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Discrete informational models

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Discrete Integrable Systems

We can easily create simple computational processes, loosely based on the mathematics of physical systems. In one case we model the temporal evolution of simple discrete second order informational processes where we have imposed constraints peculiar to reversible computation. By focusing on systems that share properties with simple physical models we have found a class of such discrete computations that exhibit exact conservation laws despite the absence of continuous symmetries. In particular we have made a surprising observation about the calculation of probabilities from amplitudes that appears to yield a new insight into the nature of the quantum mechanical description of certain physical phenomena. Another simple discrete informational model, the infoton particle, clearly violates local conservation laws while, nevertheless, operationally modeling the process of General Relativity.

This talk is part of the Isaac Newton Institute Seminar Series series.

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