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• W2088402572 abstract "This paper will present a skeleton outline of new mathematical tools, based on concepts from quantum field theory (QFT), which could open up a new approach to understanding chaotic solitons and other chaotic modes for classical PDE in four dimensions. It will argue that a further development of these tools could lead to a radical reformulation of physics, with large potential implications both for technology and for biology. The central ideas include: the use of statistical moments as a way of mapping a complicated attractor to a point in Fock space; the use of reification or dressing operators to transform the statistical dynamics into a linear Schrodinger-like equation with a Hermitian “Hamiltonian”; the use of localized eigenvectors in Fock space to characterize chaotic solitons; in applications to QFT, the assumption of time- symmetry (rather than forwards time) in microscopic causality, which makes it possible to derive the measurement formalism of QFT; the use of field operators to calculate expectation values, and a truly four-dimensional approach that is equivalent but simpler than the usual approach of QFT. The potential implications, while speculative, could be extremely large; however, they cannot be realized or defined more precisely without additional mathematical research. There are many new research opportunities here in many different directions, all of them with large potential impact." @default.
• W2088402572 created "2016-06-24" @default.
• W2088402572 creator A5017154019 @default.
• W2088402572 date "1993-07-01" @default.
• W2088402572 modified "2023-09-27" @default.
• W2088402572 title "Chaotic solitons and the foundations of physics: a potential revolution" @default.
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• W2088402572 doi "https://doi.org/10.1016/0096-3003(93)90126-y" @default.
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