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Thread: random walk

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    random walk

    In one dimensional random walk the probability of axial motion in either of two directions is ½. In two dimensions having two axes of motion the probability is ¼. In three dimensions with three axes of motion the probability is 1/8. In four dimensions with four axes of motion the probability is 1/16. For n dimensions with n axes of motion the probability is ½ raised to the nth power. As n approaches infinity the probability of any axial motion approaches zero. When n is exactly infinity then all random walks stop. Since different states of motion exist n never actually reach infinity and consequently absolute rest is impossible. Therefore singularity is not real and big bang never happened in the past or in any other time. This logical sequence would then correctly invalidate the existence of relativistic light-cones and their empty graticules at (0, 0, 0, 0).

    Note that the general expression for finding the probability of n-dimensional random walk is equivalent to the multiplicative factor for finding the amount of remaining radioisotopes using half-lives of radioactive decay. The varying half-lives of radioisotopes, some lasting billions of years, are also a good indication that absolute rest is impossible. Therefore life or death is just varying rates and directions of continuous random walks. It is natural to keep walking. To live forever is to keep walking along a straight (or curved) line. To die is to walk in the opposite direction. Since there are infinite number of lines and directions there are infinite ways to live or to die.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

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    Smile Re: random walk

    Very interesting points Antonio,life itself is a long walk to eventual full realisation of self,
    which of course will take all those billions of years to reach fruition,hopefully though,we will have a more interesting journey than that of the isotope?



    regards michael.
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    reveal herself?

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    Re: random walk

    Quote Originally Posted by mkirkpatrick
    we will have a more interesting journey than that of the isotope?
    What's good for the isotopes is that they have choices whether to walk spontaneously or artificially or naturally or unnaturally.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

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    Smile Re: random walk

    Quote Originally Posted by AntonioLao View Post
    What's good for the isotopes is that they have choices whether to walk spontaneously or artificially or naturally or unnaturally.
    We too have choices my friend,let us both choose wisely.




    regards michael.
    Humilty,coupled with boldness,surprises truth to
    reveal herself?

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    Re: random walk

    Quote Originally Posted by mkirkpatrick
    We too have choices my friend
    What does it take to make the right choice? If elementary particles can think they must be faced with the same dilemma as we have.
    Time independence: [∂E(g)]²=[∂F(a)×∂r(a)]·[∂F(b)×∂r(b)] and Mass independence: a(tr(t)=c²

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    Smile Re: random walk

    Quote Originally Posted by AntonioLao View Post
    What does it take to make the right choice? If elementary particles can think they must be faced with the same dilemma as we have.

    I would say that was elementary my dear Watson,oh I mean Antonio!

    We all have choice,just that some seem to have more freedom to do it than others?



    regards michael.
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    reveal herself?

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    MJA
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    Re: random walk

    Quote Originally Posted by AntonioLao;32807[FONT=Garamond
    ]What's good for the isotopes is that they have choices whether to walk spontaneously or artificially or naturally or unnaturally.
    [/font]


    I don,t know Antonio about an isotope's freedom to choose a form of transportation, but in this country the US of A, the peoples choice is clear, Americans in general don't walk anymore. Infact, if we do walk it's usually on a walking machine at a gym that we just drove the car too, even though the gym was less than a block away.

    And the effect of this choice not to walk is not only the ill health of oneself, a sick populous of America, but also and equally the detrimental health effect of our home planet Earth.
    Agreed?

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    Re: random walk

    I agree with Michael on your thread Antonio, very interesting.

    I'm a great believer in our freedom and I think it is exhibited at the smallest level, that being the asymptotic freedom of the quarks in the proton to the limited freedom you and I enjoy.

    As far as choice at our level I try to follow Spike Lee's advice and "Do The Right Thing".( I think for the most part we all know right from wrong)

    MJA: I follow the laws of enertia,(and since I'm mostly at rest) I'll ride rather then walk. But since I had 3 heart attacks I don't know if anybody should follow my practice of riding rather then walking.

    Best to all,

    Pat

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    MJA
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    Re: random walk

    Quote Originally Posted by Profpat View Post

    MJA: I follow the laws of enertia,(and since I'm mostly at rest) I'll ride rather then walk. But since I had 3 heart attacks I don't know if anybody should follow my practice of riding rather then walking.

    Best to all,

    Pat
    Hi Pat,

    I think exercise is the essence of health, regardless of one's poor health.
    Is it the lack of exercise that finds you in such a way?
    I suggest walking; it does not matter how fast or how far, only that you do.
    Perhaps because as you say: you are mostly at rest, to find a healthy balance you would mostly exercise when not resting.
    I thought it sounded good anyway.


    To your health,

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    MJA
    The truth of everything is less than one inch,
    it is only equal and the lion is one.
    One is free when the door is opened,
    education has the key.
    =

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    Smile Re: random walk

    Quote Originally Posted by AntonioLao View Post
    What does it take to make the right choice? If elementary particles can think they must be faced with the same dilemma as we have.
    It takes being in tune with ourselves,then having the courage to make a decision and
    stick to it!


    regards michael.
    Humilty,coupled with boldness,surprises truth to
    reveal herself?

 

 
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