Less Wrong is a community blog devoted to refining the art of human rationality. Please visit our About page for more information.

anonymous15 comments on Artificial Addition - Less Wrong

36 Post author: Eliezer_Yudkowsky 20 November 2007 07:58AM

You are viewing a comment permalink. View the original post to see all comments and the full post content.

Comments (117)

Sort By: Old

You are viewing a single comment's thread.

Comment author: anonymous15 21 November 2007 08:49:55PM 0 points [-]

"But until we actually know what smaller-scale structure".

From http://en.wikipedia.org/wiki/Planck_Length: "Combined, these two theories imply that it is impossible to measure position to a precision greater than the Planck length, or duration to a precision greater than the time a photon traveling at c would take to travel a Planck length"

Therefore, one could in fact say that all time- and distance- derived measurements can in fact be truncated to a fixed number of decimal places without losing any real precision, by using precisions based on the Planck Length. There's no point in having precision smaller than the limits in the quote above, as anything smaller is unobservable in our current understanding of physics.

That length is approximately 1.6 x 10^-35, and the corresponding time duration is approximately 5.33702552 x 10^-44 seconds.