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    Page 1                         Particles

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      Particles whichever they be are no longer
    thought of as point-like objects, they were
    since long time, widely detected,pictured and
    measured. Stable particles and its counterparts
    the antiparticles can be seen in principle and for
    the sake of simplicity, as spherical and possessing
    a whole continuous interfacial limiting contact
    with the Electromagnetic Field.
      Planck´s constant must be considered as a
    standard of the EM field together with a length
    which we can define p2 arbitrarily, as the least
    trajectory a wave or particle can traverse through
    the EM field in any direction for it has not specific
    referential points.
      As we assume that the mass is a function of the
    particle´s area, and as we possess two well known
    electron values,namely mass and charge besides
    the so-called classical electron radius ....................
    but taking no account,for instance,of precise data,
    we can obtain a value for eq [1] where Se is the
    electron´s area and Eq must be thought of as the
    energy per square centimeter that can host the EM
    field; Eq = 5.120995894 10²³ Mev/cm².
      Thus we define [2] = 8.075907664 exp-45 cm²
    as the minimum area possible in the EM field
    and [3] = 8.986605401 10-²³ cm as the minimum
    displacement any EM field related phenomenon can
    perform. Then [4] = 4.135668991 10-²¹ Mev is the
    smallest particle that can be hosted in EM field;
    that is our well known Planck's constant.
      Now we can evaluate the spherical proton's area
    [5] Sp = 1.832181248 10-²¹ cm²,and its radius
    [6] rp = 1.207478161 10-¹¹ cm.
      In [5b] we can leave out the 1st term of the
    binomial expression who contains no significant data,
    thus it becomes [8]. Its negative result does not
    mean -in principle- it were an antiparticle.
      And so the maximum diameter that an oblate
    proton can perform at the minimum thickness value
    of [3] would be [7] d'p = 3.415263985 10-¹¹ cm.
      The maximum length that a prolate proton might
    achieve is [8] l'p = 5.096978131 cm.
      Speculations done with proton can obviously easily
    be applied to electron:
                 by [5]  Se = 9.9786078830 exp-25 cm².
                 by [7]  d'e = 7.9703068190 10-¹³ cm.
                 by [8]   l'e = 0.0027759669630 cm.
      The value issued from [4] validates the electron
    classical radius one, thus we must consider that the
    rapport between the electron´s wavelength and its
    radius is also valid.
      Values from [3] represents the minimal computable
    path a particle can travel, moreover represents the
    minimal distance between detached particles; that is
    closely in agreement with the value ~ as issued
    from the Heisenberg uncertainty principle.
      Also comparable are the value of [1] and the
    Planck's mass   p   ~10²² Mev ...........................
    which is considered a transient value between the
    gravitational and coulombian effect phenomenas.
      So its value (Eq) represents the biggest particle
    that might be hosted in EM field;
    Its surface will be from [1] Sq = 1 cm².
    Its radius as taken from [6] rq = 0.282094791 cm.


formulae - references - comments hint: EM field stands for the static and unexcited Electromagnetic Field. exp stands for 10's powers. See Weisskopf Rev. of Mod. Physics Vol 21, april 1949, pp 305 [1] [2] [3] [4] [5] [6] [5b] [7] [8] Salam gives 10²³ Mev.

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