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What is the smallest possible acceleration?

  1. Oct 16, 2006 #1
    Suppose you have black hole with the mass of 10 solar masses. What is the acceleration that occurs due to the black hole from a distance of 1 light year?

    http://www.google.com/search?q=G*10+solar+masses+/+(1+light+year)^2

    1.48288561 * 10-11 m / s^2

    Since change in distance of a distant particle starting from rest is = 1/2 at^2 the displacement of a distant object after the first unit of planck time would be less than the planck length.

    http://www.google.com/search?q=1/2(G*10+solar+masses+/+(1+light+year)^2)+*+(5.39+*+10^-44+seconds)^2

    2.15404706 * 10^-98 meters

    Is such a distance unphysical? If so, then how is it caused by an apparently physical acceleration?
     
  2. jcsd
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