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Tegmark points out that any information stored in a special network known as a Hopfield neural net automatically has this error-correcting facility. However, he calculates that a Hopfield net about the size of the human brain with 10^11 neurons, can only store 37 bits of integrated information.
“This leaves us with an integration paradox: why does the information content of our conscious experience appear to be vastly larger than 37 bits?” asks Tegmark.
That’s a question that many scientists might end up pondering in detail. For Tegmark, this paradox suggests that his mathematical formulation of consciousness is missing a vital ingredient. “This strongly implies that the integration principle must be supplemented by at least one additional principle,” he says. Suggestions please in the comments section!
Consciousness as a State of Matter
Max Tegmark Dept. of Physics & MIT Kavli Institute, Massachusetts Institute of Technology, Cambridge, MA 02139 (Dated: Accepted for publication in Chaos, Solitons & Fractals March 17, 2015)
We examine the hypothesis that consciousness can be understood as a state of matter, “perceptronium”, with distinctive information processing abilities. We explore four basic principles that may distinguish conscious matter from other physical systems such as solids, liquids and gases: the information, integration, independence and dynamics principles. If such principles can identify conscious entities, then they can help solve the quantum factorization problem: why do conscious observers like us perceive the particular Hilbert space factorization corresponding to classical space (rather than Fourier space, say), and more generally, why do we perceive the world around us as a dynamic hierarchy of objects that are strongly integrated and relatively independent? Tensor factorization of matrices is found to play a central role, and our technical results include a theorem about Hamiltonian separability (defined using Hilbert-Schmidt super operators) being maximized in the energy Eigen basis. Our approach generalizes Giulio Tononi’s integrated information framework for neural-network-based consciousness to arbitrary quantum systems, and we find interesting links to error-correcting codes, condensed matter criticality, and the Quantum Darwinism program, as well as an interesting connection between the emergence of consciousness and the emergence of time.
Tegmark points out that any information stored in a special network known as a Hopfield neural net automatically has this error-correcting facility. However, he calculates that a Hopfield net about the size of the human brain with 10^11 neurons, can only store 37 bits of integrated information.
“This leaves us with an integration paradox: why does the information content of our conscious experience appear to be vastly larger than 37 bits?” asks Tegmark.
The Network capacity of the Hopfield network model is determined by neuron amounts and connections within a given network. Therefore, the number of memories that are able to be stored is dependent on neurons and connections. Furthermore, it was shown that the recall accuracy between vectors and nodes was 0.138 (approximately 138 vectors can be recalled from storage for every 1000 nodes) (Hertz et al., 1991). Therefore, it is evident that many mistakes will occur if one tries to store a large number of vectors. When the Hopfield model does not recall the right pattern, it is possible that an intrusion has taken place, since semantically related items tend to confuse the individual, and recollection of the wrong pattern occurs. Therefore, the Hopfield network model is shown to confuse one stored item with that of another upon retrieval. Perfect recalls and high capacity, >0.14, can be loaded in the network by Hebbian learning method.[8][9]
Hopfield Network Capacity
Roy Mishali According to Wikipedia (Neuron), each of the one hundred billion neurons in the human brain has on average 7,000 synaptic connections to other neurons.
originally posted by: Kashai
This presents the works of Max Tegmark in relation to the conclusion that Consciousness is another state of matter....
originally posted by: Kashai
a reply to: namelesss
I do not see where this actually has anything to do with religion but rather physiology.
This issue is the relates to the paradox offered and the mystery implicated by the data.
Nonetheless Has been getting a lot of negative responses recently but also from Atheist so clearly the issues that he speaks of are controversial to many people.
See when a neuron in the brain fires the wave state that corresponds is of course also reacting. So it would seem then rational to consider that avenue in so far as relating to consciousness. Myself I have been looking into this and consider that this is potentially an unexplored factor that could very well be relevant to understanding why the brain operates the way it does.
To suggest that it must have something to do with the soul is not relevant and what could be relevant is a matter of diagnostics.
Hypothetically consider a technology capable of assessing the status of an object by examining its wave state exclusively.
Granted that is impossible today but the wave state of matter is a physical property by default so therefore at the very least it could be possible.