgFPGWolVTQ View in LinkedIn

QUANTUM GRAVITY. “The discovery of a satisfactory quantum theory of gravity has been widely regarded as the Holy Grail of theoretical physics for some forty years. The senses in which our standard ideas of time, and more generally spacetime, might be not fundamental to reality, but instead ‘emergent’ as an approximately valid concept on sufficiently large scales.” https://lnkd.in/dMm_YkR View in LinkedIn