189 research outputs found
Modeling Quantum Mechanical Observers via Neural-Glial Networks
We investigate the theory of observers in the quantum mechanical world by
using a novel model of the human brain which incorporates the glial network
into the Hopfield model of the neural network. Our model is based on a
microscopic construction of a quantum Hamiltonian of the synaptic junctions.
Using the Eguchi-Kawai large N reduction, we show that, when the number of
neurons and astrocytes is exponentially large, the degrees of freedom of the
dynamics of the neural and glial networks can be completely removed and,
consequently, that the retention time of the superposition of the wave
functions in the brain is as long as that of the microscopic quantum system of
pre-synaptics sites. Based on this model, the classical information entropy of
the neural-glial network is introduced. Using this quantity, we propose a
criterion for the brain to be a quantum mechanical observer.Comment: 24 pages, published versio
Dynamical Gauged S-duality Spontaneous Breakdown
Inspired by Yoneya's recent work on D-brane field theory, we present the
constructive definition of this theory as a new dual model based on the
quantization of non-perturbative string gauged S-dualities and its spontaneous
breakdown. Our model is determined by one BRST quantization condition. Here, we
provide some testable conjectures, for example, that the partition function of
bosonic part of IIB matrix model and string partition functions of various
interactions including gravity are realized by the physical state and its
Goldstone modes.Comment: latex, 8 page
Holographic Interpretation of Shannon Entropy of Coherence of Quantum Pure States
For a quantum pure state in conformal field theory, we generate the Shannon
entropy of its coherence, that is, the von Neumann entropy obtained by
introducing quantum measurement errors. We give a holographic interpretation of
this Shannon entropy, based on Swingle's interpretation of anti-de Sitter
space/conformal field theory (AdS/CFT) correspondence in the context of
AdS/CFT. As a result of this interpretation, we conjecture a
differential geometrical formula for the Shannon entropy of the coherence of a
quantum pure or purified state in CFT at thermal and momentum equilibrium
as the sum of the holographic complexity and the abbreviated action, divided by
, in the bulk domain enclosed by the Ryu--Takayanagi curve. This
result offers a definition of the action of a bulk model of qubits dual to the
boundary CFT at this equilibrium.Comment: 9+2 pages, revtex, v6: published version, bundled with the addendu
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