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• W2479779667 abstract "The recent debate on hyper-computation has raised new questions both on the computational abilities of quantum systems and the Church-Turing Thesis role in Physics. We propose here the idea of “geometry of effective physical process” as the essentially physical notion of computation. A key element to understand the shape of the geometry in Quantum mechanics is the Fisher metric whose meaning is connected with the stabilization of the Classical mechanics by Quantum mechanics. Different researchers define the stabilization as the manifestation of dissipative processes into the vacuum. We argue that no dissipation takes place, but a more general change occurs in Quantum mechanics. In Quantum mechanics we cannot use the traditional Euclidean geometry but we need to introduce more sophisticated non Euclidean geometry which includes a new kind of information diffused in the whole universe and that we can represent as Fisher information or active information. We remark that from the Fisher information we can obtain the Bohm and Hiley quantum potential and the classical Schrodinger equation. The bridge between Quantum mechanics and Classical mechanics is given by the Fisher metric in statistical geometry whose value is obtained through Quantum mechanics. We can see that the quantum phenomena do not affect a limited region of the space but are reflected in a change of the geometry of the whole universe. In conclusion any local physical change or physical process is reflected in the whole universe by the change of its geometry, This is the deepest meaning of the entanglement in Quantum mechanics and quantum computing. We stress the connection between metric and information as a measure of change. We analyze how the standard form (quantum gates) and the non-standard form of the quantum computing can be seen as a particular case of the metric of the parameter space in the distribution of the probabilities. Because computation is not restricted to calculus but produces the environment changing via physical processes, super-Turing potentialities derive from an incomputable information source embedded into the geometry of the universe in accordance with Bell’s constraints. On condition that we consider the formal concept of “universality” as a particular case of the universal geometry of the probabilistic space with its transformations we open the possibility that quantum oracles can be reachable. In this way computation is led back to the hidden universal geometry of the physical world. In the general relativity we define the geometry of the space time. In our approach quantum phenomena define the geometry of the parameters of the probability distribution that include also the space time parameters. To study this new approach to the computation we use the new theory of Morphogenic systems." @default.
• W2479779667 created "2016-08-23" @default.
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• W2479779667 date "2012-03-01" @default.
• W2479779667 modified "2023-10-14" @default.
• W2479779667 title "INFORMATION AS ENVIRONMENT CHANGINGS CLASSICAL AND QUANTUM MORPHIC COMPUTATION" @default.
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• W2479779667 doi "https://doi.org/10.1142/9789814383332_0005" @default.
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