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    August 16, 2005



    John I think you misstate Heisenberg slightly. Commutable states, [x,y]=0, can be defined simultaneously. While Heisenberg works here, there really is no need. Since as the distance between them gets smaller, the time it take Achilles to reach the tortoise also gets smaller, the infinite sum of distances converges to a finite amount of time. In other words, Achilles keeps on reaching the tortoise's 'starting' position faster and faster until he is there in no time!

    John Carmichael

    Hmmm.... Assumption v=constant????
    By laws physics start either implies a moment of time or a moment of action. If v=constant then Vo and To are only at equilibrium at the singular moment in time + Position in said case then yes Achilles cannot overtake the tortoise.

    Heisenberg illustrated that we cannot ascertain accurately two separate physical states in the same formula within a degree a accuracy "x" where x = a finite number.

    At Time N (Tn) we can either measure Vsub or Position (Psub). As Vsub is a function of T then the only measurement can be that of Psub when Vsub=Vinstant. In a function of time Vsub as well as the missing component here Vprime or acceleration implies a progressing clock at which point no accuracy can be applied to Psub!

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