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.

Dynamic processes associated with natural numbers

*On certain inequalities relating to prime numbers*, Nature 38 (1888), pp. 259-262, and reproduced in *Collected Mathematical Papers*, Volume 4, p. 600, Chelsea, New York, (1973).

Fernando Revilla

*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.