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→‎Counterexample 4 (limiting behavior): Confirmed NgSmith's calculations about point 4.
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But none of these are counterexamples or "discontinuities":  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009
 
But none of these are counterexamples or "discontinuities":  they are just a misinterpretation of the formulas.  You don't get the momentum of a photon by taking the momentum formula for a mass and setting m=0 and v=c.  That's just not what the formula means, or what they are for.  This item should also be removed.--[[User:NgSmith|NgSmith]] Tue Dec 15 10:16:21 EST 2009
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I agree that this point is invalid. I have personally checked that if you take a massive particle, and make its rest mass tend to zero and its speed tend to c ''while keeping its energy constant'', its four-momentum approaches that of a photon. No discontinuity at all. Since this point has been raised 8 months ago and no opposition has been heard, I will delete point 4 from the list. If anyone is interested to see the details of my calculations, let me know and I'll put them in my userspace. [[User:Toph|Toph]] 09:38, 14 August 2010 (EDT)
    
== Counterexample 9 (Jesus action-at-a-distance) ==
 
== Counterexample 9 (Jesus action-at-a-distance) ==
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