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    Last modified 01/01/08  


        Copyright © by Nila Gaede 2008

    1.0   A radius is not a distance

    Many of the supernatural physical interpretations of Mathematical Physics are due to the misconceived
    notion of the word distance. Perhaps the most ridiculous example is Special Relativity’s length / distance
    contraction of the muon. Here I look at a lesser one.

    Radius is the property of ONE physical object whereas distance is the separation between TWO of them.
    Radius is either a length or a measure of length. It should never be confused for a distance. The Earth has a
    radius: the qualitative or quantitative length from the center of the Earth to its surface. The orbit of the Moon
    does not have a radius. Now we are talking about the distance or qualitative separation from the center of
    the Earth to the center of the Moon (or to a hypothetical location known as their respective centers of mass).
    If we quantify this distance, we are not talking about either length or distance. We are now alluding to
    distance-traveled, the number of tiles we placed as we walked from the center of the Earth to the center of
    the Moon. Mathematical units such as the meter or the mile are NOT measures of length or distance. They
    are measures of distance-traveled. There is no such thing as a static concept in the whole of Mathematics! A
    mathematician would have no use for it.

    If we say 'the radius of a circle,' we are alluding to a qualitative parameter, an imaginary length extending
    from the center to the edge of the circle. If we instead say that 'the radius of the circle is 15 meters,' we are
    now alluding to a quantitative parameter. We are talking about a number line. We walk along the number line
    to the number 15 and place a unit such as meter after the number. Neither of these concepts should be
    confused with a dimension. In any of its forms, a radius is not the same as the length of 'length, width, and
    height' fame. Radius has nothing to do with the object being 2-D or 3-D.


    2.0   The gravity of the situation

    The idiots of Mathematics have for centuries confused radius with distance. For instance, the
    mathematicians routinely calculate gravity between two spherical celestial objects using distance, but call it
    radius, and use the little r symbol. The reason for this has to do with the fact that the mathematicians define
    a circle as an orbiting object. The circle of Mathematics is not a geometric figure. It is a movie of something
    flying around a path that looks like a circumference (for no reason justifiable in Physics ). In Physics, a
    movie does not qualify as a geometric figure.

    Newton’s gravitation equation is oftentimes written F= GM / r². This equation represents the gravity that an
    object such as the Earth would experience as a result of the influence of the Sun. Here, the big M represents
    the mass of the Sun and the r is supposed to represent the radius of an imaginary circle that has the center
    of mass of the Sun as its center and the center of mass of the Earth as its endpoint.

    The problem with this equation is that it could be misleading if people are blind sided to the fact that we are
    talking about the abstract concept 'center of mass' and not about objects. This equation makes no
    provision for shape.

    For example, the Earth has a flattened-out shape in reality. It is flattened at the poles and elongated at the
    equator. The Earth is not an ideal sphere. It looks more like an oblate spheroid.  Even in the best case
    scenario, if we were to take the 'radius' of the Moon's orbit, assume that it is perfectly circular, and that this
    orbit has its center located in the 'center of mass' of a static Earth, we can’t use the equation (F = G M / r²) to
    calculate the gravity the Earth exerts on the Moon. The shape of the Earth is now essential. For instance, in
    Fig. 1, I compare an oblate spheroid and a prolate spheroid. These two configurations do not generate the
    same gravitational strength. The prolate spheroid would exert a greater attraction on the Moon. This is due
    to distance only indirectly. The physical reason has to do with the number of EM ropes converging on the
    object (in this case the Moon). More ropes superimpose in the oblate scenario and the angles at which the
    ropes come from the Earth's poles to the Moon favors the prolate configuration.

Is the radius of a
circle a distance
or a length?

Adapted for the Internet from:

Why God Doesn't Exist
It is well-established in relativity
that the radius of the Earth is
shorter than the radius of the
Moon's orbit.

Fig. 1
An oblate spheroid generates less
gravitational attraction than the
same amount of matter recon-
figured into a prolate spheroid.  
This difference has nothing to      
do with the radius of the spheroid
or the distance traveled from the
center of the spheroid to the Moon.
It has to do with distance, but only
indirectly. The invisible mechanism
producing gravity consists of
countless ropes that interconnect
every atom in each object. The
prolate spheroid configuration has
a wider angle converging upon the
Moon

    The more correct gravitation equation to use is (F = G M m / d²). The other one is just a ball-park figure: it is a
    shorthand. The gravitational equation contains two masses (M and m), where d represents the distance
    between them. Here, we are not referring to distance-traveled, but to static distance: the separation between
    two surfaces. The reason distance is involved and not distance-traveled is that the ropes work by
    aggregation. The shorthand version (F= G M / r²) has a single mass (M) and confuses radius with distance-
    traveled. Neither of these equations makes allowances for the shape of the objects. Radius has to do with
    physical objects (i.e., geometric figures), for example, the radius of a circle or a sphere. Distance has to do
    with emptiness between two objects, for example, between the ears of a mathematician.