Welcome. We present a paper in which we create a family of first-order-arithmetic interpretations where natural numbers are in association with time states. This allows to construct dynamic processes in such a way that an acceleration characterizes at least one arithmetic statement (for example, the Goldbach Conjecture), a characterization which is lost in an instant of time, obtaining a temporal singularity.
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Time and symbolism: two hidden faces of the prime numbers, and Goldbach Conjecture and Peano Arithmetic, Transcripts of the First International Congress of Applied Mathematics (Theoretical foundations of applied mathematics), Madrid, 2007, ref. 702, pp. 451-454. ISBN 978-84-7493-381-9.