gokfar comments on 2012: Year in Review - Less Wrong

40 Post author: Kaj_Sotala 03 January 2013 11:56AM

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Comment author: [deleted] 05 January 2013 02:04:58AM *  1 point [-]

Tangent to the discussion, this is interesting to me:

any future theory of physics is constrained by the fact that in certain limits it has to reduce to Newtonian mechanics

What is the reason for this? what limits?

Comment author: gwern 05 January 2013 02:58:32AM 6 points [-]
Comment author: Qiaochu_Yuan 05 January 2013 02:28:41AM *  6 points [-]

Newtonian mechanics still correctly predicts the behavior of things that are big and slow, e.g. bowling balls. Therefore, in the limit as things become big and slow, any future theory of physics has to reduce to Newtonian mechanics.

Alternatively and more specifically, special relativity is constrained by the fact that it has to reduce to Newtonian mechanics in the limit as the speed of light tends to infinity, and quantum mechanics is constrained by the fact that it has to reduce to Newtonian mechanics in the limit as Planck's constant tends to zero. Physicists call this idea taking the classical limit.