id	author	title	date	pages	extension	mime	words	sentences	flesch	summary	cache	txt
work_lf2vvwewfjcx3jjp37m7wajlfi	Alexandre Korolev	Indeterminism, Asymptotic Reasoning, and Time Irreversibility in Classical Physics	2007	45	.pdf	application/pdf	11051	1000	72	Note that equation (4) describes a point mass sitting at rest at the apex of the dome, For all times t T> , there is a non-zero net force applied, since the mass is at positions 0r > not the apex, the only force free point on the dome; and the mass We shall refer to this situation as the (proper) case of the mass on the dome (Fig. 3). some initial velocity directed at the apex along the surface: those where the mass halts positioned at the rim and given any initial velocity directed at the apex along the surface, class of trajectories once the mass passes the apex with non-zero velocity as in Fig. 4. "rim" (any fixed point on the dome other than the apex), give it a push up so that the mass The only way to generate non-Lipschitz spontaneous motion of the mass down the	./cache/work_lf2vvwewfjcx3jjp37m7wajlfi.pdf	./txt/work_lf2vvwewfjcx3jjp37m7wajlfi.txt