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::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)
 
::::::: I think relativists have abandoned Ng's position, so he's really arguing with his own side at this point.  As a result, I urge him to reconsider his views with an open mind once he confirms that.--[[User:Aschlafly|Andy Schlafly]] 21:59, 12 December 2009 (EST)
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:::::: First of all, relativity has not "abandoned" the prediction we're talking about.  The velocity addition formulas for both parallel and perpendicular velocities have not changed, and they still predict that an orthogonal force will have a harder time accelerating a fast-moving object.  Physicists may have changed their informal interpretation of this formula, but not the formula itself, nor its predictions.
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:::::: Note also that relativity's prediction can't be all that illogical, because this is what we ''actually observe happening to particles at high speeds.''  If you think that fast-moving particles commit some terrible offense against basic logic, take it up with God. 
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:::::: There is a very simple way to settle this matter:  write an encyclopedia article where the material is properly sourced.  If this is indeed some counterexample or logical flaw in relativity, then one can easily find a book or paper exposing that flaw, and cite it.--[[User:NgSmith|NgSmith]] Sun Dec 13 17:55:04 EST 2009
    
:::::OK, I think I see part of the problem you people are having.  The word "independent" has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)
 
:::::OK, I think I see part of the problem you people are having.  The word "independent" has two different meanings.  Being ''linearly'' independent is a concept from pure mathematics.  Being ''causally'' independent is an unrelated metaphysical concept.  Whether a force pushing on something causes it to move, and by how much, is completely, umm, independent of whether the vectors involved are linearly independent (orthogonal).  Please try to be very careful about the meanings of the terms.  [[User:SaraT|SaraT]] 17:00, 13 December 2009 (EST)
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:::::: I don't think that's the source of our confusion.  I think the main problem is that, according to Newtonian mechanics and thus according to our mechanical intuition, orthogonal things tend to operate independently.  Not only that, but a force exerted on an object is usually independent of the object's momentum.
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:::::: In relativity, none of these things are true, due to the fact that velocities no longer add like vectors (and thus acceleration no longer incurs a cumulative change in velocity in the usual way.)  This is seen as some sort of logical flaw or paradox simply because it contradicts the deeply ingrained intuition that came from the previous theory.--[[User:NgSmith|NgSmith]] Sun Dec 13 18:10:46 EST 2009
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