An Infinite System with Gravitation

Synthese 135 (3):339-346 (2003)
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Abstract

The paper shows a new example of nonuniqueness of the solutionto Newtonian equations of motion for infinite gravitational systems. Unlike otherexamples, the gravitational field presents no singularity, nor are the non-gravitational forcesintroduced in the model singular (in particular, there are no collisions). The result is also ofinterest because it points to an interesting limitation of the elementary (Newtonian) formulationof classical mechanics.

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Jon Perez Laraudogoitia
University of the Basque Country

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Is Newtonian cosmology really inconsistent?David B. Malament - 1995 - Philosophy of Science 62 (4):489-510.
A Quantum Mechanical Supertask.John D. Norton - 1999 - Foundations of Physics 29 (8):1265-1302.

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