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Newtonian gravitation with some slight modifications, along with some highlysimplified ideas from quantum field theory allow us to reproduce, at least atthe level of back-of-the-envelope calculations, many results of black holephysics. We consider particle production by a black hole, the Newtonianequivalent of the Hawking temperature, and the Bekenstein entropy. Also, we areable to deduce Newtonian field equations from entropy. We finally studyhigher-order Newtonian theories under the same assumptions used for ordinaryNewtonian theory. In a companion article we will look at entropic forces forvarious entropies and make contact with our analysis of higher-order Newtoniantheories.

Newtonian black holes: Particle production, "Hawking" temperature, entropies and entropy field equations